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Modified function projective synchronization of financial hyperchaotic systems via adaptive impulsive controller with unknown parameters. (English) Zbl 1418.34124

Summary: Modified function projective synchronization via adaptive impulsive controller between two different financial hyperchaotic systems is investigated, where the external uncertainties are considered. The updated laws of the unknown parameters are given and the sufficient conditions are deduced based on Lyapunov stability theorem and the stability analysis of impulsive system. Finally, the two financial hyperchaotic systems are taken for example and the numerical examples are worked through for illustrating the main results.

MSC:

34H10 Chaos control for problems involving ordinary differential equations
34D06 Synchronization of solutions to ordinary differential equations
34A37 Ordinary differential equations with impulses
93C40 Adaptive control/observation systems
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