Scattering and separators in dissipative systems

Yasumasa Nishiura, Takashi Teramoto, Kei Ichi Ueda

研究成果: ジャーナルへの寄稿学術論文査読

6 被引用数 (Scopus)

抄録

Scattering of particlelike patterns in dissipative systems is studied, especially we focus on the issue how the input-output relation is controlled at a head-on collision in the one-dimensional(1D) space where traveling pulses interact strongly. It remains an open problem due to the large deformation of patterns at a colliding point. We found that a special type of steady or time-periodic solutions called separators and their stable and unstable manifolds direct the traffic flow of orbits. Such separators are, in general, highly unstable even in the 1D case which causes a variety of input-output relations through the scattering process. We illustrate the ubiquity of separators by using the Gray-Scott model and a three-component reaction diffusion model arising in gas-discharge phenomena.

本文言語英語
ページ(範囲)7
ページ数1
ジャーナルPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
67
5
DOI
出版ステータス出版済み - 2003

ASJC Scopus 主題領域

  • 統計物理学および非線形物理学
  • 統計学および確率
  • 凝縮系物理学

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