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Chaos synchronization of Lü dynamical system. (English) Zbl 1057.34042
The author considers the Lü system: $\dot x = a(y-x)$, $\dot y = -xz+cy$, $\dot z = xy - bz$, where $a$, $b$, and $c$ are positive parameters. Sufficient conditions are given for the synchronization of two such systems. Different coupling configurations are considered: master-slave configuration $\dot u_1 = f(u_1)$, $\dot u_2 = f(u_2) +k(u_1-u_2)$, direct substitution, and adaptive control.

34D05Asymptotic stability of ODE
34C28Complex behavior, chaotic systems (ODE)
Full Text: DOI
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