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Phase-dependent output of scattering process for traveling breathers

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Title: Phase-dependent output of scattering process for traveling breathers
Authors: Teramoto, Takashi Browse this author
Ueda, Kei-Ichi Browse this author
Nishiura, Yasumasa3 Browse this author →KAKEN DB
Authors(alt): 西浦, 廉政3
Issue Date: 27-May-2004
Publisher: American Physical Society
Journal Title: Physical Review E
Volume: 69
Start Page: 056224
Publisher DOI: 10.1103/PhysRevE.69.056224
PMID: 15244921
Abstract: Scattering process between one-dimensional traveling breathers (TBs), i.e., oscillatory traveling pulses, for the complex Ginzburg-Landau equation (CGLE) with external forcing and a three-component activator-substrate-inhibitor model are studied. 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. A hidden unstable solution called the scattor plays a crucial role to understand the scattering dynamics. Stable and unstable manifolds of the scattor direct the traffic flows of the scattering process. A transition point of the input-output relation in a parameter space such as from preservation to annihilation corresponds to when the orbit crosses the stable manifold of the scattor. 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. It turns out that the scattor for the CGLE (respectively the three-component system) becomes an unstable time-periodic (respectively stationary) solution.
Rights: Copyright © 2004 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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