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The existence of generalized synchronisation of three bidirectionally coupled chaotic systems
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作者 胡爱花 徐振源 过榴晓 《Chinese Physics B》 SCIE EI CAS CSCD 2010年第2期164-172,共9页
The existence of two types of generalized synchronisation is studied. The model considered here includes three bidirectionally coupled chaotic systems, and two of them denote the driving systems, while the rest stands... The existence of two types of generalized synchronisation is studied. The model considered here includes three bidirectionally coupled chaotic systems, and two of them denote the driving systems, while the rest stands for the response system. Under certain conditions, the existence of generalised synchronisation can be turned to a problem of compression fixed point in the family of Lipschitz functions. In addition, theoretical proofs are proposed to the exponential attractive property of generalised synchronisation manifold. Numerical simulations validate the theory. 展开更多
关键词 generalised synchronisation manifold compression fixed point exponential attractive property
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