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

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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.
Keywords
nonlinear dynamics, spiral wave meander, control, phase-locking, rotating electrical field, REENTRANT ACTIVITY, TURBULENCE DRIVEN, ELECTRIC-FIELD, ACTIVE MEDIA, SCROLL WAVES, DYNAMICS, TRANSITION, PATTERNS, SYMMETRY, DRIFT

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Citation

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MLA
Li, Tengchao, et al. “A Quantitative Theory for Phase-Locking of Meandering Spiral Waves in a Rotating External Field.” NEW JOURNAL OF PHYSICS, vol. 21, 2019.
APA
Li, T., Li, B. W., Zheng, B., Zhang, H., Panfilov, A., & Dierckx, H. (2019). A quantitative theory for phase-locking of meandering spiral waves in a rotating external field. NEW JOURNAL OF PHYSICS, 21.
Chicago author-date
Li, Tengchao, Bing Wei Li, Bo Zheng, Hong Zhang, Alexander Panfilov, and Hans Dierckx. 2019. “A Quantitative Theory for Phase-Locking of Meandering Spiral Waves in a Rotating External Field.” NEW JOURNAL OF PHYSICS 21.
Chicago author-date (all authors)
Li, Tengchao, Bing Wei Li, Bo Zheng, Hong Zhang, Alexander Panfilov, and Hans Dierckx. 2019. “A Quantitative Theory for Phase-Locking of Meandering Spiral Waves in a Rotating External Field.” NEW JOURNAL OF PHYSICS 21.
Vancouver
1.
Li T, Li BW, Zheng B, Zhang H, Panfilov A, Dierckx H. A quantitative theory for phase-locking of meandering spiral waves in a rotating external field. NEW JOURNAL OF PHYSICS. 2019;21.
IEEE
[1]
T. Li, B. W. Li, B. Zheng, H. Zhang, A. Panfilov, and H. Dierckx, “A quantitative theory for phase-locking of meandering spiral waves in a rotating external field,” NEW JOURNAL OF PHYSICS, vol. 21, 2019.
@article{8608875,
  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.}},
  articleno    = {{043012}},
  author       = {{Li, Tengchao and Li, Bing Wei and Zheng, Bo and Zhang, Hong and Panfilov, Alexander and Dierckx, Hans}},
  issn         = {{1367-2630}},
  journal      = {{NEW JOURNAL OF PHYSICS}},
  keywords     = {{nonlinear dynamics,spiral wave meander,control,phase-locking,rotating electrical field,REENTRANT ACTIVITY,TURBULENCE DRIVEN,ELECTRIC-FIELD,ACTIVE MEDIA,SCROLL WAVES,DYNAMICS,TRANSITION,PATTERNS,SYMMETRY,DRIFT}},
  language     = {{eng}},
  pages        = {{12}},
  title        = {{A quantitative theory for phase-locking of meandering spiral waves in a rotating external field}},
  url          = {{http://dx.doi.org/10.1088/1367-2630/ab096a}},
  volume       = {{21}},
  year         = {{2019}},
}

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