open access

https://hdl.handle.net/2115/35227

Dynamic transitions through scattors in dissipative systems

英語

2003-09

American Institute of Physics

Chaos : An Interdisciplinary Journal of Nonlinear Science

13(3)

962-972

Scattering of particle-like patterns in dissipative systems is studied, especially we focus on the issue how the input–output relation is controlled at a head-on collision where traveling pulses or spots 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 unstable steady or time-periodic solutions called scattors and their stable and unstable manifolds direct the traffic flow of orbits. Such scattors are in general highly unstable even in the one-dimensional case which causes a variety of input–output relations through the scattering process. We illustrate the ubiquity of scattors by using the complex Ginzburg–Landau equation, the Gray–Scott model, and a three-component reaction diffusion model arising in gas-discharge phenomena.

学術雑誌論文

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© 2003 American Institute of Physics

1054-1500