Accumulations of T-points in a model for solitary pulses in an excitable reaction-diffusion medium.
| Authors |
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| Publication date | 2005 |
| Journal | Physica D |
| Volume | Issue number | 201 | 3-4 |
| Pages (from-to) | 212-229 |
| Number of pages | 18 |
| Organisations |
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| 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
(Final published version)
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