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Scattering Phenomena for Traveling Breathers

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Title: Scattering Phenomena for Traveling Breathers
Authors: Nishiura, Yasumasa Browse this author →KAKEN DB
Issue Date: 2004
Publisher: 京都大学数理解析研究所
Journal Title: 数理解析研究所講究録
Journal Title(alt): RIMS Kokyuroku
Volume: 1368
Start Page: 111
End Page: 118
Abstract: Scattering process between ID traveling breathers (TBs) for the three-component reaction-diffusion system and complex Ginzburg-Landau equation (CGLE) with external forcing is studied. A hidden unstable solution called the scattor plays a crucial role to understand the scattering dynamics. The input-Output relation depends in general on the phase of two TBs at collision point, which makes a contrast to the case for the steady traveling pulses. The phase-dependency of input-output relation comes from the fact that the profiles at collision point make a loop parametrized by the phase and it traverses the stable manifold of the scattor. A global bifurcation viewpoint is quite useful not only to understand how TBs emerge but also to detect scattors.
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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