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Chaos anti-synchronization of two non-identical chaotic systems with known or fully unknown parameters. (English) Zbl 1198.93006

Summary: This work is devoted to investigating the anti-synchronization between two novel different chaotic systems. Two different anti-synchronization methods are proposed. Active control is applied when system parameters are known and adaptive control is employed when system parameters are uncertain or unknown. Controllers and update laws of parameters are designed based on Lyapunov stability theory. In both cases, sufficient conditions for the anti-synchronization are obtained analytically. Finally, a numerical simulations is presented to show the effectiveness of the proposed chaos anti-synchronization schemes.
Editorial remark: There are doubts about a proper peer-reviewing procedure of this journal. The editor-in-chief has retired, but, according to a statement of the publisher, articles accepted under his guidance are published without additional control.

MSC:

93-04 Software, source code, etc. for problems pertaining to systems and control theory
93D15 Stabilization of systems by feedback
34H10 Chaos control for problems involving ordinary differential equations
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