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Dynamic transitions through scattors in dissipative systems

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Title: Dynamic transitions through scattors in dissipative systems
Authors: Nishiura, Yasumasa Browse this author →KAKEN DB
Teramoto, Takashi Browse this author
Ueda, Kei-ichi Browse this author
Issue Date: Sep-2003
Publisher: American Institute of Physics
Journal Title: Chaos : An Interdisciplinary Journal of Nonlinear Science
Volume: 13
Issue: 3
Start Page: 962
End Page: 972
Publisher DOI: 10.1063/1.1592131
PMID: 12946189
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.
Rights: © 2003 American Institute of Physics
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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