Diversity of dynamical behaviors due to initial conditions: Extension of the Ott-Antonsen ansatz for identical Kuramoto-Sakaguchi phase oscillators
Diversity of dynamical behaviors due to initial conditions: Extension of the Ott-Antonsen ansatz for identical Kuramoto-Sakaguchi phase oscillators
复制标题
初始条件导致动力学行为的多样性：相同 Kuramoto-Sakaguchi 相位振荡器的 Ott-Antonsen ansatz 扩展
DOI：
10.1103/physreve.101.022211
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发表时间：
2020
影响因子：
2.4
通讯作者：
Keiji Okumura
中科院分区：
文献类型：
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作者：
Akihisa Ichiki;Keiji Okumura
E-Antonsen分析是提取耦合相位振子行为的有力工具，但它对初始条件有很强的限制。在这里，提出了一个扩展的E-Antonsen模型放松的限制，使系统的近似行为的全局耦合相位振荡器系统与任意的初始条件。所提出的方法进行了验证的Kuramoto-Sakaguchi模型的同相振荡器。该方法产生的集群和嵌合体的解决方案，是不是由传统的ananterior获得。
The Ott-Antonsen ansatz is a powerful tool to extract the behaviors of coupled phase oscillators, but it imposes a strong restriction on the initial condition. Herein, an extension of the Ott-Antonsen ansatz is proposed to relax the restriction, enabling the systematic approximation of the behavior of a globally coupled phase oscillator system with an arbitrary initial condition. The proposed method is validated on the Kuramoto-Sakaguchi model of identical phase oscillators. The method yields cluster and chimera-like solutions that are not obtained by the conventional ansatz.