title: Core solutions of rigidly rotating spiral waves in highly excitable media.
abstract: Analytical spiral wave solutions for reaction-diffusion equations play an important role in studying spiral wave dynamics. In this paper, we focus on such analytical solutions in the case of highly excitable media. We present numerical evidence that, for rigidly rotating spiral waves in highly excitable media, the species values in the spiral core region do harmonic oscillations but not relaxation ones, and their amplitudes grow linearly with the distance from the rotation center. An analytical solution is proposed to describe such spiral wave dynamics, and the quantitative comparisons between the numerical results and the analytical solutions show that the proposed spiral core solution works well in highly excitable media.
authors.affiliation: Zhejiang Institute of Modern Physics and Department of Physics, Zhejiang University, Hangzhou 310027, China.
authors.forename: Mei-Chun
authors.initials: MC
authors.lastname: Cai
authors.affiliation: Zhejiang Institute of Modern Physics and Department of Physics, Zhejiang University, Hangzhou 310027, China and Institute of Physical Oceanography and Ocean College, Zhejiang University, Hangzhou 310058, China.
authors.forename: Jun-Ting
authors.initials: JT
authors.lastname: Pan
authors.affiliation: Zhejiang Institute of Modern Physics and Department of Physics, Zhejiang University, Hangzhou 310027, China.
authors.forename: Hong
authors.initials: H
authors.lastname: Zhang
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D008954:Models, Biological; D017711:Nonlinear Dynamics; D009991:Oscillometry / Q000379:methods*