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Dynamics of a ring of pulse-coupled oscillators: group-theoretic approach
journal contribution
posted on 2006-05-11, 16:50 authored by P.C. Bressloff, S. Coombes, Barry J. De SouzaWe use group-theoretic methods to analyze phase-locking in a ring of identical integrate-and-fire oscillators with distributed delays. It is shown how certain phase-locked solutions emerge through symmetry breaking bifurcations as some characteristic delay of the system is varied. The reduction to a phase-coupled model in the weak coupling regime is discussed.
History
School
- Science
Department
- Mathematical Sciences
Pages
164994 bytesCitation
BRESSLOFF, COOMBES and DE SOUZA, 1997. Dynamics of a ring of pulse-coupled oscillators: group-theoretic approach. Physical Review Letters, 79(15), pp. 2791–2794Publisher
© American Physical SocietyPublication date
1997Notes
This article was published in the journal, Physical Review Letters [© American Physical Society]. It is also available: http://link.aps.org/abstract/PRL/v79/p2791.ISSN
0031-9007Language
- en