Symmetry-broken states on networks of coupled oscillators

Xin Jiang*, Daniel M. Abrams

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 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 languageEnglish (US)
Article number052202
JournalPhysical Review E
Volume93
Issue number5
DOIs
StatePublished - May 2 2016

Funding

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.

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Statistics and Probability

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