A new scheme of general hybrid projective complete dislocated synchronization

作者:Chu Yan dong; Chang Ying Xiang; An Xin lei; Yu Jian Ning; Zhang Jian Gang*
来源:Communications in Nonlinear Science & Numerical Simulation, 2011, 16(3): 1509-1516.
DOI:10.1016/j.cnsns.2010.06.007

摘要

Based on the Lyapunov stability theorem, a new type of chaos synchronization, general hybrid projective complete dislocated synchronization (GHPCDS), is proposed under the framework of drive-response systems. The difference between the GHPCDS and complete synchronization is that every state variable of drive system does not equal the corresponding state variable, but equal other ones of response system while evolving in time. The GHPCDS includes complete dislocated synchronization, dislocated anti-synchronization and projective dislocated synchronization as its special item. As examples, the Lorenz chaotic system, Rossler chaotic system, hyperchaotic Chen system and hyperchaotic Lu system are discussed. Numerical simulations are given to show the effectiveness of these methods.

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