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On hyperchaos synchronization of a hyperchaotic Lü system. (English) Zbl 1360.34118
Summary: This work presents hyperchaos synchronization of two identical hyperchaotic Lü systems. In this study three methods are applied to achieve hyperchaos synchronization. The sufficient conditions for achieving synchronization of two identical hyperchaotic Lü systems are derived by using Lyapunov stability theory. Numerical simulations are presented to demonstrate the effectiveness of the proposed hyperchaos synchronization schemes.

MSC:
34D06 Synchronization of solutions to ordinary differential equations
34D05 Asymptotic properties of solutions to ordinary differential equations
34C28 Complex behavior and chaotic systems of ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems
34D20 Stability of solutions to ordinary differential equations
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