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Local transversal Lyapunov exponents for analysis of synchronization of chaotic systems. (English) Zbl 0983.37039

The problem of synchronization of coupled chaotic systems is considered. Synchronization is studied by means of local transversal Lyapunov exponents. Using example of coupled Hénon maps and coupled hyperchaotic electronic systems, the developed criterion for synchronization is compared with other methods for an investigation of synchronization properties of unidirectionally coupled chaotic systems.

MSC:

37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations
37M10 Time series analysis of dynamical systems
34D08 Characteristic and Lyapunov exponents of ordinary differential equations
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