Rotating spiral waves in excitable media: The analytical results |
| |
Authors: | A.S. Mikhailov V.I. Krinsky |
| |
Affiliation: | Department of Physics, Moscow State University, Moscow 117234, USSR;Institute of Biological Physics, Pushchino, Moscow region, 142292, USSR |
| |
Abstract: | In this paper we calculate the rotation frequency of spiral waves as a function of the parameters of the excitable medium. We give the complete analytical solution in the special case of the Rinzel-Keller model and suggest an analytical procedure for general two-component relaxational reaction-diffusion models. This procedure is based on the Greenberg equation and stability analysis; it is applicable when the core of a spiral wave is large as compared with the characteristic diffusion length. Construction of spiral wave solutions for the waves inside ring channels, circular regions, or around holes is discussed. Multi-armed spiral waves are investigated. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|