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Scattering of traveling spots in dissipative systems

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Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/6125

Title: Scattering of traveling spots in dissipative systems
Authors: Nishiura, Yasumasa1 Browse this author →KAKEN DB
Teramoto, Takashi Browse this author
Ueda, Kei-Ichi Browse this author
Authors(alt): 西浦, 廉政1
Issue Date: Dec-2005
Publisher: American Institute of Physics
Journal Title: Chaos: An Interdisciplinary Journal of Nonlinear Science
Volume: 15
Start Page: 047509
Publisher DOI: 10.1063/1.2087127
PMID: 16396602
Abstract: One of the fundamental questions for self-organization in pattern formation is how spatial periodic structure is spontaneously formed starting from a localized fluctuation. It is known in dissipative systems that splitting dynamics is one of the driving forces to create many particle-like patterns from a single seed. On the way to final state there occur many collisions among them and its scattering manner is crucial to predict whether periodic structure is realized or not. We focus on the colliding dynamics of traveling spots arising in a three-component system and study how the transition of scattering dynamics is brought about. It has been clarified that hidden unstable patterns called "scattors" and their stable and unstable manifolds direct the traffic flow of orbits before and after collisions. The collision process in general can be decomposed into several steps and each step is controlled by such a scattor, in other words, a network among scattors forms the backbone for scattering dynamics. A variety of input-output relations comes from the complexity of the network as well as high Morse indices of the scattor. The change of transition manners is caused by the switching of the network from one structure to another, and such a change is caused by the singularities of scattors. We illustrate a typical example of the change of transition caused by the destabilization of the scattor. A new instability of the scattor brings a new destination for the orbit resulting in a new input-output relation, for instance, Hopf instability for the scattor of peanut type brings an annihilation.
Rights: Copyright © 2005 American Institute of Physics
Relation: http://www.aip.org/
Type: article
URI: http://hdl.handle.net/2115/6125
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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