open access

https://hdl.handle.net/2115/35226

Scattering and separators in dissipative systems

英語

PACS = 89.75.Kd

2003

American Physical Society

Physical review. E, Statistical, nonlinear, and soft matter physics

67(5)

056210

Scattering of particlelike patterns in dissipative systems is studied, especially we focus on the issue how the input-output relation is controlled at a head-on collision in the one-dimensional(1D) space where traveling pulses interact strongly. It remains an open problem due to the large deformation of patterns at a colliding point. We found that a special type of steady or time-periodic solutions called separators and their stable and unstable manifolds direct the traffic flow of orbits. Such separators are, in general, highly unstable even in the 1D case which causes a variety of input-output relations through the scattering process. We illustrate the ubiquity of separators by using the Gray-Scott model and a three-component reaction diffusion model arising in gas-discharge phenomena.

学術雑誌論文

Version of Record

© 2003 The American Physical Society

1539-3755

1550-2376