Suppression of Spiral Wave in Modified Orengonator Model |
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Authors: | MA Jun JIN Wu-Yin YI Ming WANG Chun-Ni |
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Institution: | 1. Department of Physics, Lanzhou University of Technology, Lanzhou 730050, China
;2. Department of Physics, Central China Normal University, Wuhan 430079, China
;3. College of Mechano-Electronic Engineering, Lanzhou
University of Technology, Lanzhou 730050, China |
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Abstract: | In this paper, a spatial perturbation scheme is proposed to suppress
the spiral wave in the modified Orengonator model, which is used to
describe the chemical reaction in the light-sensitive media. The
controllable external illumination Φ is perturbed with a spatial linear function. In our numerical simulation, the scheme is investigated by imposing the external controllable illumination
on the space continuously and/or intermittently. The numerical
simulation results confirm that the stable rotating spiral wave
still can be removed with the scheme proposed in this paper even if
the controllable Φ changed vs. time and space synchronously. Then the scheme is also used to control the spiral wave and turbulence in the modified Fitzhugh-Nagumo model. It is
found that the scheme is effective to remove the sable rotating and
meandering spiral wave but it costs long transient period and intensity of the gradient parameter to eliminate the spiral turbulence. |
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Keywords: | spiral wave spatial perturbation Orengonator model modified Fitzhugh-Nagumo model |
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