TY  - JOUR
A1  - Zykov, Vladimir
A1  - Bordyugov, Grigory
A1  - Lentz, Hartmut
A1  - Engel, Harald
T1  - Hysteresis phenomenon in the dynamics of spiral waves rotating around a hole
N2  - 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.
Y1  - 2010
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/31457
UR  - http://www.sciencedirect.com/science/journal/01672789
SN  - 0167-2789
ER  -