オガワ　トシユキ   OGAWA Toshiyuki   小川　知之    所属   明治大学  総合数理学部    職種   専任教授
言語種別	日本語
発行・発表の年月	2016/01
形態種別	学術雑誌
査読	査読あり
標題	Stability of periodic traveling waves in the Aliev-Panfilov reaction-diffusion system
執筆形態	共著(筆頭者以外)
掲載誌名	Communications in Nonlinear Science and Numerical Simulation
掲載区分	国外
巻・号・頁	33,30-42頁
著者・共著者	M. Osman Gani, M. Osman Gani, M. Osman Gani, Toshiyuki Ogawa
概要	We study the two-component Aliev-Panfilov reaction-diffusion system of cardiac excitation. It is known that the model exhibits spiral wave instability in two-dimensional spatial domains. In order to describe the spiral wave instability, it is important to understand periodic traveling wave instability resulting from the model. We determine the existence and stability of periodic traveling waves in the model. In addition, we calculate the stability boundary between stable and unstable periodic traveling waves in a two-dimensional parameter plane. It is observed that the periodic traveling waves express instability by a stability change of Eckhaus type. As a result, a stable wave bifurcates to an oscillating periodic traveling wave. We describe these phenomena by calculating the essential spectra of the waves.
DOI	10.1016/j.cnsns.2015.09.002
ISSN	10075704
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