Accumulations of T-points in a model for solitary pulses in an excitable reaction-diffusion medium
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/247876
- author
- Homburg, A J and Natiello, Mario LU
- organization
- publishing date
- 2005
- 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
- 2022-04-23 01:27:15
@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}},
}