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

Homburg, A J and Natiello, Mario LU (2005) In Physica D: Nonlinear Phenomena 201(3-4). p.212-229
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.
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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
surface catalysis, global bifurcation theory
in
Physica D: Nonlinear Phenomena
volume
201
issue
3-4
pages
212 - 229
publisher
Elsevier
external identifiers
  • wos:000227813300002
  • scopus:14044267496
ISSN
0167-2789
DOI
10.1016/j.physd.2004.12.007
language
English
LU publication?
yes
id
56776370-02b5-49ef-aaf4-d4bb848ff4e3 (old id 247876)
date added to LUP
2016-04-01 16:55:22
date last changed
2025-10-14 10:36:03
@article{56776370-02b5-49ef-aaf4-d4bb848ff4e3,
  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.}},
  author       = {{Homburg, A J and Natiello, Mario}},
  issn         = {{0167-2789}},
  keywords     = {{surface catalysis; global bifurcation theory}},
  language     = {{eng}},
  number       = {{3-4}},
  pages        = {{212--229}},
  publisher    = {{Elsevier}},
  series       = {{Physica D: Nonlinear Phenomena}},
  title        = {{Accumulations of T-points in a model for solitary pulses in an excitable reaction-diffusion medium}},
  url          = {{http://dx.doi.org/10.1016/j.physd.2004.12.007}},
  doi          = {{10.1016/j.physd.2004.12.007}},
  volume       = {{201}},
  year         = {{2005}},
}