Dynamics of the Kuramoto Model with Bimodal Frequency Distribution on Complex Networks

We introduce a piecewise uniform frequency distribution to model a symmetrical bimodal natural frequency distribution and investigate the dynamics in the Kuramoto model on complex networks. We find that the scenario of the synchronization transition depends on the network topology. For an ER network...

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Published inChinese physics letters Vol. 31; no. 8; pp. 12 - 15
Main Author 冯月娥 李海红 杨俊忠
Format Journal Article
LanguageEnglish
Published 01.08.2014
Subjects
Coupling
Dynamic tests
Dynamics
Frequency distribution
Networks
Resonant frequency
Standing waves
Synchronous
分布动态
双峰
同步化
复杂网络
拓扑结构
状态
耦合强度
频率分布模型
Online AccessGet full text
ISSN0256-307X
1741-3540
DOI10.1088/0256-307X/31/8/080503

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Abstract We introduce a piecewise uniform frequency distribution to model a symmetrical bimodal natural frequency distribution and investigate the dynamics in the Kuramoto model on complex networks. We find that the scenario of the synchronization transition depends on the network topology. For an ER network, the incoherent state, standing wave states and stationary synchronous states are encountered successively with the increase of the coupling strength. However, for an SF network, there exists another type of synchronous states, traveling wave states, between the standing wave states and the stationary synchronous states.
AbstractList We introduce a piecewise uniform frequency distribution to model a symmetrical bimodal natural frequency distribution and investigate the dynamics in the Kuramoto model on complex networks. We find that the scenario of the synchronization transition depends on the network topology. For an ER network, the incoherent state, standing wave states and stationary synchronous states are encountered successively with the increase of the coupling strength. However, for an SF network, there exists another type of synchronous states, traveling wave states, between the standing wave states and the stationary synchronous states.
Author 冯月娥 李海红 杨俊忠
AuthorAffiliation SchoolofScience,BeijingUniversityofPostsandTelecommunications,Beijing100876
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Cites_doi 10.1103/PhysRevLett.98.034101
10.1137/110850116
10.1088/0256-307X/28/12/120503
10.1088/0256-307X/28/11/110501
10.1109/TAC.2005.849233
10.1103/PhysRevE.61.6987
10.1103/PhysRevE.79.026204
10.1007/978-3-642-69689-3
10.1103/PhysRevE.73.056124
10.1007/978-3-662-22492-2
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10.1103/PhysRevE.75.021110
10.1103/PhysRevLett.96.114102
10.1016/S0167-2789(00)00094-4
10.1103/RevModPhys.77.137
10.1209/epl/i2004-10238-x
10.1063/1.2150381
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Notes 11-1959/O4
We introduce a piecewise uniform frequency distribution to model a symmetrical bimodal natural frequency distribution and investigate the dynamics in the Kuramoto model on complex networks. We find that the scenario of the synchronization transition depends on the network topology. For an ER network, the incoherent state, standing wave states and stationary synchronous states are encountered successively with the increase of the coupling strength. However, for an SF network, there exists another type of synchronous states, traveling wave states, between the standing wave states and the stationary synchronous states.
FENG Yue-E, LI Hai-Hong, YANG Jun-Zhong（ School of Science, Beijing University of Posts and Telecommunications, Beijing 100876）
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SubjectTerms Coupling
Dynamic tests
Dynamics
Frequency distribution
Networks
Resonant frequency
Standing waves
Synchronous
分布动态
双峰
同步化
复杂网络
拓扑结构
状态
耦合强度
频率分布模型
Title Dynamics of the Kuramoto Model with Bimodal Frequency Distribution on Complex Networks
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