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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.

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Author:Vladimir Zykov, Grigory Bordyugov, Hartmut Lentz, Harald Engel
Document Type:Article
Year of first Publication:2010
Year of Completion: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