Document Zbl 1406.34081

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Universal projective synchronization of two different hyperchaotic systems with unknown parameters. (English) Zbl 1406.34081

J. Appl. Math. 2014, Article ID 549201, 10 p. (2014).

Summary: Universal projective synchronization (UPS) of two chaotic systems is defined. Based on the Lyapunov stability theory, an adaptive control method is derived such that UPS of two different hyperchaotic systems with unknown parameters is realized, which is up to a scaling function matrix and three kinds of reference systems, respectively. Numerical simulations are used to verify the effectiveness of the scheme.

MSC:

34D06	Synchronization of solutions to ordinary differential equations
34C28	Complex behavior and chaotic systems of ordinary differential equations
34H05	Control problems involving ordinary differential equations
93C40	Adaptive control/observation systems

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