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

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Author

Summary, in English

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.

Department/s

Publishing year

2005

Language

English

Pages

212-229

Publication/Series

Physica D: Nonlinear Phenomena

Volume

201

Issue

3-4

Document type

Journal article

Publisher

Elsevier

Topic

  • Mathematics

Keywords

  • surface catalysis
  • global bifurcation theory

Status

Published

Research group

  • Analysis and Dynamics
  • Dynamical systems

ISBN/ISSN/Other

  • ISSN: 0167-2789