Normal form and synchronization of strict-feedback chaotic systems. (English) Zbl 1129.93516

Wang, Feng; Chen, Shihua; Yu, Minghai; Wang, Changping

Chaos Solitons Fractals 22, No. 4, 927-933 (2004).

Summary: This study concerns the normal form and synchronization of strict-feedback chaotic systems. We prove that, any strict-feedback chaotic system can be rendered into a normal form with a invertible transform and then a design procedure to synchronize the normal form of a non-autonomous strict-feedback chaotic system is presented. This approach needs only a scalar driving signal to realize synchronization no matter how many dimensions the chaotic system contains. Furthermore, the Rössler chaotic system is taken as a concrete example to illustrate the procedure of designing without transforming a strict-feedback chaotic system into its normal form. Numerical simulations are also provided to show the effectiveness and feasibility of the developed methods.

© Elsevier Ltd

MSC:

93D15	Stabilization of systems by feedback
37D45	Strange attractors, chaotic dynamics of systems with hyperbolic behavior

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