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Full state hybrid projective synchronization in continuous-time chaotic (hyperchaotic) systems

✍ Scribed by Manfeng Hu; Zhenyuan Xu; Rong Zhang

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 587 KB
Volume: 13
Category: Article
ISSN: 1007-5704
DOI: 10.1016/j.cnsns.2006.05.003

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✦ Synopsis

Chaos synchronization, as an important topic, has become an active research subject in nonlinear science. Over the past two decades, chaos synchronization between nonlinear systems has been extensively studied, and many types of synchronization have been announced. This paper introduces another novel type of chaos synchronization -full state hybrid projective synchronization (FSHPS), which includes complete synchronization, anti-synchronization and projective synchronization as its special item. Based on the Lyapunov's direct method, the general FSHPS scheme is given and illustrated with Lorenz chaotic system and hyperchaotic Chen system as examples. Numerical simulations are used to verify the effectiveness of the proposed scheme.

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Full state hybrid projective synchronization of a general class of chaotic maps

✍ Manfeng Hu; Zhenyuan Xu; Rong Zhang 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 1004 KB

A systematic and concrete scheme is proposed to study the full state hybrid projective synchronization (FSHPS) of a general class of chaotic maps based on the active control idea. The scheme is accessible to the FSHPS of two identical or different chaotic maps. The 3D generalized He ´non map and 3D