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Scattering and separators in dissipative systems

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Title: Scattering and separators in dissipative systems
Authors: Nishiura, Yasumasa Browse this author →KAKEN DB
Teramoto, Takashi Browse this author
Ueda, Kei-ichi Browse this author
Keywords: PACS = 82.40.Bj
PACS = 68.35.Fx
PACS = 82.20.Wt
PACS = 89.75.Kd
Issue Date: 2003
Publisher: American Physical Society
Journal Title: Physical review. E, Statistical, nonlinear, and soft matter physics
Volume: 67
Issue: 5
Start Page: 056210
Publisher DOI: 10.1103/PhysRevE.67.056210
PMID: 12786253
Abstract: 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.
Rights: © 2003 The American Physical Society
Type: article
Appears in Collections:電子科学研究所 (Research Institute for Electronic Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 西浦 廉政

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