Published June 6, 2005
| Version v1
Journal article
Parity-breaking front bifurcation in bistable media: link between discrete and continuous versions
- 1. Max-Planck-Institut fuer Physik komplexer Systeme, Noethnitzerstr. 38, 01187 Dresden (Germany) and Grupo de Fisica Non-Lineal, Fac. de Fisica, Universidade de Santiago de Compostela, E-15782 Santiago de Compostela (Spain)
- 2. Grupo de Fisica Non-Lineal, Fac. de Fisica, Universidade de Santiago de Compostela, E-15782 Santiago de Compostela (Spain)
Description
The effect of space-discretization in the onset of traveling fronts in symmetrically bistable media is studied. For the FitzHugh-Nagumo model stable standing and propagating front solutions coexist. In the continuum limit this region of coexistence shrinks to a (double-zero eigenvalue) point. The unfolding of this point severely restricts the possible scenarios for the transition from standing to propagating fronts, such that the route described here and the one reported in [Phys. Rev. E 64 (2001) 065203(R)] are the most typical scenarios
Additional details
Identifiers
- DOI
- 10.1016/j.physleta.2005.03.026;
- PII
- S0375-9601(05)00400-7;
Publishing Information
- Journal Title
- Physics Letters. A
- Journal Volume
- 340
- Journal Issue
- 1-4
- Journal Page Range
- p. 132-138
- ISSN
- 0375-9601
- CODEN
- PYLAAG
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 37036713
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- BIFURCATION; EIGENVALUES; MATHEMATICAL SOLUTIONS; MATHEMATICAL SPACE; PARITY
- Descriptors DEC
- PARTICLE PROPERTIES; SPACE
Optional Information
- Copyright
- Copyright (c) 2005 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.