Collective chaos and period-doubling bifurcation in globally coupled phase oscillators
Collective chaos and period-doubling bifurcation in globally coupled phase oscillators
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全局耦合相位振荡器中的集体混沌和倍周期分岔
DOI：
10.1007/s11071-017-3585-z
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发表时间：
2017-08-01
影响因子：
5.6
通讯作者：
Yang, Junzhong
中科院分区：
文献类型：
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作者：
Cheng, Hongyan;Guo, Shuangjian;Yang, Junzhong
在全局耦合映象和振子中，集体混沌已经得到了广泛的研究，其中单个单元能够产生混沌。本文研究了全局耦合相位振子中的集体混沌。我们考虑一个具有三峰自然频率分布的模型。我们发现，增加耦合强度导致一系列的分歧，如霍普夫分歧，鞍结分歧，倍周期分歧。我们观察到集体混沌部分同步态，它是由准周期部分同步态通过一系列倍周期分岔发展而来的。我们还探讨了模型参数对产生集体混沌的条件的影响。
Collective chaos has been intensively investigated in globally coupled map and oscillators in which the single unit is capable of producing chaos. In this work, we study collective chaos in globally coupled phase oscillators. We consider a model with a trimodal natural frequency distribution. We find that increasing coupling strength leads to series of bifurcations such as Hopf bifurcation, saddle–node bifurcation, and period-doubling bifurcation. We observe the collective chaotic partial synchronous state, which is developed from quasiperiodic partial synchronous ones through a cascade of period-doubling bifurcations. We also explore the impacts of model parameters on the conditions producing collective chaos.