Chaos generalized synchronization of new Mathieu-Van der pol systems with new Duffing-Van der Pol systems as functional system by GYC partial region stability theory. (English) Zbl 1228.93097

Summary: A new strategy by using GYC partial region stability theory is proposed to achieve generalized chaos synchronization. via using the GYC partial region stability theory, the new Lyapunov function used is a simple linear homogeneous function of states and the lower order controllers are much more simple and introduce less simulation error. Numerical simulations are given for new Mathieu-Van der Pol system and new Duffing-Van der Pol system to show the effectiveness of this strategy.


93D15 Stabilization of systems by feedback
34H10 Chaos control for problems involving ordinary differential equations
34D06 Synchronization of solutions to ordinary differential equations
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