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A new scheme of general hybrid projective complete dislocated synchronization

✍ Scribed by Yan-dong Chu; Ying-Xiang Chang; Xin-lei An; Jian-Ning Yu; Jian-Gang Zhang

Publisher: Elsevier Science
Year: 2011
Tongue: English
Weight: 499 KB
Volume: 16
Category: Article
ISSN: 1007-5704
DOI: 10.1016/j.cnsns.2010.06.007

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✦ Synopsis

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, Rössler chaotic system, hyperchaotic Chen system and hyperchaotic Lü system are discussed. Numerical simulations are given to show the effectiveness of these methods.

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