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Zbl 1228.93097
Ge, Zheng-Ming; Li, Shih-Yu
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)
[J] Appl. Math. Modelling 35, No. 11, 5245-5264 (2011). ISSN 0307-904X

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.

MSC 2000:: *93D15 Stabilization of systems by feedback
34H10
34D06

Keywords: generalized synchronization; chaos; synchronization; partial region stability theory; new Mathieu; Van der pol system; new Duffing; Van der pol system

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Zentralblatt MATH Berlin [Germany]