Dynamics of traveling pulses in heterogeneous media of jump type

Yasumasa Nishiura, Yoshihito Oyama, Kei Ichi Ueda

研究成果: ジャーナルへの寄稿学術論文査読

18 被引用数 (Scopus)

抄録

We study pulse dynamics in one-dimensional heterogeneous media. In particular we focus on the case where the pulse is close to the singularity of codim 2 type consisting of drift and saddle-node instabilities in a parameter space. We assume that the heterogeneity is of jump type, namely one of the coefficients of the system undergoes an abrupt change at one point in the space. Depending on the height of this jump, the responses of pulse behavior are penetration, splitting, and rebound. Taking advantage of the fact that pulse is close to the singularity, the PDE dynamics can be reduced to a finite-dimensional system, which displays the three behaviors. Moreover it takes a universal form independent of model systems, and is valid for much more general heterogeneities such as bump, periodic, and random cases.

本文言語英語
ページ(範囲)207-242
ページ数36
ジャーナルHokkaido Mathematical Journal
36
1
DOI
出版ステータス出版済み - 2007

ASJC Scopus 主題領域

  • 数学一般

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