trakya univ j sci Trakya Üniversitesi Fen Bilimleri Dergisi 1305-6468 Trakya Üniversitesi Structural Biology Yapısal Biyoloji CHAOTIC SYNCHRONIZATION METHODS BASED ON STABILITY ANALYSIS OF LINEAR SYSTEMS CHAOTIC SYNCHRONIZATION METHODS BASED ON STABILITY ANALYSIS OF LINEAR SYSTEMS Chantov Dragomir 08 05 2016 10 2 165 171 08 05 2016 Copyright © 2000, Trakya Üniversitesi Fen Bilimleri Dergisi 2000 Trakya Üniversitesi Fen Bilimleri Dergisi

In this paper three methods for chaotic synchronization, based on the known linear-nonlinear decomposition method, are proposed. The main advantage of this kind of decomposition is that the stability analysis of the synchronization scheme can be done by a linear error system, so there is no need to calculate the conditional Lyapunov exponents or to design Lyapunov functions. The new aspect of the proposed approaches is, that in contrast to the standard linear-nonlinear decomposition method, strict rules to design the system couplings with many different combinations of additional decomposition of the linear part of the system or with additional feedback coupling are defined

In this paper three methods for chaotic synchronization, based on the known linear-nonlinear decomposition method, are proposed. The main advantage of this kind of decomposition is that the stability analysis of the synchronization scheme can be done by a linear error system, so there is no need to calculate the conditional Lyapunov exponents or to design Lyapunov functions. The new aspect of the proposed approaches is, that in contrast to the standard linear-nonlinear decomposition method, strict rules to design the system couplings with many different combinations of additional decomposition of the linear part of the system or with additional feedback coupling are defined

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