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New Journal of PhysicsVolume 21, Issue 4, 8 April 2019, Article number 043012

A quantitative theory for phase-locking of meandering spiral waves in a rotating external field(Article)(Open Access)

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  • aZhejiang Institute of Modern Physics, Department of Physics, Zhejiang University, Hangzhou, 310027, China
  • bDepartment of Physics and Astronomy, Ghent University, Krijgslaan 281, Gent, B-9000, Belgium
  • cDepartment of Physics, Hangzhou Normal University, Hangzhou, 311121, China
  • dCollaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing, 210093, China
  • eLaboratory of Computational Biology and Medicine, Ural Federal University, Ekaterinburg, Russian Federation

Abstract

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. © 2019 The Author(s). Published by IOP Publishing Ltd on behalf of the Institute of Physics and Deutsche Physikalische Gesellschaft.

Author keywords

controlnonlinear dynamicsphase-lockingrotating electrical fieldspiral wave meander

Indexed keywords

Engineering controlled terms:Chemical bondsControl engineeringDynamicsMolecular orbitalsWave functions
Engineering uncontrolled termsCritical strengthElectrical fieldMeandering spiral wavesOverlap integralsPhase-lockingQuantitative theoryResponse functionsSpiral waves
Engineering main heading:Locks (fasteners)

Funding details

  • 1

    Original content from this work may be used under the terms of the . Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Natural Science Foundation of Zhejiang Province https://doi.org/10.13039/501100004731 LY16A050003 National Natural Science Foundation of China https://doi.org/10.13039/501100001809 11675141 11775186 China Postdoctoral Science Foundation https://doi.org/10.13039/501100002858 No. 2018M632444 yes � 2019 The Author(s). Published by IOP Publishing Ltd on behalf of the Institute of Physics and Deutsche Physikalische Gesellschaft Creative Commons Attribution 3.0 licence

  • ISSN: 13672630
  • Source Type: Journal
  • Original language: English
  • DOI: 10.1088/1367-2630/ab096a
  • Document Type: Article
  • Publisher: Institute of Physics Publishing

  Li, B.-W.; Department of Physics, Hangzhou Normal University, Hangzhou, China;
© Copyright 2019 Elsevier B.V., All rights reserved.

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