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Traveling waves in a chain of pulse-coupled oscillators

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posted on 2006-05-11, 17:11 authored by P.C. Bressloff, S. Coombes
We derive conditions for the existence of traveling wave solutions in a chain of pulse-coupled integrate-and-fire oscillators with nearest-neighbor interactions and distributed delays. A linear stability analysis of the traveling waves is carried out in terms of perturbations of the firing times of the oscillators. It is shown how traveling waves destabilize when the detuning between oscillators or the strength of the coupling becomes too large.

History

School

  • Science

Department

  • Mathematical Sciences

Pages

136178 bytes

Citation

BRESSLOFF and COOMBES, 1998. Traveling waves in a chain of pulse-coupled oscillators. Physical Review Letters, 80(21), pp. 4815–4818

Publisher

© American Physical Society

Publication date

1998

Notes

This article was published in the journal, Physical Review Letters [© American Physical Society]. It is also available at: http://link.aps.org/abstract/PRL/v80/p4815.

ISSN

0031-9007

Language

  • en

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