Dynamic transitions through scatters in dissipative systems

Yasumasa Nishiura, Takashi Teramoto, Kei Ichi Ueda

Research output: Contribution to journalReview articlepeer-review

38 Citations (Scopus)

Abstract

Scattering of particle-like patterns in dissipative systems is studied, especially we focus on the issue how the input-output relation is controlled at a head-on collision where traveling pulses or spots 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 unstable steady or time-periodic solutions called scattors and their stable and unstable manifolds direct the traffic flow of orbits. Such scattors are in general highly unstable even in the one-dimensional case which causes a variety of input-output relations through the scattering process. We illustrate the ubiquity of scattors by using the complex Ginzburg-Landau equation, the Gray-Scott model, and a three-component reaction diffusion model arising in gas-discharge phenomena.

Original languageEnglish
Pages (from-to)962-972
Number of pages11
JournalChaos
Volume13
Issue number3
DOIs
Publication statusPublished - 2003 Sep

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

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