CONTROLLING SPATIOTEMPORAL CHAOS

被引:140
作者
ARANSON, I
LEVINE, H
TSIMRING, L
机构
[1] UNIV CALIF SAN DIEGO,INST NONLINEAR SCI,LA JOLLA,CA 92093
[2] UNIV CALIF SAN DIEGO,DEPT PHYS,LA JOLLA,CA 92093
关键词
D O I
10.1103/PhysRevLett.72.2561
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A method for controlling spatiotemporal chaos in certain classes of spatially extended systems is proposed. In these systems, unstable defects emit convectively unstable waves which subsequently break and may nucleate new defects. Control is achieved via the stabilization of one such active wave source, which then sweeps all of the chaotic fluctuations to the system boundaries. This method is applied to the one- and two-dimensional complex Ginzburg-Landau equation, and to a recent model of spiral breakup in excitable media.
引用
收藏
页码:2561 / 2564
页数:4
相关论文
共 31 条
[1]  
ARANSON I, 1993, PHYS REV E, V47, P3221
[2]  
ARANSON I, 1993, IN PRESS CORE INSTAB
[3]   FORMATION OF ASYMMETRIC STATES OF SPIRAL WAVES IN OSCILLATORY MEDIA [J].
ARANSON, IS ;
KRAMER, L ;
WEBER, A .
PHYSICAL REVIEW E, 1993, 48 (01) :R9-R12
[4]   STABILITY LIMITS OF SPIRALS AND TRAVELING WAVES IN NONEQUILIBRIUM MEDIA [J].
ARANSON, IS ;
ARANSON, L ;
KRAMER, L ;
WEBER, A .
PHYSICAL REVIEW A, 1992, 46 (06) :R2992-R2995
[5]   EXPERIMENTAL-EVIDENCE OF CHAOTIC ITINERANCY AND SPATIOTEMPORAL CHAOS IN OPTICS [J].
ARECCHI, FT ;
GIACOMELLI, G ;
RAMAZZA, PL ;
RESIDORI, S .
PHYSICAL REVIEW LETTERS, 1990, 65 (20) :2531-2534
[6]   VORTICES AND DEFECT STATISTICS IN 2-DIMENSIONAL OPTICAL CHAOS [J].
ARECCHI, FT ;
GIACOMELLI, G ;
RAMAZZA, PL ;
RESIDORI, S .
PHYSICAL REVIEW LETTERS, 1991, 67 (27) :3749-3752
[7]  
AUERBACH D, 1993, IN PRESS CONTROLLING
[8]  
BAR M, 1993, PHYS REV E, V48, pR1635
[9]   A MODEL FOR FAST COMPUTER-SIMULATION OF WAVES IN EXCITABLE MEDIA [J].
BARKLEY, D .
PHYSICA D, 1991, 49 (1-2) :61-70
[10]   TRACKING UNSTABLE ORBITS IN AN EXPERIMENT [J].
CARROLL, TL ;
TRIANDAF, I ;
SCHWARTZ, I ;
PECORA, L .
PHYSICAL REVIEW A, 1992, 46 (10) :6189-6192