中国物理B ›› 2010, Vol. 19 ›› Issue (2): 20511-020511.doi: 10.1088/1674-1056/19/2/020511
徐振源1, 过榴晓1, 胡爱花2
Hu Ai-Hua(胡爱花)a)b)†, Xu Zhen-Yuan(徐振源)a), and Guo Liu-Xiao(过榴晓)a)
摘要: 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.
中图分类号: (Synchronization; coupled oscillators)