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Phase-dependent output of scattering process for traveling breathers

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タイトル: Phase-dependent output of scattering process for traveling breathers
著者: Teramoto, Takashi 著作を一覧する
Ueda, Kei-Ichi 著作を一覧する
Nishiura, Yasumasa 著作を一覧する
発行日: 2004年 5月27日
出版者: American Physical Society
誌名: Physical Review E
巻: 69
開始ページ: 056224
出版社 DOI: 10.1103/PhysRevE.69.056224
抄録: 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
関連URI: http://www.aps.org/
資料タイプ: article
URI: http://hdl.handle.net/2115/5429
出現コレクション:雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

提供者: 西浦 廉政

 

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