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Abstract: This paper addresses the synchronized region problem, which is reduced to amatrix stability problem, for complex dynamical networks. For any naturalnumber $n$, the existence of a network which has $n$ disconnected synchronizedregions is theoretically demonstrated. This shows the complexity in networksynchronization. Convexity characteristic of stability for matrix pencils isfurther discussed. Smooth and generalized smooth Chua-s circuit networks arefinally discussed as examples for illustration.



Author: Zhisheng Duan, Guanrong Chen, Lin Huang

Source: https://arxiv.org/



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