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The Nonlinear Workbook cover

New Edition: The Nonlinear Workbook (6th Edition)

The Nonlinear Workbook provides a comprehensive treatment of all the techniques in nonlinear dynamics together with C++, Java and SymbolicC++ implementations. The book not only covers the theoretical aspects of the topics but also provides the practical tools. To understand the material, more than 100 worked out examples and 150 ready to run programs are included. New topics added to the fifth edition are Langton's ant, chaotic data communication, self-controlling feedback, differential forms and optimization, T-norms and T-conorms with applications.

Sample Chapter(s)
Chapter 1: Nonlinear and Chaotic Maps (629 KB)
Chapter 3: Autonomous Systems in the Plane (118 KB)
Chapter 7: Controlling of Chaos (139 KB)

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Contents:
  • Nonlinear and Chaotic Maps
  • Time Series Analysis
  • Autonomous Systems in the Plane
  • Nonlinear Hamilton Systems
  • Nonlinear Dissipative Systems
  • Nonlinear Driven Systems
  • Controlling of Chaos
  • Synchronization of Chaos
  • Fractals
  • Cellular Automata
  • Solving Differential Equations
  • Optimization
  • Neural Networks
  • Genetic Algorithms
  • Gene Expression Programming
  • Wavelets
  • Discrete Hidden Markov Processes
  • Fuzzy Sets and Fuzzy Logic

Readership: Students and researchers in mathematics, physics and computer science.

Free Access
FRONT MATTER
  • Pages:i–xix

https://doi.org/10.1142/9789814335799_fmatter

No Access
Nonlinear and Chaotic Maps
  • Pages:1–88

https://doi.org/10.1142/9789814335799_0001

No Access
Time Series Analysis
  • Pages:89–114

https://doi.org/10.1142/9789814335799_0002

No Access
Autonomous Systems in the Plane
  • Pages:115–126

https://doi.org/10.1142/9789814335799_0003

No Access
Nonlinear Hamilton Systems
  • Pages:127–146

https://doi.org/10.1142/9789814335799_0004

No Access
Nonlinear Dissipative Systems
  • Pages:147–170

https://doi.org/10.1142/9789814335799_0005

No Access
Nonlinear Driven Systems
  • Pages:171–198

https://doi.org/10.1142/9789814335799_0006

No Access
Controlling of Chaos
  • Pages:199–212

https://doi.org/10.1142/9789814335799_0007

No Access
Synchronization of Chaos
  • Pages:213–226

https://doi.org/10.1142/9789814335799_0008

No Access
Fractals
  • Pages:227–256

https://doi.org/10.1142/9789814335799_0009

No Access
Cellular Automata
  • Pages:257–274

https://doi.org/10.1142/9789814335799_0010

No Access
Solving Differential Equations
  • Pages:275–296

https://doi.org/10.1142/9789814335799_0011

No Access
Optimization
  • Pages:297–322

https://doi.org/10.1142/9789814335799_0012

No Access
Neural Networks
  • Pages:323–394

https://doi.org/10.1142/9789814335799_0013

No Access
Genetic Algorithms
  • Pages:395–452

https://doi.org/10.1142/9789814335799_0014

No Access
Gene Expression Programming
  • Pages:453–478

https://doi.org/10.1142/9789814335799_0015

No Access
Wavelets
  • Pages:479–496

https://doi.org/10.1142/9789814335799_0016

No Access
Discrete Hidden Markov Processes
  • Pages:497–524

https://doi.org/10.1142/9789814335799_0017

No Access
Fuzzy Sets and Fuzzy Logic
  • Pages:525–602

https://doi.org/10.1142/9789814335799_0018

Free Access
BACK MATTER
  • Pages:603–621

https://doi.org/10.1142/9789814335799_bmatter

"This handbook provides a large selection of topics related to iteration of nonlinear maps, from a practical and computational point of view. The great diversity of topics is supported by more than 100 worked examples and 150 programs."

Zentralblatt MATH