Accumulations of T-points in a model for solitary pulses in an excitable reaction-diffusion medium.

Authors
Publication date 2005
Journal Physica D
Volume | Issue number 201 | 3-4
Pages (from-to) 212-229
Number of pages 18
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract We consider a family of differential equations that describes traveling waves in a reaction-diffusion equation modeling oxidation of carbon oxide on a platinum surface, near the onset of spatio-temporal chaos. The organizing bifurcation for the bifurcation structure with small carbon oxide pressures, turns out to be a codimension 3 bifurcation involving a homoclinic orbit to an equilibrium undergoing a transcritical bifurcation. We show how infinitely many T-point bifurcations of multi loop heteroclinic cycles occur in the unfolding.
Document type Article
Published at https://doi.org/10.1016/j.physd.2004.12.007
Published at http://www.sciencedirect.com
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