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The dynamic of repulsion of spiral waves from excitable regions

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Abstract

This article mainly studies the repulsion dynamics of spiral waves near the unexcitable zone. We propose that this repulsion behavior is caused by changes in the natural frequency of the spiral wave near the unexcitable boundary. Specifically, assuming that the drift motion of the spiral wave near the unexcitable boundary still satisfies the kinematic equation under the action of a periodic external force, the change in the natural frequency leads to the appearance of the repulsion motion. By the numerical simulation of the Barkley model with circular and flat unexcitable regions, it is found that the simulation results are consistent with the above assumptions.

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Acknowledgements

This work was supported by CSC (Grants No. 201806865012) and NSFC (Grants No. 11871278).

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Authors and Affiliations

  1. Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nan**g Normal University, Nan**g, 210046, China

    Ningjie Wu

  2. Institute of Modern Physics and Department of Physics, Zhejiang University, Hangzhou, 310027, China

    He** Ying

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  1. Ningjie Wu
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  2. He** Ying
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Correspondence to Ningjie Wu.

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Wu, N., Ying, H. The dynamic of repulsion of spiral waves from excitable regions. Nonlinear Dyn 103, 979–986 (2021). https://doi.org/10.1007/s11071-020-06086-4

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  • DOI: https://doi.org/10.1007/s11071-020-06086-4

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