TOPOLOGICAL AND METRIC ANALYSIS OF HETEROCLINIC CRISIS IN LASER CHAOS

被引:37
作者
FINARDI, M [1 ]
FLEPP, L [1 ]
PARISI, J [1 ]
HOLZNER, R [1 ]
BADII, R [1 ]
BRUN, E [1 ]
机构
[1] UNIV ZURICH,INST PHYS,CH-8001 ZURICH,SWITZERLAND
关键词
D O I
10.1103/PhysRevLett.68.2989
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The power-law behavior of the average time between intermittent bursts in the NMR-laser dynamics near a heteroclinic tangency crisis is investigated. Using symbolic-dynamical techniques, new crisis-induced sequences are identified in the strange attractors reconstructed from both experimental and simulated data. Our approach provides a precise criterion for the onset of the attractor widening due to the collision of the stable and the unstable manifold belonging to different unstable periodic orbits. The results show the predictability power of our laser model.
引用
收藏
页码:2989 / 2991
页数:3
相关论文
共 15 条
[1]  
ALEKSEEV VM, 1981, PHYS REP, V75, P290
[2]   COMPLEXITY AS UNPREDICTABILITY OF THE SCALING DYNAMICS [J].
BADII, R .
EUROPHYSICS LETTERS, 1990, 13 (07) :599-604
[3]  
BADII R, 1991, CHAOS ORDER PATTERNS
[4]  
BADII R, IN PRESS PHYSICA D A
[5]   CHARACTERIZATION OF CHAOTIC SYSTEMS AT TRANSITION POINTS THROUGH DIMENSION SPECTRA [J].
BROGGI, G ;
DERIGHETTI, B ;
RAVANI, M ;
BADII, R .
PHYSICAL REVIEW A, 1989, 39 (01) :434-437
[6]   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
[7]  
BRUN E, 1983, HELV PHYS ACTA, V56, P825
[8]   EXPERIMENTAL-OBSERVATION OF CRISIS-INDUCED INTERMITTENCY AND ITS CRITICAL EXPONENT [J].
DITTO, WL ;
RAUSEO, S ;
CAWLEY, R ;
GREBOGI, C ;
HSU, GH ;
KOSTELICH, E ;
OTT, E ;
SAVAGE, HT ;
SEGNAN, R ;
SPANO, ML ;
YORKE, JA .
PHYSICAL REVIEW LETTERS, 1989, 63 (09) :923-926
[9]   ERGODIC-THEORY OF CHAOS AND STRANGE ATTRACTORS [J].
ECKMANN, JP ;
RUELLE, D .
REVIEWS OF MODERN PHYSICS, 1985, 57 (03) :617-656
[10]   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