Role of delay for the symmetry in the dynamics of networks

D'Huys, Otti, Fischer, I., Danckaert, J. and Vicente, Raul (2011). Role of delay for the symmetry in the dynamics of networks. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 83 (4),

Abstract

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.

Publication DOI: https://doi.org/10.1103/PhysRevE.83.046223
Divisions: Engineering & Applied Sciences
Additional Information: ©2011 American Physical Society. Role of delay for the symmetry in the dynamics of networks O. D’Huys, I. Fischer, J. Danckaert, and R. Vicente Phys. Rev. E 83, 046223 – Published 26 April 2011
Uncontrolled Keywords: Condensed Matter Physics,Statistical and Nonlinear Physics,Statistics and Probability
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Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
https://journal ... sRevE.83.046223 (Publisher URL)
Published Date: 2011-04-26
Authors: D'Huys, Otti ( 0000-0001-7498-6771)
Fischer, I.
Danckaert, J.
Vicente, Raul

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