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Chaos synchronization of Lü dynamical system - MaRDI portal

Chaos synchronization of Lü dynamical system (Q1877857)

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scientific article; zbMATH DE number 2092990
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English
Chaos synchronization of Lü dynamical system
scientific article; zbMATH DE number 2092990

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    Chaos synchronization of Lü dynamical system (English)
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    19 August 2004
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    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.
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    Lü system
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    synchronization
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    chaos
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    driving
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