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Chen, Jie; Sun, Junwei; Chi, Ming; Cheng, Xin-Ming

A novel scheme adaptive hybrid dislocated synchronization for two identical and different memristor chaotic oscillator systems with uncertain parameters. (English) Zbl 1474.34421

Abstr. Appl. Anal. 2014, Article ID 675840, 10 p. (2014).
Summary: The drive system can synchronize with the response system by the scaling factor in the traditional projective synchronization. This paper proposes a novel adaptive hybrid dislocated synchronization with uncertain parameters scheme for chaos synchronization using the Lyapunov stability theory. The drive system is synchronized by the sum of hybrid dislocated state variables for the response system. By designing effective hybrid dislocated adaptive controller and hybrid dislocated adaptive law of the parameters estimation, we investigate the synchronization of two identical memristor chaotic oscillator systems and two different memristor chaotic oscillator systems with uncertain parameters. Finally, the numerical simulation examples are provided to show the effectiveness of our method.

Cited in 2 Documents

MSC:

34H10 Chaos control for problems involving ordinary differential equations
34D06 Synchronization of solutions to ordinary differential equations
37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
93C40 Adaptive control/observation systems
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\textit{J. Chen} et al., Abstr. Appl. Anal. 2014, Article ID 675840, 10 p. (2014; Zbl 1474.34421)
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References:

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