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Landau damping effects in the synchronization of conformist and contrarian oscillators
Qiu, T; Zhang, Y; Liu, J; Bi, HJ; Boccaletti, S; Liu, ZH; Guan, SG; Boccaletti, S (reprint author), CNR, Inst Complex Syst, Via Madonna del Piano 10, I-50019 Florence, Italy.
2015
发表期刊SCIENTIFIC REPORTS
卷号5期号:0页码:18235
文章类型Article
摘要Two decades ago, a phenomenon resembling Landau damping was described in the synchronization of globally coupled oscillators: the evidence of a regime where the order parameter decays when linear theory predicts neutral stability for the incoherent state. We here show that such an effect is far more generic, as soon as phase oscillators couple to their mean field according to their natural frequencies, being then grouped into two distinct populations of conformists and contrarians. We report the analytical solution of this latter situation, which allows determining the critical coupling strength and the stability of the incoherent state, together with extensive numerical simulations that fully support all theoretical predictions. The relevance of our results is discussed in relationship to collective phenomena occurring in social and economical systems.
学科领域Science & Technology - Other Topics
资助者National Natural Science Foundation of China [11375066, 11135001] ; National Natural Science Foundation of China [11375066, 11135001] ; National Natural Science Foundation of China [11375066, 11135001] ; National Natural Science Foundation of China [11375066, 11135001] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF151CJ1] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF151CJ1] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF151CJ1] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF151CJ1] ; National Natural Science Foundation of China [11375066, 11135001] ; National Natural Science Foundation of China [11375066, 11135001] ; National Natural Science Foundation of China [11375066, 11135001] ; National Natural Science Foundation of China [11375066, 11135001] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF151CJ1] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF151CJ1] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF151CJ1] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF151CJ1]
DOIhttp://dx.doi.org/10.1038/srep18235
关键词[WOS]COUPLED OSCILLATORS ; KURAMOTO MODEL ; NETWORKS ; STABILITY
收录类别SCI
语种英语
资助者National Natural Science Foundation of China [11375066, 11135001] ; National Natural Science Foundation of China [11375066, 11135001] ; National Natural Science Foundation of China [11375066, 11135001] ; National Natural Science Foundation of China [11375066, 11135001] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF151CJ1] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF151CJ1] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF151CJ1] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF151CJ1] ; National Natural Science Foundation of China [11375066, 11135001] ; National Natural Science Foundation of China [11375066, 11135001] ; National Natural Science Foundation of China [11375066, 11135001] ; National Natural Science Foundation of China [11375066, 11135001] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF151CJ1] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF151CJ1] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF151CJ1] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF151CJ1]
WOS类目Multidisciplinary Sciences
引用统计
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/20752
专题理论物理所SCI论文
通讯作者Boccaletti, S (reprint author), CNR, Inst Complex Syst, Via Madonna del Piano 10, I-50019 Florence, Italy.
推荐引用方式
GB/T 7714
Qiu, T,Zhang, Y,Liu, J,et al. Landau damping effects in the synchronization of conformist and contrarian oscillators[J]. SCIENTIFIC REPORTS,2015,5(0):18235.
APA Qiu, T.,Zhang, Y.,Liu, J.,Bi, HJ.,Boccaletti, S.,...&Boccaletti, S .(2015).Landau damping effects in the synchronization of conformist and contrarian oscillators.SCIENTIFIC REPORTS,5(0),18235.
MLA Qiu, T,et al."Landau damping effects in the synchronization of conformist and contrarian oscillators".SCIENTIFIC REPORTS 5.0(2015):18235.
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