Masoller C, Martí A C
Instituto de Física, Facultad de Ciencias, Universidad de la República, Montevideo, Uruguay.
Phys Rev Lett. 2005 Apr 8;94(13):134102. doi: 10.1103/PhysRevLett.94.134102.
We investigate the dynamics of an array of chaotic logistic maps coupled with random delay times. We report that for adequate coupling strength the array is able to synchronize, in spite of the random delays. Specifically, we find that the synchronized state is a homogeneous steady state, where the chaotic dynamics of the individual maps is suppressed. This synchronization behavior is largely independent of the connection topology and depends mainly on the average number of links per node. We carry out a statistical linear stability analysis that confirms the numerical results and provides a better understanding of the nontrivial roles of random delayed interactions.
我们研究了耦合随机延迟时间的混沌逻辑斯谛映射阵列的动力学。我们报告称，尽管存在随机延迟，但对于足够的耦合强度，该阵列能够实现同步。具体而言，我们发现同步状态是一种均匀稳态，其中各个映射的混沌动力学受到抑制。这种同步行为在很大程度上与连接拓扑无关，主要取决于每个节点的平均链接数。我们进行了统计线性稳定性分析，证实了数值结果，并更好地理解了随机延迟相互作用的重要作用。
