CONTROL OF NMR-LASER CHAOS IN HIGH-DIMENSIONAL EMBEDDING SPACE

被引:63
作者
REYL, C [1 ]
FLEPP, L [1 ]
BADII, R [1 ]
BRUN, E [1 ]
机构
[1] PAUL SCHERRER INST,CH-5232 VILLIGEN,SWITZERLAND
来源
PHYSICAL REVIEW E | 1993年 / 47卷 / 01期
关键词
D O I
10.1103/PhysRevE.47.267
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
The unstable periodic orbits of a chaotic NMR laser have been identified and classified according to their stability properties. The dynamical control method by Ott, Grebogi, and Yorke (OGY) [Phys. Rev. Lett. 64, 1196 (1990)] has been successfully applied in a six-dimensional embedding space, as required for a proper reconstruction of the attractors. An improved method has then been implemented in order to circumvent the occurrence of several, possibly complex, unstable eigenvalues in the standard OGY procedure and has shown superior performance. Finally, an extension to several control stations per Poincare time is discussed.
引用
收藏
页码:267 / 272
页数:6
相关论文
共 17 条
[1]  
[Anonymous], 1988, EVOLUTION LEARNING C
[2]   CONTROLLING CHAOS IN SPIN-WAVE INSTABILITIES [J].
AZEVEDO, A ;
REZENDE, SM .
PHYSICAL REVIEW LETTERS, 1991, 66 (10) :1342-1345
[3]  
BROGGI C, 1988, THESIS U ZURICH
[4]   OBSERVATION OF ORDER AND CHAOS IN A NUCLEAR-SPIN FLIP LASER [J].
BRUN, E ;
DERIGHETTI, B ;
MEIER, D ;
HOLZNER, R ;
RAVANI, M .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 1985, 2 (01) :156-167
[5]   EXPERIMENTAL CONTROL OF CHAOS [J].
DITTO, WL ;
RAUSEO, SN ;
SPANO, ML .
PHYSICAL REVIEW LETTERS, 1990, 65 (26) :3211-3214
[6]   CONTROLLING CHAOS USING TIME-DELAY COORDINATES [J].
DRESSLER, U ;
NITSCHE, G .
PHYSICAL REVIEW LETTERS, 1992, 68 (01) :1-4
[7]   MODEL IDENTIFICATION BY PERIODIC-ORBIT ANALYSIS FOR NMR-LASER CHAOS [J].
FLEPP, L ;
HOLZNER, R ;
BRUN, E ;
FINARDI, M ;
BADII, R .
PHYSICAL REVIEW LETTERS, 1991, 67 (17) :2244-2247
[8]  
HENN R, 1992, 26TH P C AMP MAGN RE
[9]   RESONANT STIMULATION AND CONTROL OF NONLINEAR OSCILLATORS [J].
HUBLER, A ;
LUSCHER, E .
NATURWISSENSCHAFTEN, 1989, 76 (02) :67-69
[10]  
JACKSON EA, 1990, PHYSICA D, V44, P407, DOI 10.1016/0167-2789(90)90155-I