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YET ANOTHER CHAOTIC ATTRACTOR

Department of Electrical and Computer Engineering, University of Houston, Houston, TX 77204-4793, USA

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Department of Information Science and Intelligent Systems, Tokushima University, 2-1, Minami-Josanjima, Tokushima, 770-8506, Japan

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https://doi.org/10.1142/S0218127499001024Cited by:2327 (Source: Crossref)

Abstract

This Letter reports the finding of a new chaotic at tractor in a simple three-dimensional autonomous system, which resembles some familiar features from both the Lorenz and Rossler at tractors.

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- Protecting Compressive Ghost Imaging with Hyperchaotic System and DNA Encoding
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- Image Encryption Scheme Based on Amplitude Modulation of Chaotic Signals
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- A new three-dimensional chaotic system: Dynamical properties and simulation
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- Dynamic Analysis of a Lü Model in Six Dimensions and Its Projections
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  18 March 2016
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  18 March 2016
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  18 March 2016
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  15 March 2016
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  Sundarapandian Vaidyanathan
  15 March 2016
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  15 March 2016
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  Sundarapandian Vaidyanathan
  15 March 2016
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  15 March 2016
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  Sundarapandian Vaidyanathan
  15 March 2016
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  Sundarapandian Vaidyanathan
  15 March 2016
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  15 March 2016
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  15 March 2016
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  16 April 2016
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- Global Chaos Synchronization of a Novel 3-D Chaotic System with Two Quadratic Nonlinearities via Active and Adaptive Control
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  16 April 2016
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- Dynamic Analysis, Adaptive Feedback Control and Synchronization of An Eight-Term 3-D Novel Chaotic System with Three Quadratic Nonlinearities
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- A New Chaotic Attractor and Its Synchronization Implementation
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- Fast projective synchronization of fractional order chaotic and reverse chaotic systems with its application to an affine cipher using date of birth (DOB)
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- A new Lorenz-type hyperchaotic system with a curve of equilibria
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- On a new chaotic system
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  Bocheng Bao,
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- A novel method for producing pseudo random numbers from differential equation-based chaotic systems
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- A chaotic communication system design with chaotic on-off keying (COOK) modulation method
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  3 May 2015 | International Journal of Bifurcation and Chaos, Vol. 25, No. 04
- A New 6D Hyperchaotic System with Four Positive Lyapunov Exponents Coined
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- Neural adaptive control of uncertain chaotic systems with input and output saturation
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  Haijun Wang and Xianyi Li
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  Lu-Yi-Ning Gan, Zhao-Yan Wu and Xiao-Li Gong
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- SINGULAR ORBITS AND DYNAMICS AT INFINITY OF A CONJUGATE LORENZ-LIKE SYSTEM
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- Gallery of Chaotic Attractors Generated by Fractal Network
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- TOPOLOGICAL HORSESHOE IN A FRACTIONAL-ORDER QI FOUR-WING CHAOTIC SYSTEM
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- A Web-Based Intelligent Educational Laboratory System for Forecasting Chaotic Time Series
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- Generalized matrix projective synchronization of general colored networks with different-dimensional node dynamics
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- Adaptive Leader-Following Consensus of Multi-Agent Systems with Unknown Nonlinear Dynamics
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- A kind of binary scaling function projective lag synchronization of chaotic systems with stochastic perturbation
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- Secure OFDM-PON System Based on Chaos and Fractional Fourier Transform Techniques
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- Delayed Bifurcations to Repetitive Spiking and Classification of Delay-Induced Bursting
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- A new mixed-order chaotic system and its synchronization control
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- When Two Dual Chaotic Systems Shake Hands
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- A new 4-D non-equilibrium fractional-order chaotic system and its circuit implementation
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  1 Jun 2014 | Mathematics and Computers in Simulation, Vol. 100
- Simulation studies on the design of optimum PID controllers to suppress chaotic oscillations in a family of Lorenz-like multi-wing attractors
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- Group synchronization and control of a new class of adaptive complex network with Brownian Motion and Time-varying Delay
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- Constructing a Novel No-Equilibrium Chaotic System
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- Exponential synchronization of discontinuous chaotic systems via delayed impulsive control and its application to secure communication
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- Adaptive impulsive synchronization for a class of fractional-order chaotic and hyperchaotic systems
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- Generation of a novel spherical chaotic attractor from a new three-dimensional system
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- Synchronization of transformed Lorenz Stenflo system using Active Backstepping
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- Complex Dynamics in the Unified Lorenz-Type System
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- On Darboux polynomials and rational first integrals of the generalized Lorenz system
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- Centers on center manifolds in the Lorenz, Chen and Lü systems
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- Pinning synchronization with low energy cost
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- A discussion on the coexistence of heteroclinic orbit and saddle foci for third-order systems
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- Electronic circuit design of Sprott H chaotic system with CCII+
  Serdar Cicek, Abdullah Ferikoglu and Ihsan Pehlivan
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- Toward Searching Possible Oscillatory Region in Order Space for Nonlinear Fractional-Order Systems
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  30 October 2013 | Journal of Computational and Nonlinear Dynamics, Vol. 9, No. 2
- HOPF BIFURCATION OF CODIMENSION ONE AND DYNAMICAL SIMULATION FOR A 3D AUTONOMOUS CHAOTIC SYSTEM
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  25 March 2014 | International Journal of Bifurcation and Chaos, Vol. 24, No. 03
- Chaotification of a Class of Linear Switching Systems by Hybrid Driven Methods
  Yuping Zhang,
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  25 March 2014 | International Journal of Bifurcation and Chaos, Vol. 24, No. 03
- Analytical and numerical investigation of a new Lorenz-like chaotic attractor with compound structures
  Shijian Cang, Zenghui Wang, Zengqiang Chen and Hongyan Jia
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  1 Jan 2013 | Discrete Dynamics in Nature and Society, Vol. 2013
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  25 January 2012 | International Journal of Modern Physics B, Vol. 25, No. 28
- EXACT HOMOCLINIC ORBITS AND HETEROCLINIC FAMILIES FOR A THIRD-ORDER SYSTEM IN THE CHAZY CLASS XI (N = 3)
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- Mathematical analysis of a chaotic model in relevance to monsoon ISO
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- A fuzzy adaptive variable-structure control scheme for uncertain chaotic MIMO systems with sector nonlinearities and dead-zones
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- Novel four-dimensional autonomous chaotic system generating one-, two-, three- and four-wing attractors
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- Numerical approximation of a class of discontinuous systems of fractional order
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- The Riddled Property of the Lü Attractor
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  1 Oct 2011
- Si'lnikov Heterclinic Orbits of a New Chaos
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  1 Oct 2011
- Adaptive Control of 2D Discrete-Time Ushiki System with Uncertain Parameters or Not
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- Local Manifolds and Closed Orbits of the Conjugate Lorenz-Type System
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- Two Novel Synchronization Criteria for Unified Chaotic Systems via LMI
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- Chaos Control and Synchronization of a Three-Mode System of Couette-Taylor Flow
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- Analysis and Circuit Design of a Fractional Four-Wing Chaotic Attractor
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- Hopf Bifurcation Analysis and Circuit Simulation of a New Chen Hyper-Chaotic System
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- Self-Optimized Nonlinear PID Controller for Networked Chaotic Systems to Synchronize onto Arbitrary Orbit
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- Local Stability and Hopf Bifurcation Analysis of the Arneodo’s System
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  25 January 2012 | International Journal of Bifurcation and Chaos, Vol. 21, No. 09
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  25 January 2012 | International Journal of Bifurcation and Chaos, Vol. 21, No. 09
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  9 September 2011 | Chinese Physics B, Vol. 20, No. 9
- Forming and implementing a hyperchaotic system with rich dynamics
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  25 January 2012 | International Journal of Modern Physics B, Vol. 25, No. 20
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  25 January 2012 | International Journal of Modern Physics B, Vol. 25, No. 20
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  1 Jun 2010 | Nonlinear Analysis: Real World Applications, Vol. 11, No. 3
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- Construction of a New Fractional Chaotic System and Generalized Synchronization
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  17 June 2010 | Communications in Theoretical Physics, Vol. 53, No. 6
- Investigation of a Unified Chaotic System and Its Synchronization by Simulations
  Wu Qing-Chu, Fu Xin-Chu and Michael Small
  15 June 2010 | Chinese Physics Letters, Vol. 27, No. 6
- Generating one-, two-, three- and four-scroll attractors from a novel four-dimensional smooth autonomous chaotic system
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  10 June 2010 | Chinese Physics B, Vol. 19, No. 6
- A hyper chaos based encryption algorithm for data of network risk assessment
  Wang Wei, Xi He, Dongning Zheng, Fenlin Liu and Xin Ge
  1 Jun 2010
- Reduced‐order impulsive control for a class of nonlinear systems
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  8 June 2009 | International Journal of Robust and Nonlinear Control, Vol. 20, No. 8
- ANALYSIS OF STOCHASTIC CYCLES IN THE CHEN SYSTEM
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  2 May 2012 | International Journal of Bifurcation and Chaos, Vol. 20, No. 05
- NEW CONSTRUCTION OF MIXED-MODE CHAOTIC CIRCUITS
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  2 May 2012 | International Journal of Bifurcation and Chaos, Vol. 20, No. 05
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  2 May 2012 | International Journal of Bifurcation and Chaos, Vol. 20, No. 05
- Existence of attractor and control of a 3D differential system
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  19 November 2009 | Nonlinear Dynamics, Vol. 60, No. 3
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  27 November 2009 | Nonlinear Dynamics, Vol. 60, No. 3
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- A New Approach for Impulsive Stabilization of Liu's System
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  26 May 2010 | Communications in Theoretical Physics, Vol. 53, No. 5
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  1 May 2010
- Synchronization of unified chaotic system by robust H<inf>2</inf>/sliding mode control
  Omolbanin Yazdanbakhsh and Saeid Hoseinia
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- ADAPTIVE FUZZY SYNCHRONIZATION OF TWO DIFFERENT CHAOTIC SYSTEMS WITH STOCHASTIC UNKNOWN PARAMETERS
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- AN UNUSUAL 3D AUTONOMOUS QUADRATIC CHAOTIC SYSTEM WITH TWO STABLE NODE-FOCI
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  2 May 2012 | International Journal of Bifurcation and Chaos, Vol. 20, No. 04
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- Strange attractors in dissipative Nambu mechanics: classical and quantum aspects
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  9 April 2010 | Journal of High Energy Physics, Vol. 2010, No. 4
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  16 April 2010 | International Journal of Control, Automation and Systems, Vol. 8, No. 2
- Passive control on a unified chaotic system
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  1 Apr 2010 | Nonlinear Analysis: Real World Applications, Vol. 11, No. 2
- Adaptive synchronization of the complex dynamical network with non-derivative and derivative coupling
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  1 Apr 2010 | Physics Letters A, Vol. 374, No. 15-16
- A novel chaotic system with one source and two saddle-foci in Hopfield neural networks
  Chen Peng-Fei, Chen Zeng-Qiang and Wu Wen-Juan
  22 April 2010 | Chinese Physics B, Vol. 19, No. 4
- Adaptive and impulsive cluster synchronization of a general complex dynamical network
  Bingxiong Shi, Junan Lu, Jinhu Lu and Xinghuo Yu
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- AN EFFECTIVE METHOD FOR DETECTING CHAOS IN FRACTIONAL-ORDER SYSTEMS
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  2 May 2012 | International Journal of Bifurcation and Chaos, Vol. 20, No. 03
- COMPARISON OF GENERALIZED COMPETITIVE MODES AND RETURN MAPS FOR CHARACTERIZING DIFFERENT TYPES OF CHAOTIC ATTRACTORS IN CHEN SYSTEM
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  2 May 2012 | International Journal of Bifurcation and Chaos, Vol. 20, No. 03
- Simple adaptive variable structure control for unknown chaotic systems
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- On dynamics analysis of a novel three-scroll chaotic attractor
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  1 Mar 2010 | Journal of the Franklin Institute, Vol. 347, No. 2
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  16 March 2010 | Chinese Physics B, Vol. 19, No. 3
- A Chaotic System with Constant Lyapunov Exponent Spectrum and its Evolvement
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  1 Mar 2010
- Stabilization of Unstable Fixed Points of Fractional-Order Systems by Fractional-Order Linear Controllers and Its Applications in Suppression of Chaotic Oscillations
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  4 February 2010 | Journal of Dynamic Systems, Measurement, and Control, Vol. 132, No. 2
- ON THE NONEQUIVALENCE OF LORENZ SYSTEM AND CHEN SYSTEM
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  2 May 2012 | International Journal of Bifurcation and Chaos, Vol. 20, No. 02
- A four-wing hyper-chaotic attractor and transient chaos generated from a new 4-D quadratic autonomous system
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- A multi-step differential transform method and application to non-chaotic or chaotic systems
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- A novel one equilibrium hyper-chaotic system generated upon Lü attractor
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- Robust Trajectory Tracking for an Electrohydraulic Actuator
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- Adaptive synchronization of an uncertain Qi system via only one scalar controller
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  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 19, No. 04
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  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 19, No. 04
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  14 November 2007 | Journal of Physics A: Mathematical and Theoretical, Vol. 40, No. 48
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  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 17, No. 11
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  23 November 2007 | Chinese Physics, Vol. 16, No. 11
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  23 November 2007 | Chinese Physics, Vol. 16, No. 11
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  23 November 2007 | Chinese Physics, Vol. 16, No. 11
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- Experimental Confirmation of a Modified Lorenz System
  Liu Ling, Liu Chong-Xin and Zhang Yan-Bin
  28 September 2007 | Chinese Physics Letters, Vol. 24, No. 10
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  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 17, No. 09
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  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 17, No. 08
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  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 17, No. 08
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  2 May 2012 | International Journal of Modern Physics B, Vol. 21, No. 17
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  Zheng-Ming Ge and Kun-Wei Yang
  1 Jul 2007 | Chaos, Solitons & Fractals, Vol. 33, No. 1
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- THE GENERATION AND ANALYSIS OF A NEW FOUR-DIMENSIONAL HYPERCHAOTIC SYSTEM
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- A Practical Chaotic Secure Communication Scheme Based on Chen's System
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  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 16, No. 11
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  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 16, No. 10
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  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 16, No. 10
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  26 July 2006 | Chinese Physics, Vol. 15, No. 8
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  1 Jun 2006
- Circuit Design and Implementation of a Unified Chaotic System
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  1 Jun 2006
- Synchronization of Complex Dynamical Networks
  Zhi Li
  1 Jun 2006
- Synchronization of Mechanical Systems with a New Van der Pol Chaotic Oscillator
  Sinuhe I. Benitez, Luis T. Aguilar and Leonardo Acho
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- Reconstructing the nonlinear dynamical systems by evolutionary computation techniques
  Liu Minzhong and Kang Lishan
  1 May 2006 | Wuhan University Journal of Natural Sciences, Vol. 11, No. 3
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- A HYPERCHAOS GENERATED FROM CHEN'S SYSTEM
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  DAVID M. WALKER
  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 16, No. 04
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  1 Mar 2006 | Chaos, Solitons & Fractals, Vol. 27, No. 5
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  1 Feb 2006 | Chaos, Solitons & Fractals, Vol. 27, No. 3
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  1 Feb 2006 | Physica A: Statistical Mechanics and its Applications, Vol. 360, No. 2
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  1 Feb 2006 | Physics Letters A, Vol. 351, No. 1-2
- Numerical Computations
  Michael Trott
  1 Jan 2006
- Fuzzy Chaos Synchronization via Sampled Driving Signals
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  1 Jan 2006
- Digital Fuzzy Set-Point Regulating Chaotic Systems: Intelligent Digital Redesign Approach
  Ho Jae Lee, Jin Bae Park and Young Hoon Joo
  1 Jan 2006
- Chaotification of the Fuzzy Hyperbolic Model
  Huaguang Zhang, Zhiliang Wang and Derong Liu
  1 Jan 2006
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- Observers for a Class of Chaotic Systems
  Ping Zhou
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  1 Jan 2006 | Chaos, Solitons & Fractals, Vol. 27, No. 1
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  1 Jan 2006 | Chaos, Solitons & Fractals, Vol. 27, No. 1
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  1 Jan 2006 | Physics Letters A, Vol. 348, No. 3-6
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- Trajectory tracking for delayed recurrent neural networks
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  1 Jan 2006 | IEEE Transactions on Circuits and Systems I: Regular Papers, Vol. 53, No. 12
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  1 Jan 2006 | IEEE Transactions on Circuits and Systems II: Express Briefs, Vol. 53, No. 1
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  1 Jan 2006 | International Journal of Nonlinear Sciences and Numerical Simulation, Vol. 7, No. 3
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  Alexander G. Loukianov, Yoshio Morales Teraoka and Yuri V. Orlov
  1 Jan 2006 | IFAC Proceedings Volumes, Vol. 39, No. 8
- On the generalized Lorenz canonical form
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  1 Dec 2005 | Chaos, Solitons & Fractals, Vol. 26, No. 5
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  16 November 2005 | Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 15, No. 4
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  Lu Jun-an, Zhou Jin and Li Yi-tian
  1 Nov 2005 | Wuhan University Journal of Natural Sciences, Vol. 10, No. 6
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  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 15, No. 10
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  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 15, No. 10
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  Zhenya Yan
  1 Sep 2005 | Applied Mathematics and Computation, Vol. 168, No. 2
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  1 Sep 2005 | Chaos, Solitons & Fractals, Vol. 25, No. 5
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  1 Sep 2005 | Physics Letters A, Vol. 344, No. 2-4
- NEURAL NETWORK-BASED DIGITAL REDESIGN APPROACH FOR CONTROL OF UNKNOWN CONTINUOUS-TIME CHAOTIC SYSTEMS
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  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 15, No. 08
- FREQUENCY DOMAIN METHOD FOR THE DICHOTOMY OF MODIFIED CHUA'S EQUATIONS
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  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 15, No. 08
- ENERGY-LIKE FUNCTIONS FOR SOME DISSIPATIVE CHAOTIC SYSTEMS
  C. SARASOLA,
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  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 15, No. 08
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  1 Aug 2005 | Physica A: Statistical Mechanics and its Applications, Vol. 353
- On the security of 3D Cat map based symmetric image encryption scheme
  Kai Wang, Pei, Liuhua Zou, Aiguo Song and Zhenya He
  1 Aug 2005 | Physics Letters A, Vol. 343, No. 6
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  1 January 2005 | International Journal of Circuit Theory and Applications, Vol. 33, No. 4
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  1 Jul 2005 | Chaos, Solitons & Fractals, Vol. 25, No. 1
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  M.T. Yassen
  1 Jul 2005 | Chaos, Solitons & Fractals, Vol. 25, No. 2
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  1 Jul 2005 | Physica A: Statistical Mechanics and its Applications, Vol. 352, No. 2-4
- Q-S synchronization in 3D Hénon-like map and generalized Hénon map via a scalar controller
  Zhenya Yan
  1 Jul 2005 | Physics Letters A, Vol. 342, No. 4
- Controlling chaotic Lu systems using impulsive control
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  1 Jun 2005 | Journal of the Physical Society of Japan, Vol. 74, No. 6
- HYPERCHAOS IN THE FRACTIONAL-ORDER NONAUTONOMOUS CHEN'S SYSTEM AND ITS SYNCHRONIZATION
  HONGBIN ZHANG,
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  GUANRONG CHEN, and
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  21 November 2011 | International Journal of Modern Physics C, Vol. 16, No. 05
- An Anti-Control Scheme for Spiral under Lorenz Chaotic Signals
  Ma Jun, Ying He-Ping and Pu Zhong-Sheng
  14 April 2005 | Chinese Physics Letters, Vol. 22, No. 5
- The existence of homoclinic orbits to saddle-focus
  Desheng Shang and Maoan Han
  1 Apr 2005 | Applied Mathematics and Computation, Vol. 163, No. 2
- Adaptive synchronization of two different uncertain chaotic systems
  M.T. Yassen
  1 Apr 2005 | Physics Letters A, Vol. 337, No. 4-6
- Controlling a unified chaotic system to hyperchaotic
  Yuxia Li, Guanrong Chen and W.K.S. Tang
  1 Apr 2005 | IEEE Transactions on Circuits and Systems II: Express Briefs, Vol. 52, No. 4
- Ši’lnikov Chaos in the Generalized Lorenz Canonical Form of Dynamical Systems
  Tianshou Zhou, Guanrong Chen and Sergej ČelikovskÝ
  1 March 2005 | Nonlinear Dynamics, Vol. 39, No. 4
- Adaptive synchronization of Rossler and Lü systems with fully uncertain parameters
  M YASSEN
  1 Mar 2005 | Chaos, Solitons & Fractals, Vol. 23, No. 5
- On a four-dimensional chaotic system
  G QI, S DU, G CHEN, Z CHEN and Z YUAN
  1 Mar 2005 | Chaos, Solitons & Fractals, Vol. 23, No. 5
- On synchronization of three chaotic systems
  J YAN and C LI
  1 Mar 2005 | Chaos, Solitons & Fractals, Vol. 23, No. 5
- A new scheme to generalized (lag, anticipated, and complete) synchronization in chaotic and hyperchaotic systems
  Zhenya Yan
  9 December 2004 | Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 15, No. 1
- Global synchronization criterion and adaptive synchronization for new chaotic system
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  1 Feb 2005 | Chaos, Solitons & Fractals, Vol. 23, No. 4
- Simplex sliding mode control for nonlinear uncertain systems via chaos optimization
  Zhao Lu, Leang-San Shieh, Guanrong Chen and Norman P. Coleman
  1 Feb 2005 | Chaos, Solitons & Fractals, Vol. 23, No. 3
- Attraction/repulsion functions in a new class of chaotic systems
  Zhisheng Duan, Jin-Zhi Wang and Lin Huang
  1 Feb 2005 | Physics Letters A, Vol. 335, No. 2-3
- Visual and Audio Secret Sharing
  1 Jan 2005
- Chaos Q–S synchronization between Rössler system and the new unified chaotic system
  Zhenya Yan
  1 Jan 2005 | Physics Letters A, Vol. 334, No. 5-6
- Force Tracking Neural Control for an Electro-Hydraulic Actuator Via Second Order Sliding Mode
  C. Lizalde, A. Loukianov and E. Sanchez
  1 Jan 2005
- Fuzzy Tracking Control for a Class of Chaotic Systems
  J. Jalomo-Cuevas and B. Castillo-Toledo
  1 Jan 2005
- Real-Time Chaos Stabilization Via Inverse Optimal Control
  A. Jimenez, E.N. Sanchez, J.P. Perez and Guanrong Chen
  1 Jan 2005
- Synchronization of Two Different Uncertain Chaotic Systems via Adaptive Control
  A.A. Emadzadeh and M. Haeri
  1 Jan 2005
- An image encryption algorithm based on mixed chaotic dynamic systems and external keys
  Peng Fei, Shui-Sheng Qiu and Long Min
  1 Jan 2005
- Study on ewb design and simulation of the unified chaos and its control system
  Zhihong Yang, Qionghui Yao and Huaishu Li
  1 Jan 2005
- A chaotic system and its circuitry implementation
  Guangyi Wang, Xingmin Shi, Shuisheng Qiu and Zhizhong Li
  1 Jan 2005
- Control linear and nonlinear generalized synchronization of chaotic systems
  Yan-Li Zou and Jie Zhu
  1 Jan 2005
- Secure synchronization of a class of chaotic systems from a nonlinear observer approach
  1 Jan 2005 | IEEE Transactions on Automatic Control, Vol. 50, No. 1
- Laws of Licensing: U.S. Computer Information Licensing Under the Common Law, the Uniform Commercial Code, and the Uniform Computer Information Transactions Act
  Robert C. Richards
  1 Jan 2005 | SSRN Electronic Journal, Vol. 208
- Controlling lü-system using partial linearization
  Yu Yong-guang and Zhang Suo-chun
  1 Dec 2004 | Applied Mathematics and Mechanics, Vol. 25, No. 12
- Force tracking control for electro-hydraulic actuators by recurrent neural networks
  Carlos A. Lizalde, Ramon A. Felix, Alexander G. Loukianov and Edgar N. Sanchez
  1 Dec 2004 | IFAC Proceedings Volumes, Vol. 37, No. 21
- CONTROLLING CHAOS IN HIGHER-ORDER DYNAMICAL SYSTEMS
  ABDELKRIM BOUKABOU and
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  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 14, No. 11
- SYNCHRONIZATION OF MODIFIED CHEN SYSTEM
  E. M. ELABBASY,
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  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 14, No. 11
- Chaos in the fractional order Chen system and its control
  Chunguang Li and Guanrong Chen
  1 Nov 2004 | Chaos, Solitons & Fractals, Vol. 22, No. 3
- Global Dynamics in the Periodically Forced Chen System
  D. Huang
  1 Nov 2004 | Progress of Theoretical Physics, Vol. 112, No. 5
- A new discrete chaotic system with rational fraction and its dynamical behaviors
  Jun-an Lu, Xiaoqun Wu, Jinhu Lü and Lishan Kang
  1 Oct 2004 | Chaos, Solitons & Fractals, Vol. 22, No. 2
- Adaptive control of uncertain Lü system
  Xiaoqun Wu and Jun-an Lu
  1 Oct 2004 | Chaos, Solitons & Fractals, Vol. 22, No. 2
- Chaos in Chen's system with a fractional order
  Changpin Li and Guojun Peng
  1 Oct 2004 | Chaos, Solitons & Fractals, Vol. 22, No. 2
- Homoclinic and heteroclinic orbits in a modified Lorenz system
  Zhong Li, Guanrong Chen and Wolfgang A. Halang
  1 Oct 2004 | Information Sciences, Vol. 165, No. 3-4
- Chaos and hyperchaos in the fractional-order Rössler equations
  Chunguang Li and Guanrong Chen
  1 Oct 2004 | Physica A: Statistical Mechanics and its Applications, Vol. 341
- Pinning a Complex Dynamical Network to Its Equilibrium
  X. Li, X. Wang and G. Chen
  1 Oct 2004 | IEEE Transactions on Circuits and Systems I: Regular Papers, Vol. 51, No. 10
- SINGLE-INPUT MULTI-OUTPUT STATE-FEEDBACK CHAOTIFICATION OF GENERAL DISCRETE SYSTEMS
  HUAIZHOU ZHANG and
  GUANRONG CHEN
  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 14, No. 09
- CHEN'S ATTRACTOR EXISTS
  TIANSHOU ZHOU,
  YUN TANG, and
  GUANRONG CHEN
  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 14, No. 09
- Impulsive control and its application to Lü's chaotic system
  Dilan Chen, Jitao Sun and Qidi Wu
  1 Sep 2004 | Chaos, Solitons & Fractals, Vol. 21, No. 5
- Hopf bifurcation analysis of the Lü system
  Yongguang Yu and Suochun Zhang
  1 Sep 2004 | Chaos, Solitons & Fractals, Vol. 21, No. 5
- A zero-crossing approach to uncover the mask by chaotic encryption with periodic modulation
  Chin Yi Chee, Daolin Xu and Steven R. Bishop
  1 Sep 2004 | Chaos, Solitons & Fractals, Vol. 21, No. 5
- Chaos synchronization using single variable feedback based on backstepping method
  Jian Zhang, Chunguang Li, Hongbin Zhang and Juebang Yu
  1 Sep 2004 | Chaos, Solitons & Fractals, Vol. 21, No. 5
- Synchronizing strict-feedback chaotic system via a scalar driving signal
  Shihua Chen, Dongxiao Wang, Li Chen, Qunjiao Zhang and Changping Wang
  1 Sep 2004 | Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 14, No. 3
- FUZZY CHAOS SYNCHRONIZATION VIA SAMPLED DRIVING SIGNALS
  JUAN GONZALO BARAJAS-RAMÍREZ,
  GUANRONG CHEN, and
  LEANG S. SHIEH
  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 14, No. 08
- Adaptive feedback synchronization of a unified chaotic system
  Junan Lu, Xiaoqun Wu, Xiuping Han and Jinhu Lü
  1 Aug 2004 | Physics Letters A, Vol. 329, No. 4-5
- CONTROLLING CHAOS AND HYPERCHAOS BY SWITCHING MODULATION OF SYSTEMS PARAMETERS
  XIAO-SHU LUO,
  BING-HONG WANG,
  GUAN-RONG CHEN,
  PIN-QUN JIANG,
  JIN-QING FANG, and
  HONG-JUN QUAN
  25 January 2012 | International Journal of Modern Physics B, Vol. 18, No. 17n19
- LIFTED DIGITAL REDESIGN OF PREDICTION-BASED DIGITAL CONTROLLER FOR HYBRID CHAOTIC SYSTEM
  HSUN-PANG WANG,
  JASON SHENG-HONG TSAI,
  YONG-IL YI, and
  LEANG-SAN SHIEH
  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 14, No. 07
- A symmetric image encryption scheme based on 3D chaotic cat maps
  Guanrong Chen, Yaobin Mao and Charles K. Chui
  1 Jul 2004 | Chaos, Solitons & Fractals, Vol. 21, No. 3
- Adaptive synchronization of Lü system with uncertain parameters
  E.M. Elabbasy, H.N. Agiza and M.M. El-Dessoky
  1 Jul 2004 | Chaos, Solitons & Fractals, Vol. 21, No. 3
- Adaptive backstepping synchronization of uncertain chaotic system
  Yongguang Yu and Suochun Zhang
  1 Jul 2004 | Chaos, Solitons & Fractals, Vol. 21, No. 3
- Chaos synchronization of Lü dynamical system
  H.N Agiza
  1 Jul 2004 | Nonlinear Analysis: Theory, Methods & Applications, Vol. 58, No. 1-2
- An equilibrium point stabilization strategy for the Chen system
  Jose Alvarez-Ramirez, Ilse Cevantes and Ricardo Femat
  1 Jun 2004 | Physics Letters A, Vol. 326, No. 3-4
- Stabilizing Unstable Equilibria of Chaotic Systems From a State Observer Approach
  G.-P. Jiang, G. Chen and W.K.-S. Tang
  1 Jun 2004 | IEEE Transactions on Circuits and Systems II: Express Briefs, Vol. 51, No. 6
- A NEW CHAOTIC SYSTEM AND BEYOND: THE GENERALIZED LORENZ-LIKE SYSTEM
  JINHU LÜ,
  GUANRONG CHEN, and
  DAIZHAN CHENG
  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 14, No. 05
- A SIMPLE SMOOTH CHAOTIC SYSTEM WITH A 3-LAYER ATTRACTOR
  TIANSHOU ZHOU and
  GUANRONG CHEN
  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 14, No. 05
- CAN A THREE-DIMENSIONAL SMOOTH AUTONOMOUS QUADRATIC CHAOTIC SYSTEM GENERATE A SINGLE FOUR-SCROLL ATTRACTOR?
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  GUANRONG CHEN
  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 14, No. 04
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  ZHAO LU,
  LEANG-SAN SHIEH, and
  JAGDISH CHANDRA
  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 14, No. 04
- A unified chaotic system with continuous periodic switch
  Lu Jun-an and Wu Xiaoqun
  1 Apr 2004 | Chaos, Solitons & Fractals, Vol. 20, No. 2
- Robust adaptive synchronization of uncertain dynamical networks
  Zhi Li and Guanrong Chen
  1 Apr 2004 | Physics Letters A, Vol. 324, No. 2-3
- DYNAMICAL ANALYSIS OF A CHAOTIC SYSTEM WITH TWO DOUBLE-SCROLL CHAOTIC ATTRACTORS
  WENBO LIU and
  GUANRONG CHEN
  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 14, No. 03
- Constructing a new chaotic system based on the S̆ilnikov criterion
  Tianshou Zhou, Guanrong Chen and Qigui Yang
  1 Mar 2004 | Chaos, Solitons & Fractals, Vol. 19, No. 4
- Impulsive control of a new chaotic system
  Jitao Sun
  1 Mar 2004 | Mathematics and Computers in Simulation, Vol. 64, No. 6
- Identifying parameter by identical synchronization between different systems
  Debin Huang and Rongwei Guo
  1 Mar 2004 | Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 14, No. 1
- Parameter identification and control of uncertain unified chaotic system via adaptive extending equilibrium manifold approach
  Jie Liu, Shihua Chen and Jin Xie
  1 Feb 2004 | Chaos, Solitons & Fractals, Vol. 19, No. 3
- Stabilizing Unstable Equilibrium Point of Unified Chaotic Systems with Unknown Parameter Using Sliding Mode Control
  Guan Xin-Ping and He Yan-Hui
  19 February 2004 | Chinese Physics Letters, Vol. 21, No. 2
- A new conditioning dual-rate observer-based tracker for hybrid chaotic systems with saturating actuators
  Jun Y. Lin, Jason S. H. Tsai, Leang S. Shieh and Shu M. Guo
  15 Jan 2004 | International Journal of Systems Science, Vol. 35, No. 1
- Chaotic attractor of the controlled Heˊnon map
  Changpin Li, Xiaohua Xia and Guanrong Chen
  1 Jan 2004
- Adaptive switching control and synchronization of a class of nonlinear systems
  Jing Yao, Zhi-Hong Guan and D.J. Hill
  1 Jan 2004
- Bridge the gap between the PWL Lorenz and PWL Chen's system
  Liu Jie, Lu Jun-an and Wu Xiaoqun
  1 Jan 2004
- Dynamical analysis for the compound structure of chen's system
  Liu Jie, Lu Jun-an and Wu Xiaoqun
  1 Jan 2004
- Adaptive synchronization and parameter identification for a unified chaotic system
  Zhongsheng Wang and Xiaoxin Liao
  1 Jan 2004
- LMI-based fuzzy stability and synchronization of Chen's system
  Yan-Wu Wang, Zhi-Hong Guan and Hua O. Wang
  1 Dec 2003 | Physics Letters A, Vol. 320, No. 2-3
- Output Feedback Fuzzy Control for Uncertain Nonlinear Systems
  Wook Chang, Jin Bae Park, Young Hoon Joo and Guanrong Chen
  29 January 2004 | Journal of Dynamic Systems, Measurement, and Control, Vol. 125, No. 4
- Control chaos in transition system using sampled-data feedback
  Lu Jun-an, Xie Jin, Lü Jin-hu and Chen Shi-hua
  1 Nov 2003 | Applied Mathematics and Mechanics, Vol. 24, No. 11
- The characteristic function method of finding first integrals of ODEs
  Tianshou Zhou and Jinzhi Lei
  1 Nov 2003 | Chaos, Solitons & Fractals, Vol. 18, No. 4
- Parameter identification and backstepping control of uncertain Lü system
  Wu Xiao-Qun and Lu Jun-An
  1 Nov 2003 | Chaos, Solitons & Fractals, Vol. 18, No. 4
- On robust control of uncertain chaotic systems: a sliding-mode synthesis via chaotic optimization
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  1 Nov 2003 | Chaos, Solitons & Fractals, Vol. 18, No. 4
- A FOUR-WING BUTTERFLY ATTRACTOR FROM A FULLY AUTONOMOUS SYSTEM
  A. S. ELWAKIL,
  S. ÖZOǦUZ, and
  M. P. KENNEDY
  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 13, No. 10
- Reconstruction of the Lorenz and Chen systems with noisy observations
  Junan Lu, Jinhu Lü, Jin Xie and Guanrong Chen
  1 Oct 2003 | Computers & Mathematics with Applications, Vol. 46, No. 8-9
- Controlling Hyper Chaos with Feedback of Dynamical Variables
  Xiao-Shu Luo and
  Bing-Hong Wang
  25 January 2012 | International Journal of Modern Physics B, Vol. 17, No. 22n24
- Complex Dynamical Behaviors of the Chaotic Chen's System
  Tianshou Zhou,
  Yun Tang, and
  Guanrong Chen
  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 13, No. 09
- Synchronization of unified chaotic system using occasional driving
  Wu Xiao-qun and Lu Jun-an
  1 Sep 2003 | Wuhan University Journal of Natural Sciences, Vol. 8, No. 3
- A New Criterion for Chaos Synchronization Using Linear State Feedback Control
  Guo-Ping Jiang,
  Guanrong Chen, and
  Wallace Kit-Sang Tang
  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 13, No. 08
- Controlling uncertain Lü system using linear feedback
  Jinhu Lü and Junan Lu
  1 Jul 2003 | Chaos, Solitons & Fractals, Vol. 17, No. 1
- A Note on Hopf Bifurcation in Chen's System
  Changpin Li and
  Guanrong Chen
  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 13, No. 06
- Feedback and adaptive control for the synchronization of Chen system via a single variable
  Yanwu Wang, Zhi-Hong Guan and Hua O. Wang
  1 Jun 2003 | Physics Letters A, Vol. 312, No. 1-2
- HYBRID CHAOS SYNCHRONIZATION
  JUAN-GONZALO BARAJAS-RAMÍREZ,
  GUANRONG CHEN, and
  LEANG S. SHIEH
  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 13, No. 05
- Robust adaptive synchronization of Rossler and Chen chaotic systems via slide technique
  Zhi Li and Songjiao Shi
  1 May 2003 | Physics Letters A, Vol. 311, No. 4-5
- A simple global synchronization criterion for coupled chaotic systems
  Guo-Ping Jiang, Wallace Kit-Sang Tang and Guanrong Chen
  1 Mar 2003 | Chaos, Solitons & Fractals, Vol. 15, No. 5
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  Wook Chang, Jin Bae Park and Young Hoon Joo
  1 Feb 2003 | IEEE Transactions on Fuzzy Systems, Vol. 11, No. 1
- A NEW CHAOTIC SYSTEM AND ITS GENERATION
  WENBO LIU and
  GUANRONG CHEN
  2 May 2012 | International Journal of Bifurcation and Chaos, Vol. 13, No. 01
- Chaos control of Chen chaotic dynamical system
  M.T. Yassen
  1 Jan 2003 | Chaos, Solitons & Fractals, Vol. 15, No. 2
- Adaptive recurrent neural control for noisy chaos synchronization
  E.N. Sanchez and J.P. Perez
  1 Jan 2003
- Chaotification via feedback control: theories, methods, and applications
  Guanrong Chen
  1 Jan 2003
- BRIDGE THE GAP BETWEEN THE LORENZ SYSTEM AND THE CHEN SYSTEM
  JINHU LÜ,
  GUANRONG CHEN,
  DAIZHAN CHENG, and
  SERGEJ CELIKOVSKY
  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 12, No. 12
- Synchronization of a unified chaotic system and the application in secure communication
  Junan Lu, Xiaoqun Wu and Jinhu Lü
  1 Dec 2002 | Physics Letters A, Vol. 305, No. 6
- Stabilizing unstable equilibrium points of a class of chaotic systems using a state PI regulator
  Guo-Ping Jiang, Guanrong Chen and W.K.-S. Tang
  1 Dec 2002 | IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, Vol. 49, No. 12
- LOCAL BIFURCATIONS OF THE CHEN SYSTEM
  JINHU LÜ,
  TIANSHOU ZHOU,
  GUANRONG CHEN, and
  SUOCHUN ZHANG
  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 12, No. 10
- The optimal control of Chen chaotic dynamical system
  M.T. Yassen
  1 Sep 2002 | Applied Mathematics and Computation, Vol. 131, No. 1
- Chaos synchronization between linearly coupled chaotic systems
  Jinhu Lü, Tianshou Zhou and Suochun Zhang
  1 Sep 2002 | Chaos, Solitons & Fractals, Vol. 14, No. 4
- Synchronization of an uncertain unified chaotic system via adaptive control
  Shihua Chen and Jinhu Lü
  1 Sep 2002 | Chaos, Solitons & Fractals, Vol. 14, No. 4
- The compound structure of a new chaotic attractor
  Jinhu Lü, Guanrong Chen and Suochun Zhang
  1 Sep 2002 | Chaos, Solitons & Fractals, Vol. 14, No. 5
- Asymptotic Analysis of a Modified Lorenz System
  L Jin-Hu, Chen Guan-Rong and Yu Yong-Guang
  22 August 2002 | Chinese Physics Letters, Vol. 19, No. 9
- ON A GENERALIZED LORENZ CANONICAL FORM OF CHAOTIC SYSTEMS
  SERGEJ ČELIKOVSKÝ and
  GUANRONG CHEN
  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 12, No. 08
- Modification for synchronization of Rossler and Chen chaotic systems
  Zhi Li, Chongzhao Han and Songjiao Shi
  1 Aug 2002 | Physics Letters A, Vol. 301, No. 3-4
- Synchronization stability of three chaotic systems with linear coupling
  Tianshou Zhou, Jinhu Lü, Guanrong Chen and Yun Tang
  1 Aug 2002 | Physics Letters A, Vol. 301, No. 3-4
- EXPERIMENTAL VERIFICATION OF THE BUTTERFLY ATTRACTOR IN A MODIFIED LORENZ SYSTEM
  S. ÖZOǦUZ,
  A. S. ELWAKIL, and
  M. P. KENNEDY
  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 12, No. 07
- CONTROLLING IN BETWEEN THE LORENZ AND THE CHEN SYSTEMS
  JINHU LÜ,
  GUANRONG CHEN, and
  SUOCHUN ZHANG
  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 12, No. 06
- CIRCUITRY IMPLEMENTATION AND SYNCHRONIZATION OF CHEN'S ATTRACTOR
  G. Q. ZHONG and
  WALLACE K. S. TANG
  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 12, No. 06
- DYNAMICAL ANALYSIS OF A NEW CHAOTIC ATTRACTOR
  JINHU LÜ,
  GUANRONG CHEN, and
  SUOCHUN ZHANG
  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 12, No. 05
- ON IMPULSIVE CONTROL AND ITS APPLICATION TO CHEN'S CHAOTIC SYSTEM
  ZHI-HONG GUAN,
  RUI-QUAN LIAO,
  FENG ZHOU, and
  HUA O. WANG
  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 12, No. 05
- Parameter Identification and Tracking of a Unified System
  Lu Jun-An, Tao Chao-Hai, L$uuml$ Jin-Hu and Liu Min
  18 April 2002 | Chinese Physics Letters, Vol. 19, No. 5
- THE COMPOUND STRUCTURE OF CHEN'S ATTRACTOR
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  TIANSHOU ZHOU,
  GUANRONG CHEN, and
  SUOCHUN ZHANG
  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 12, No. 04
- Creation of a complex butterfly attractor using a novel Lorenz-Type system
  A.S. Elwakil, S. Ozoguz and M.P. Kennedy
  1 Apr 2002 | IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, Vol. 49, No. 4
- A NEW CHAOTIC ATTRACTOR COINED
  JINHU LÜ and
  GUANRONG CHEN
  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 12, No. 03
- ASYMPTOTIC ANALYSIS OF A NEW PIECEWISE-LINEAR CHAOTIC SYSTEM
  M. A. AZIZ-ALAOUI and
  GUANRONG CHEN
  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 12, No. 01
- Synchronization of a class of chaotic systems via a nonlinear observer approach
  S. Celikovsky and Guanrong Chen
  1 Jan 2002
- FUZZY ROBUST TRACKING FOR THE CHEN'S CHAOTIC ATTRACTOR
  B. Castillo-Toledo, J. Jalomo and E.N. Sánchez
  1 Jan 2002 | IFAC Proceedings Volumes, Vol. 35, No. 1
- HYPERBOLIC-TYPE GENERALIZED LORENZ CHAOTIC SYSTEM AND ITS CANONICAL FORM
  Sergej Čelikovský and Guanrong Chen
  1 Jan 2002 | IFAC Proceedings Volumes, Vol. 35, No. 1
- Blowout bifurcation and stability of marginal synchronization of chaos
  A. Krawiecki and S. Matyjaśkiewicz
  28 August 2001 | Physical Review E, Vol. 64, No. 3
- Controlling Chen's chaotic attractor using backstepping design based on parameters identification
  Jinhu Lü and Suochun Zhang
  1 Jul 2001 | Physics Letters A, Vol. 286, No. 2-3
- STATE-SPACE SELF-TUNING CONTROL FOR NONLINEAR STOCHASTIC AND CHAOTIC HYBRID SYSTEMS
  SHU-MEI GUO,
  LEANG-SAN SHIEH,
  CHING-FANG LIN, and
  JAGDISH CHANDRA
  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 11, No. 04
- USING DYNAMIC NEURAL NETWORKS TO GENERATE CHAOS: AN INVERSE OPTIMAL CONTROL APPROACH
  EDGAR N. SANCHEZ,
  JOSE P. PEREZ, and
  GUANRONG CHEN
  20 November 2011 | International Journal of Bifurcation and Chaos, Vol. 11, No. 03
- Synchronization of Rossler and Chen chaotic dynamical systems using active control
  H.N. Agiza and M.T. Yassen
  1 Jan 2001 | Physics Letters A, Vol. 278, No. 4
- Chaos reproduction by dynamic neural networks: an inverse optimal control approach
  E.N. Sanchez, J.P. Perez and G. Chen
  1 Jan 2001
- BIFURCATION ANALYSIS OF CHEN'S EQUATION
  TETSUSHI UETA and
  GUANRONG CHEN
  2 May 2012 | International Journal of Bifurcation and Chaos, Vol. 10, No. 08
- DETECTING UNSTABLE PERIODIC ORBITS IN CHEN'S CHAOTIC ATTRACTOR
  XINGHUO YU and
  YANG XIA
  2 May 2012 | International Journal of Bifurcation and Chaos, Vol. 10, No. 08
- Effective chaotic orbit tracker: a prediction-based digital redesign approach
  Shu-Mei Guo, Leang San Shieh, Guanrong Chen and Ching-Fang Lin
  1 Jan 2000 | IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, Vol. 47, No. 11
- Output feedback control of Chen's chaotic attractor using fuzzy logic
  Wook Chang, Jin Bae Park and Young Hoon Joo
  1 Jan 2000
- Bifurcation and chaos of Chen's equation
  T. Ueta and Guanrong Chen
  1 Jan 2000
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Received 30 March 1999

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