时滞耦合混沌振子在稳定边缘的反常同步路径
Abnormal Synchronizing Path of Delay-coupled Chaotic Oscillators on the Edge of Stability
摘要：
研究了无标度网络中时滞耦合混沌振子同步路径的转变。主要是通过临界传输延迟使混沌振子在稳定的边缘耦合，发现同步路径的跃迁是\emph{abnormal}，其特征在于：（a）同步过程从低度而不是高度节点开始，（b）高度节点不承担枢纽的角色，（c）高度节点不承担枢纽的角色，（d）高度节点不承担枢纽的角色，（e）高度节点不承担枢纽的角色，（f）高度节点不承担枢纽的角色。（3）在无标度网络中，由于枢纽节点的缺失，同步子网络的小世界特性较差;（4）在无标度网络中，即使社区结构缺失，也会出现聚类同步行为。这种异常的同步路径表明，不同的同步行为发生在同一个拓扑结构中，这意味着网络结构与动力学之间的关系远比结构是动力学基础的常识复杂得多。此外，它还揭示了从同步行为的过渡到实际复杂网络中的无序，如阿尔茨海默病的潜在联系。
英文摘要：
In this paper, the transition of synchronizing path of delay-coupled chaotic oscillators in a scale-free network is highlighted. Mainly, through the critical transmission delay makes chaotic oscillators be coupled on the edge of stability, we find that the transition of synchronizing path is \emph{abnormal}, which is characterized by the following evidences: (a) synchronization process starts with low-degree rather than high-degree ones; (b) the high-degree nodes don't undertake the role of hub; (c) the synchronized subnetworks show a poor small-world property as a result of hubs absence; (d) the clustering synchronization behavior emerges even community structure is absent in the scale-free network. This abnormal synchronizing path suggests that the diverse synchronization behaviors occur in the same topology, which implies that the relationship between dynamics and structure of network is much more complicated than the common sense that the structure is the foundation of dynamics. Moreover, it also reveals the potential connection from the transition of synchronization behavior to disorder in real complex networks, e.g. Alzheimer disease.
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