Volume 119, Number 5, September 2017
|Number of page(s)||6|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||24 November 2017|
Parametric wave induces straight drift of spiral waves in excitable medium
1 School of Physics, China University of Mining and Technology - Xuzhou 221116, China
2 School of Mathematica, China University of Mining and Technology - Xuzhou 221116, China
3 Department of Physics, Lanzhou University of Technology - Lanzhou 730050, China
Received: 8 September 2017
Accepted: 16 October 2017
Suppressing or eliminating spiral waves in an excitable medium is of practical significance. In this paper, the parametric wave is used to eliminate the spiral wave in an excitable medium modeled by Barkley equations. We found that the parametric wave could push the spiral tip out of the medium, thereby eliminating the spiral wave. Interestingly, parametric waves with particular amplitude and wave velocity could make the spiral tip drift along straight lines, which may correspond to efficient suppression of the spiral wave. Numerical results show that the drift velocity increases with the amplitude of the parametric wave prominently, while the frequency does not influence V significantly. The drift direction is determined by both the amplitude and frequency of the parametric wave. The parametric wave can push the spiral to drift along a totally different direction, even the opposite one, depending on the amplitude and frequency.
PACS: 87.18.Hf – Spatiotemporal pattern formation in cellular populations / 52.35.Kt – Drift waves / 87.15.A- – Theory, modeling, and computer simulation
© EPLA, 2017
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