Synchronization of hyperchaotic systems with delayed bidirectional coupling.
Synchronization of hyperchaotic systems with delayed bidirectional coupling.
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DOI：
10.1103/physreve.68.066218
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发表时间：
2003-12
期刊：
影响因子：
--
通讯作者：
N. Buric;D. Todorović
中科院分区：
文献类型：
--
作者：
N. Buric;D. Todorović
以Ikeda模型为超混沌单元，研究了三个双向耦合超混沌系统的同步问题。整个系统由具有两个不同时滞的三个时滞微分方程给出。解析地找到了精确同步流形全局稳定的充分条件。通过横向Lyapunov指数的数值计算和轨道的统计特性研究了同步流形的局部稳定性。
Synchronization of three bidirectionally coupled hyperchaotic systems is studied, using the Ikeda model as the hyperchaotic unit. The whole system is given by three delay-differential equations with two distinct time lags. Sufficient condition for the global stability of the manifold of exact synchronization is found analytically. Local stability of the synchronization manifold is studied by numerical computation of the transverse Lyapunov exponent and statistical properties of the orbits.