• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Dynamical Systems >Multi-cluster dynamics in coupled phase oscillator networks
【24h】

Multi-cluster dynamics in coupled phase oscillator networks

机译：耦合相位振荡器网络中的多集群动态

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

In this paper, we examine robust clustering behaviour with multiple nontrivial clusters for identically and globally coupled phase oscillators. These systems are such that the dynamics is completely determined by the number of oscillators N and a single scalar function g(φ) (the coupling function). Previous work has shown that (a) any clustering can stably appear via choice of a suitable coupling function and (b) open sets of coupling functions can generate heteroclinic network attractors between cluster states of saddle type, though there seem to be no examples where saddles with more than two nontrivial clusters are involved. In this work, we clarify the relationship between the coupling function and the dynamics. We focus on cases where the clusters are inequivalent in the sense of not being related by a temporal symmetry, and demonstrate that there are coupling functions that give robust heteroclinic networks between periodic states involving three or more nontrivial clusters. We consider an example for N = 6 oscillators where the clustering is into three inequivalent clusters. We also discuss some aspects of the bifurcation structure for periodic multi-cluster states and show that the transverse stability of inequivalent clusters can, to a large extent, be varied independently of the tangential stability.
机译：在本文中，我们研究了具有相同和全局耦合相位振荡器的多个非平凡簇的鲁棒聚类行为。这些系统使得动力学完全取决于振荡器的数量N和单个标量函数g（φ）（耦合函数）。先前的工作表明，（a）通过选择合适的耦合函数可以稳定地出现任何聚类，并且（b）耦合函数的开放集合可以在鞍形集群状态之间生成异质网络吸引子，尽管似乎没有鞍形的例子。涉及两个以上的平凡集群。在这项工作中，我们阐明了耦合函数和动力学之间的关系。我们着眼于簇在时间上不相关的意义上是不等价的情况，并证明存在耦合函数，可以在涉及三个或更多非平凡簇的周期状态之间提供鲁棒的异质网络。我们考虑一个N = 6振荡器的示例，其中群集分为三个不等价的群集。我们还讨论了周期性多簇状态的分叉结构的某些方面，并表明不等价簇的横向稳定性在很大程度上可独立于切向稳定性而变化。

著录项

  • 来源
    《Dynamical Systems》 |2015年第1期|122-135|共14页
  • 作者

    Asma Ismail; Peter Ashwin;

  • 作者单位

    Centre for Systems, Dynamics and Control, Harrison Building, University of Exeter, Exeter EX4 4QF, UK,Department of Mathematics, University of Benghazi, Benghazi, Libya;

    Centre for Systems, Dynamics and Control, Harrison Building, University of Exeter, Exeter EX4 4QF, UK;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);美国《生物学医学文摘》(MEDLINE);美国《化学文摘》(CA);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    robust clustering; coupled oscillators; coupling function; heteroclinic cycle; nontrivial cluster;

    机译：强大的集群;耦合振荡器;耦合功能异质周期非平凡簇;

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号