Symmetry-broken states on networks of coupled oscillators

Xin Jiang; Daniel M. Abrams

doi:10.1103/PhysRevE.93.052202

Symmetry-broken states on networks of coupled oscillators

Xin Jiang^*, Daniel M. Abrams

^*Corresponding author for this work

Engineering Sciences and Applied Mathematics

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

When identical oscillators are coupled together in a network, dynamical steady states are often assumed to reflect network symmetries. Here, we show that alternative persistent states may also exist that break the symmetries of the underlying coupling network. We further show that these symmetry-broken coexistent states are analogous to those dubbed "chimera states," which can occur when identical oscillators are coupled to one another in identical ways.

Original language	English (US)
Article number	052202
Journal	Physical Review E
Volume	93
Issue number	5
DOIs	https://doi.org/10.1103/PhysRevE.93.052202
State	Published - May 2 2016

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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abstract = "When identical oscillators are coupled together in a network, dynamical steady states are often assumed to reflect network symmetries. Here, we show that alternative persistent states may also exist that break the symmetries of the underlying coupling network. We further show that these symmetry-broken coexistent states are analogous to those dubbed {"}chimera states,{"} which can occur when identical oscillators are coupled to one another in identical ways.",

author = "Xin Jiang and Abrams, {Daniel M.}",

note = "Funding Information: The authors thank O. E. Omel'chenko and M. Wolfrum for helpful discussions. This work is partially supported by NSFC Grants No. 11201017 and No. 11290141.",

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