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, A Panfilov, Hans Dierckx
2019 New Journal of Physics  
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 circularcore 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.
doi:10.1088/1367-2630/ab096a fatcat:tpeubsgoy5h5hkbzsnswt3tt2a