广西自然科学基金（0991244）和广西科技厅科研基金（200807MS043）
研究了一类混沌系统的部分投影同步问题.对于一类三维混沌系统提出了实现部分投影同步的稳定性判据,用Lyapunov方法从理论上证明了结论.该判据不仅可用于三维系统,也可用于四维超混沌系统中两个变量的部分投影同步判别.以混沌Lorenz系统和超混沌系统为例的数值仿真结果验证了稳定性判据的正确性和有效性.
The partially projective synchronization of a class of chaotic systems was investigated.We presented a stability criterion for the partially projective synchronization in three-dimensional systems,which was proved theoretically via Lyapunov method.This criterion can be used not only in three-dimensional chaotic systems but also in four-dimensional hyper-chaotic systems for two-variables partially projective synchronization.Finally,some numerical simulations with the chaotic Lorenz system and the hyperchaotic Lü system were given to demonstrate the correctness and effectiveness of the stability criterion.
汪贺,贾贞.一类混沌系统的部分投影同步的稳定性判据[J].动力学与控制学报,2009,7(2):143~147; Wang He, Jia Zhen. Stability criterion for partially projective synchronization in a class of chaotic systems[J]. Journal of Dynamics and Control,2009,7(2):143-147.
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