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

A J Homburg, Mario Natiello

Forskningsoutput: TidskriftsbidragArtikel i vetenskaplig tidskriftPeer review

Sammanfattning

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.
Originalspråkengelska
Sidor (från-till)212-229
TidskriftPhysica D: Nonlinear Phenomena
Volym201
Nummer3-4
DOI
StatusPublished - 2005

Ämnesklassifikation (UKÄ)

  • Matematik

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