Abstract

The synchronization properties of a distance dependent coupling induced network of logistic maps have been investigated. Synchronized periodic orbits, synchronized chaos, cluster, etc. emerge as a result of inhomogeneity in coupling. Of course, coupling constant and coupling function have huge impact on generating different dynamical behavior. The condition for the existence of synchronized fixed point orbit is simulated. It has also been found that the state variable exists even in a range of the parameter for which the local map diverges. In this context, the condition for the divergence of the network has been determined analytically. These results are in good agreement with the numerical findings.

Graphical abstract

中文翻译：

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非均匀耦合对网络同步的影响

摘要

已经研究了距离依赖耦合的逻辑映射网络的同步特性。由于耦合不均匀，出现了同步周期轨道，同步混沌，簇等。当然，耦合常数和耦合函数对产生不同的动力学行为具有巨大的影响。模拟了同步定点轨道的存在条件。还已经发现状态变量甚至存在于局部图偏离的参数范围内。在这种情况下，已经分析地确定了网络发散的条件。这些结果与数值结果非常吻合。

图形概要