Motion of spiral tip driven by local forcing in excitable media

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

中国物理B ›› 2014, Vol. 23 ›› Issue (5): 50502-050502.doi: 10.1088/1674-1056/23/5/050502

Motion of spiral tip driven by local forcing in excitable media

刘贵泉^{a b}, 应和平^a

a Zhejiang Institute of Modern Physics and Department of Physics, Zhejiang University, Hangzhou 310027, China;
b College of Science, China Jiliang University, Hangzhou 310018, China

收稿日期:2013-10-10 修回日期:2013-11-25 出版日期:2014-05-15 发布日期:2014-05-15
基金资助:
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).

Motion of spiral tip driven by local forcing in excitable media

Liu Gui-Quan (刘贵泉)^{a b}, Ying He-Ping (应和平)^a

a Zhejiang Institute of Modern Physics and Department of Physics, Zhejiang University, Hangzhou 310027, China;
b College of Science, China Jiliang University, Hangzhou 310018, China

Received:2013-10-10 Revised:2013-11-25 Online:2014-05-15 Published:2014-05-15
Contact: 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
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: spiral wave, local forcing, resonant drift, weak deformation approximation

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.

Key words: spiral wave, local forcing, resonant drift, weak deformation approximation

中图分类号: (Nonlinear dynamics and chaos)

05.45.-a

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)

刘贵泉, 应和平. Motion of spiral tip driven by local forcing in excitable media[J]. 中国物理B, 2014, 23(5): 50502-050502.

Liu Gui-Quan (刘贵泉), Ying He-Ping (应和平). Motion of spiral tip driven by local forcing in excitable media[J]. Chin. Phys. B, 2014, 23(5): 50502-050502.

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Motion of spiral tip driven by local forcing in excitable media

Motion of spiral tip driven by local forcing in excitable media

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