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

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.

• Författare: A J Homburg; Mario Natiello
• Avdelning/ar: Matematik LTH; Dynamical systems
• Publiceringsår: 2005
• Språk: Engelska
• Sidor: 212-229
• Publikation/Tidskrift/Serie: Physica D: Nonlinear Phenomena
• Volym: 201
• Issue: 3-4
• Länkar: http://dx.doi.org/10.1016/j.physd.2004.12.007
• Dokumenttyp: Artikel i tidskrift
• Förlag: Elsevier
• Ämne: Mathematics
• Nyckelord: surface catalysis; global bifurcation theory
• Status: Published
• Forskningsgrupp: Analysis and Dynamics; Dynamical systems
• ISBN/ISSN/Övrigt: ISSN: 0167-2789