Disconnected synchronized regions of complex dynamical networks

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dc.creatorDuan, Zhisheng
dc.creatorChen, Guanrong
dc.creatorHuang, Lin
dc.date2007-06-20
dc.date.accessioned2026-07-07T08:11:16Z
dc.date.available2026-07-07T08:11:16Z
dc.descriptionThis 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.
dc.description13 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0706.2899
dc.identifierhttp://arxiv.org/abs/0706.2899
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132070
dc.subjectCombinatorics
dc.titleDisconnected synchronized regions of complex dynamical networks
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