TY - JOUR
T1 - Scattering and separators in dissipative systems
AU - Nishiura, Yasumasa
AU - Teramoto, Takashi
AU - Ueda, Kei Ichi
PY - 2003
Y1 - 2003
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85037219525&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.67.056210
DO - 10.1103/PhysRevE.67.056210
M3 - 学術論文
C2 - 12786253
AN - SCOPUS:85037219525
SN - 1063-651X
VL - 67
SP - 7
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 5
ER -