SPIRAL DYNAMICS IN EXCITABLE MEDIUM INDUCED BY EXTERNAL PERIODIC MODULATION-Reference-Cited by-同舟云学术

SPIRAL DYNAMICS IN EXCITABLE MEDIUM INDUCED BY EXTERNAL PERIODIC MODULATION

Published:2013-05 Issue:05 Volume:23 Page:1350082
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

QIAN YU¹,LI WEI²,HUANG XIAODONG³,ZHANG ZHAOYANG⁴,MI YUANYUAN⁵

Affiliation:

1. Nonlinear Research Institute, Baoji University of Arts and Sciences, Baoji 721007, P. R. China

2. College of Safety and Environment Engineering, Capital University of Economics and Business, Beijing 100070, P. R. China

3. Department of Physics, South China University of Technology, Guangzhou 510640, P. R. China

4. Department of Physics, Beijing Normal University, Beijing 100875, P. R. China

5. Center for Systems Biology, Soochow University, Suzhou 215000, P. R. China

Abstract

Spatiotemporal dynamics of spiral tip and the evolution of spiral wave induced by external periodic modulation has been investigated in a generic excitable model. Tip dynamics of spiral wave depending on the frequency and strength of the external modulation is revealed by the meandering size variable Rx of the tip trajectory. Different effects of frequency and strength on spiral dynamics are observed and the corresponding mechanisms are explained. Finally, we can eliminate spiral wave out of the boundary successfully by suitably choosing the frequency and the strength of the external periodic modulation.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021812741350082X

Reference39 articles.

1. Taming Winfree Turbulence of Scroll Waves in Excitable Media

2. Spiral-wave dynamics in a simple model of excitable media: The transition from simple to compound rotation

3. Linear stability analysis of rotating spiral waves in excitable media

4. Euclidean symmetry and the dynamics of rotating spiral waves

5. Stationary and drifting spiral waves of excitation in isolated cardiac muscle

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