摘要
本文旨在研究连续的混沌系统是否存在"混沌+混沌=有序"的现象.证明了两个双向耦合的连续混沌系统在一些情况下可产生有序的动力学行为.作为例子,通过选取适当的耦合参数使Lorenz系统以及Chen和Lee引入的混沌系统同步,进而对同步系统的动力学行为进行了理论分析和数值模拟.结果表明,逐渐改变参数,系统实现了从混沌到有序的过渡.
The present paper aims to investigate whether similar phenomenon exists for chaotic continuous systems. We prove that the bidirectional coupling of two chaotic continuous dynamics originates an ordered dynamics in certain cases. By taking as an example the Lorenz system and the chaotic system introduced by Lee and Chen and determining the coupling parameters for synchronizing the two chaotic systems, the dynamical behaviors of the synchronized system are investigated by both theoretical analysis and numerical simulation. It has been shown that, gradually varying the parameter, the system undergoes the transitions from chaos to order.
出处
《应用数学与计算数学学报》
2008年第2期35-40,共6页
Communication on Applied Mathematics and Computation
关键词
同步
混沌
有序
synchronization, chaos, dynamics
