Journal
PHYSICAL REVIEW E
Volume 83, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.83.046223
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Funding
- Research Foundation Flanders (FWO-Vlaanderen)
- Belgian Science Policy Office [IAP VI-10]
- EU [240763]
- MICINN (Spain) [TEC2009-14101]
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The symmetry in a network of oscillators determines the spatiotemporal patterns of activity that can emerge. We study how a delay in the coupling affects symmetry-breaking and -restoring bifurcations. We are able to draw general conclusions in the limit of long delays. For one class of networks we derive a criterion that predicts that delays have a symmetrizing effect. Moreover, we demonstrate that for any network admitting a steady-state solution, a long delay can solely advance the first bifurcation point as compared to the instantaneous-coupling regime.
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