混沌吸引子在两个周期振子耦合下的相同步

在分析了系统稳定的基础上，对非线性混沌吸引子在两个独立外周期振子耦合下的相同步进 行了研究.与一个周期振子耦合的情况不同，两个周期振子对混沌吸引子的耦合具有排他性 和竞争性，相同步在两个亚稳态交替出现，各自同步时间长度由外振子参数决定.确定了周 期外振子参数与同步时间长度的关系并与数值模拟计算结果进行了比较. 关键词： 混沌吸引子 相同步

Phase synchronization of R?ssler in two coupled harmonic oscillators

Phase synchronization dynamics of Rssler oscillator in two coupled harmonic oscillators is discussed based on stability analysis of the coupled chaotic system. Different from the case of only one coupled periodic oscillator, in two o scillators one or the other harmonic oscillator will entrain alternately (or th ey will entrain exclusively). We find that depending on the stability of the system, the duration of the phase synchronization is affected by parameters of t he oscillator. The simulated results agree with our theoretic values within the range of error.