open access

https://hdl.handle.net/2115/35223

Scattering Phenomena for Traveling Breathers

英語

2004

京都大学数理解析研究所

RIMS Kokyuroku

1368

111-118

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.

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