Motion of spiral tip driven by local forcing in excitable media

doi:10.1088/1674-1056/23/5/050502

Abstract We study the motion of a spiral wave controlled by a local periodic forcing imposed on a region around the spiral tip in an excitable medium. Three types of trajectories of spiral tip are observed: the epicycloid-like meandering, the resonant drift, and the hypocycloid-like meandering. The frequency of the spiral is sensitive to the local periodic forcing. The dependency of spiral frequency on the amplitude and size of local periodic forcing are presented. In addition, we show how the drift speed and direction are adjusted by the amplitude and phase of local periodic forcing, which is consistent with a theoretical analysis based on the weak deformation approximation.

Keywords: spiral wave local forcing resonant drift weak deformation approximation

Received: 10 October 2013
Revised: 25 November 2013
Accepted manuscript online:

PACS:	05.45.-a	(Nonlinear dynamics and chaos)
	05.45.Xt	(Synchronization; coupled oscillators)
	82.40.Ck	(Pattern formation in reactions with diffusion, flow and heat transfer)
	82.20.-w	(Chemical kinetics and dynamics)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11274271) and the Scientific Research Foundation of Education Bureau of Zhejiang Province, China (Grant No. Y201224250).

Corresponding Authors: Liu Gui-Quan, Ying He-Ping
E-mail: gqliu@zju.edu.cn;hpying@zju.edu.cn

About author: 05.45.-a; 05.45.Xt; 82.40.Ck; 82.20.-w

Cite this article:

Liu Gui-Quan (刘贵泉), Ying He-Ping (应和平) Motion of spiral tip driven by local forcing in excitable media 2014 Chin. Phys. B 23 050502

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