• search hit 2 of 3
Back to Result List

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.

Export metadata

Additional Services

Search Google Scholar Statistics
Metadaten
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
Accept ✔
This website uses technically necessary session cookies. By continuing to use the website, you agree to this. You can find our privacy policy here.