CONTROLLING UNSTABLE PERIODIC-ORBITS BY A DELAYED CONTINUOUS FEEDBACK

被引:153
作者
BIELAWSKI, S
DEROZIER, D
GLORIEUX, P
机构
[1] Laboratoire de Spectroscopie Hertzienne, Université des Sciences et Technologies de Lille
来源
PHYSICAL REVIEW E | 1994年 / 49卷 / 02期
关键词
D O I
10.1103/PhysRevE.49.R971
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
A method is presented for stabilizing unstable periodic orbits of a dynamical system by applying continuous feedback on a control parameter. The feedback signal is proportional to the difference between two values of a dynamical variable, separated by a time equal to the unstable orbit periodicity. This method has been checked numerically and experimentally on the control of the unstable orbits of a CO2 laser with modulated losses.
引用
收藏
页码:R971 / R974
页数:4
相关论文
共 18 条
[1]   EXPERIMENTAL-EVIDENCE OF SUB-HARMONIC BIFURCATIONS, MULTISTABILITY, AND TURBULENCE IN A Q-SWITCHED GAS-LASER [J].
ARECCHI, FT ;
MEUCCI, R ;
PUCCIONI, G ;
TREDICCE, J .
PHYSICAL REVIEW LETTERS, 1982, 49 (17) :1217-1220
[2]  
Berge P., 1991, ORDER CHAOS
[3]   EXPERIMENTAL CHARACTERIZATION OF UNSTABLE PERIODIC-ORBITS BY CONTROLLING CHAOS [J].
BIELAWSKI, S ;
DEROZIER, D ;
GLORIEUX, P .
PHYSICAL REVIEW A, 1993, 47 (04) :R2492-R2495
[4]   STABILIZATION AND CHARACTERIZATION OF UNSTABLE STEADY-STATES IN A LASER [J].
BIELAWSKI, S ;
BOUAZAOUI, M ;
DEROZIER, D ;
GLORIEUX, P .
PHYSICAL REVIEW A, 1993, 47 (04) :3276-3279
[5]  
BIELAWSKI S, 1993, P SPIE
[6]  
CAROLL TL, 1992, PHYS REV A, V46, P6189
[7]   CHAOS IN A CO2-LASER WITH MODULATED PARAMETERS - EXPERIMENTS AND NUMERICAL SIMULATIONS [J].
DANGOISSE, D ;
GLORIEUX, P ;
HENNEQUIN, D .
PHYSICAL REVIEW A, 1987, 36 (10) :4775-4791
[8]   COMMUNICATING WITH CHAOS [J].
HAYES, S ;
GREBOGI, C ;
OTT, E .
PHYSICAL REVIEW LETTERS, 1993, 70 (20) :3031-3034
[9]   STABILIZATION OF UNSTABLE STATIONARY STATES IN OPTICAL BISTABILITY [J].
MACKE, B ;
ZEMMOURI, J ;
FETTOUHI, NE .
PHYSICAL REVIEW A, 1993, 47 (03) :R1609-R1611
[10]   CONTROLLING CHAOS TO GENERATE APERIODIC ORBITS [J].
MEHTA, NJ ;
HENDERSON, RM .
PHYSICAL REVIEW A, 1991, 44 (08) :4861-4865