2011年1月
Pinned fronts in heterogeneous media of jump type
NONLINEARITY
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- 巻
- 24
- 号
- 1
- 開始ページ
- 127
- 終了ページ
- 157
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1088/0951-7715/24/1/007
- 出版者・発行元
- IOP PUBLISHING LTD
In this paper, we analyse the impact of a (small) heterogeneity of jump type on the most simple localized solutions of a 3-component FitzHugh-Nagumo-type system. We show that the heterogeneity can pin a 1-front solution, which travels with constant (non-zero) speed in the homogeneous setting, to a fixed, explicitly determined, distance from the heterogeneity. Moreover, we establish the stability of this heterogeneous pinned 1-front solution. In addition, we analyse the pinning of 1-pulse, or 2-front, solutions. The paper is concluded with simulations in which we consider the dynamics and interactions of N-front patterns in domains with M heterogeneities of jump type (N = 3, 4, M >= 1).
- リンク情報
- ID情報
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- DOI : 10.1088/0951-7715/24/1/007
- ISSN : 0951-7715
- Web of Science ID : WOS:000285343600008