Fixed points and stability in the two-network frustrated Kuramoto model
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- 作者：Alexander C. Kalloniatis ; alexander.kalloniatis@dsto.defence.gov.au" class="auth_mail" title="E-mail the corresponding author ; Mathew L. Zuparic mathew.zuparic@dsto.defence.gov.au" class="auth_mail" title="E-mail the corresponding author
- 关键词：Synchronisation ; Oscillator ; Kuramoto ; Network ; Frustration
- 刊名：Physica A: Statistical Mechanics and its Applications
- 出版年：2016
- 出版时间：1 April 2016
- 年：2016
- 卷：447
- 期：Complete
- 页码：21-35
- 全文大小：1063 K
文摘
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We model two networked groups internally synchronising and externally competing.
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Fixed points describe the two groups phase locked or one group in two fragments.
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We analytically solve for thresholds for loss of synchrony leading to fragmentation.
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We numerically solve for one group on a tree graph and the other on a random graph.
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Numerical and analytical results for thresholds agree across a range of couplings.