Disconnected synchronized regions of complex dynamical networks

Duan, Zhisheng; Chen, Guanrong; Huang, Lin

Disconnected synchronized regions of complex dynamical networks

Authors

Duan, Zhisheng

Chen, Guanrong

Huang, Lin

Description

This paper addresses the synchronized region problem, which is reduced to a matrix stability problem, for complex dynamical networks. For any natural number $n$, the existence of a network which has $n$ disconnected synchronized regions is theoretically demonstrated. This shows the complexity in network synchronization. Convexity characteristic of stability for matrix pencils is further discussed. Smooth and generalized smooth Chua's circuit networks are finally discussed as examples for illustration.
13 pages, 2 figures