Giant improvement of time-delayed feedback control by spatio-temporal filtering -: art. no. 074101

被引:79
作者
Baba, N
Amann, A
Schöll, E
Just, W
机构
[1] Tech Univ Berlin, Inst Theoret Phys, D-10623 Berlin, Germany
[2] TU Chemnitz, D-09107 Chemnitz, Germany
[3] Queen Mary Univ London, Sch Math Sci, London E1 4NS, England
关键词
D O I
10.1103/PhysRevLett.89.074101
中图分类号
O4 [物理学];
学科分类号
0702 [物理学];
摘要
Control of spatio-temporal chaos by the time-delay autosynchronization method is improved by several orders of magnitude. Unstable time periodic patterns are efficiently stabilized if one employs filters and couplings which originate from the Floquet eigenvalue problem of the unstable orbit. We illustrate our scheme by an application to a globally coupled reaction-diffusion model which describes charge transport in semiconductor devices.
引用
收藏
页数:4
相关论文
共 15 条
[1]
Stability of current filaments in a bistable semiconductor system with global coupling [J].
Alekseev, A ;
Bose, S ;
Rodin, P ;
Scholl, E .
PHYSICAL REVIEW E, 1998, 57 (03) :2640-2649
[2]
Experimental control of unstable patterns and elimination of spatiotemporal disorder in nonlinear optics [J].
Benkler, E ;
Kreuzer, M ;
Neubecker, R ;
Tschudi, T .
PHYSICAL REVIEW LETTERS, 2000, 84 (05) :879-882
[3]
Stability of periodic orbits controlled by time-delay feedback [J].
Bleich, ME ;
Socolar, JES .
PHYSICS LETTERS A, 1996, 210 (1-2) :87-94
[4]
Controlling extended systems with spatially filtered, time-delayed feedback [J].
Bleich, ME ;
Hochheiser, D ;
Moloney, JV ;
Socolar, JES .
PHYSICAL REVIEW E, 1997, 55 (03) :2119-2126
[5]
Control of chaotic spatiotemporal spiking by time-delay autosynchronization [J].
Fanceschini, G ;
Bose, S ;
Schöll, E .
PHYSICAL REVIEW E, 1999, 60 (05) :5426-5434
[6]
Control of spatiotemporal chaos by using random itinerant feedback injections [J].
Gao, JH ;
Wang, XG ;
Hu, G ;
Xiao, JH .
PHYSICS LETTERS A, 2001, 283 (5-6) :342-348
[7]
Mechanism of time-delayed feedback control [J].
Just, W ;
Bernard, T ;
Ostheimer, M ;
Reibold, E ;
Benner, H .
PHYSICAL REVIEW LETTERS, 1997, 78 (02) :203-206
[8]
Controlling chemical turbulence by global delayed feedback: Pattern formation in catalytic CO oxidation on Pt(110) [J].
Kim, M ;
Bertram, M ;
Pollmann, M ;
von Oertzen, A ;
Mikhailov, AS ;
Rotermund, HH ;
Ertl, G .
SCIENCE, 2001, 292 (5520) :1357-1360
[9]
Selection of unstable patterns and control of optical turbulence by Fourier plane filtering [J].
Mamaev, AV ;
Saffman, M .
PHYSICAL REVIEW LETTERS, 1998, 80 (16) :3499-3502
[10]
Stabilization of spatiotemporally chaotic semiconductor laser arrays by means of delayed optical feedback [J].
Munkel, M ;
Kaiser, F ;
Hess, O .
PHYSICAL REVIEW E, 1997, 56 (04) :3868-3875