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Scattering Phenomena for Traveling Breathers
| 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 |
| URI: | http://hdl.handle.net/2115/35223 |
| 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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