The dynamic of repulsion of spiral waves from excitable regions

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 t...

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Bibliographic Details
Published in:Nonlinear dynamics 2021, Vol.103 (1), p.979-986
Main Authors: Wu, Ningjie, Ying, Heping
Format: Article
Language:English
Subjects:
Automotive Engineering
Classical Mechanics
Control
Dynamical Systems
Engineering
Kinematic equations
Mathematical models
Mechanical Engineering
Original Paper
Resonant frequencies
Vibration
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Summary: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.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-020-06086-4