New Journal of Physics (Jan 2019)

A quantitative theory for phase-locking of meandering spiral waves in a rotating external field

  • Teng-Chao Li,
  • Bing-Wei Li,
  • Bo Zheng,
  • Hong Zhang,
  • Alexander Panfilov,
  • Hans Dierckx

DOI
https://doi.org/10.1088/1367-2630/ab096a
Journal volume & issue
Vol. 21, no. 4
p. 043012

Abstract

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When a rotating external field larger than a critical strength is applied to a meandering spiral with frequency close to the spiral frequency, the spiral may phase-lock to the applied field and perform rigid rotation instead. We show that this conversion happens by stabilization of an unstable circular-core spiral due to the external field. From calculating overlap integrals of adjoint critical modes (response functions), the Arnold tongue for phase-locking is predicted, matching the outcome from direct numerical simulations.

Keywords