Hysteresis phenomenon in the dynamics of spiral waves rotating around a hole
- Hysteresis in the pinning-depinning transitions of spiral waves rotating around a hole in a circular shaped two- dimensional excitable medium is studied both by use of the continuation software AUTO and by direct numerical integration of the reaction-diffusion equations for the FitzHugh-Nagumo model. In order to clarify the role of different factors in this phenomenon, a kinematical description is applied. It is found that the hysteresis phenomenon computed for the reaction-diffusion model can be reproduced qualitatively only when a nonlinear eikonal equation (i.e. velocity- curvature relationship) is assumed. However, to obtain quantitative agreement, the dispersion relation has to be taken into account.
Author details: | Vladimir Zykov, Grigory Bordyugov, Hartmut Lentz, Harald Engel |
---|---|
URL: | http://www.sciencedirect.com/science/journal/01672789 |
DOI: | https://doi.org/10.1016/j.physd.2009.07.018 |
ISSN: | 0167-2789 |
Publication type: | Article |
Language: | English |
Year of first publication: | 2010 |
Publication year: | 2010 |
Release date: | 2017/03/25 |
Source: | Physica D : nonlinear phenomena. - ISSN 0167-2789. - 239 (2010), 11, S. 797 - 807 |
Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
Peer review: | Referiert |