International Journal of Theoretical Physics

, Volume 48, Issue 1, pp 150–157 | Cite as

Suppression of the Spiral Wave and Turbulence in the Excitability-Modulated Media

  • Jun Ma
  • Chun-Ni Wang
  • Jun Tang
  • Ya-Feng Xia


Periodical forcing is used to control the spiral wave and turbulence in the modified Fithzhugh-Nagumo equation (MFHNe) when excitability is changed. The decisive parameter ε of (MFHNe), which describes the ratio of time scales of the fast activator u and the slow inhibitor variable v, is supposed to increase linearly to simulate the excitability modulation in the media. In the numerical simulation, a local periodical stimulus is imposed on the left border of the media and the periods of external forcing are adjusted according to the approximate formula ω 1/ε 1/3 so that using the most appropriate frequency for the external forcing can approach a shorter transient period. It is found that the spiral wave and turbulence can be removed successfully by using an appropriate periodical forcing on the left border of the media. The mean activator and distribution of frequency of all the sites are also used to analyze the transition of spiral wave.


Spiral wave Turbulence Parameter shift and excitability 


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© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.School of ScienceLanzhou University of TechnologyLanzhouChina
  2. 2.Department of PhysicsCentral China Normal UniversityWuhanChina

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