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Phase-dependent output of scattering process for traveling breathers
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 |
Relation: | http://www.aps.org/ |
Type: | article |
URI: | http://hdl.handle.net/2115/5429 |
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)
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Submitter: 西浦 廉政
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