Equivariant Hopf bifurcation in a ring of identical cells with delayed coupling

, and

Published 7 October 2005 • 2005 IOP Publishing Ltd and London Mathematical Society
, , Citation Sue Ann Campbell et al 2005 Nonlinearity 18 2827 DOI 10.1088/0951-7715/18/6/022

Download Article PDF

Article metrics

365 Total downloads

Share this article

Author affiliations

1 Department of Applied Mathematics, University of Waterloo, Waterloo, ON, N2L 3G1, Canada

2 Centre for Nonlinear Dynamics in Physiology and Medicine, McGill University, Montréal, QC, H3G 1Y6, Canada

3 Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Newfoundland, A1C 5S7, Canada

4 Current address: Department of Computer Science, Memorial University of Newfoundland, St John's, Newfoundland, A1C 5S7, Canada.

Dates

  1. Received 21 June 2005
  2. Published

Buy this article in print

Journal RSS
Sign up for new issue notifications
0951-7715/18/6/2827

Abstract

We consider a ring of identical elements with time delayed, nearest-neighbour coupling. The individual elements are modelled by a scalar delay differential equation which includes linear decay and nonlinear delayed feedback. The bifurcation and stability of nontrivial asynchronous oscillations from the trivial solution are analysed using equivariant bifurcation theory and centre manifold construction.

Export citation and abstract BibTeX RIS

Previous article in issue
Next article in issue

Recommended by D Treschev

10.1088/0951-7715/18/6/022