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Synchronization of second-order kuramoto networks from the perspective of edge dynamics

Control Theory and Technology 2023年第4期21卷 580-590页

作者： Liang Wu Jiuming Zhong Haoyong Chen School of Physics and Electronic Engineering Hainan Normal UniversityHaikou571158HainanChina School of Electric Power South China University of TechnologyGuangzhou510640GuangdongChina

This paper presents new synchronization conditions for second-order phase-coupled kuramoto oscillators in terms of edge *** types of network-underlying graphs are studied,the positively weighted and signed graphs,*** apply an edge Laplacian matrix for a positively weighted network to represent the edge *** properties of the edge Laplacian matrix are analyzed and incorporated into the proposed *** conditions take account of the dynamics of edge-connected oscillators instead of all oscillator pairs in conventional *** a network with positive and negative weights,we represent the network by its spanning tree dynamics,and derive conditions to evaluate the synchronization state of this *** conditions show that if all edge weights in the spanning tree are positive,and the tree-induced dynamics are in a dominant position over the negative edge dynamics,then this network achieves *** theoretical findings are validated by numerical examples.

关键词： kuramoto oscillator Signed graph Synchronization Edge Laplacian matrix Spanning tree

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Explosive synchronization:From synthetic to real-world networks

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Chinese Physics B 2022年第2期31卷 89-108页

作者： Atiyeh Bayani Sajad Jafari Hamed Azarnoush Department of Biomedical Engineering Amirkabir University of TechnologyNo.350Hafez Ave.Valiasr SquareTehran 159163-4311Iran Health Technology Research Institute Amirkabir University of TechnologyNo.350Hafez Ave.Valiasr SquareTehran 159163-4311Iran

Synchronization is a widespread phenomenon in both synthetic and real-world *** collective behavior of simple and complex systems has been attracting much research during the last *** different routes to synchrony are defined in networks;first-order,characterized as explosive,and second-order,characterized as continuous *** pioneer researches explained that the transition type is a generic feature in the networks,recent studies proposed some frameworks in which different phase and even chaotic oscillators exhibit explosive *** relationship between the structural properties of the network and the dynamical features of the oscillators is mainly proclaimed because some of these frameworks show abrupt *** different theoretical analyses about the appearance of the firstorder transition,studies are limited to the mean-field theory,which cannot be generalized to all *** are different real-world and man-made networks whose properties can be characterized in terms of explosive synchronization,e.g.,the transition from unconsciousness to wakefulness in the brain and spontaneous synchronization of power-grid *** this review article,explosive synchronization is discussed from two main ***,pioneer articles are categorized from the dynamical-structural framework point of ***,articles that considered different oscillators in the explosive synchronization frameworks are *** this article,the main focus is on the explosive synchronization in networks with chaotic and neuronal ***,efforts have been made to consider the recent articles which proposed new frameworks of explosive synchronization.

关键词： synchronization explosive synchronization kuramoto oscillator chaotic systems neuronal networks complex network

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