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Similar Master Stability Functions for Different Coupling Schemes in Basic Chaotic Systems

Zahra Dayani

Department of Biomedical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Iran

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Fatemeh Parastesh

Department of Biomedical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Iran

Centre for Nonlinear Systems, Chennai Institute of Technology, Chennai, India

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Sajad Jafari

Department of Biomedical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Iran

Health Technology Research Institute, Amirkabir University of Technology (Tehran Polytechnic), Iran

E-mail Address: [email protected]

Corresponding author.

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Eckehard Schöll

Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstrasse 36, 10623 Berlin, Germany

Bernstein Center for Computational Neuroscience Berlin, Humboldt-Universität, 10115 Berlin, Germany

Potsdam Institute for Climate Impact Research, Telegrafenberg A 31, 14473 Potsdam, Germany

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Jürgen Kurths

Potsdam Institute for Climate Impact Research, Telegrafenberg A 31, 14473 Potsdam, Germany

Department of Physics, Humboldt University Berlin, Berlin 12489, Germany

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, and

Julien Clinton Sprott

Department of Physics, University of Wisconsin–Madison, Madison, WI 53706, USA

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https://doi.org/10.1142/S0218127423501225Cited by:2 (Source: Crossref)

Abstract

Synchronization is a prominent phenomenon in coupled chaotic systems. The master stability function (MSF) is an approach that offers the prerequisites for the stability of complete synchronization, which is dependent on the coupling configuration. In this paper, some basic chaotic systems with the general form of the Sprott-A, Sprott-B, Sprott-D, Sprott-F, Sprott-G, Sprott-O, and Jerk systems are considered. For each system, their parametric form is designed, and constraints required to have similar MSFs in different coupling schemes are determined. Then, the parameters of the designed chaotic systems are found through an exhaustive computer search seeking chaotic solutions. The simplest cases found in this way are introduced, and similar synchronization patterns are confirmed numerically.

Keywords:

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