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Zbl 1057.34042
Agiza, H.N.
Chaos synchronization of Lü dynamical system.
(English)
[J] Nonlinear Anal., Theory Methods Appl. 58, No. 1-2, A, 11-20 (2004). ISSN 0362-546X

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.
[Sergiy Yanchuk (Berlin)]
MSC 2000:
*34D05 Asymptotic stability of ODE
34C28 Other types of "recurrent" solutions of ODE

Keywords: Lü system; synchronization; chaos; driving

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