ESTIMATION OF A LYAPUNOV-EXPONENT SPECTRUM OF PLASMA CHAOS

被引:12
作者
HUANG, W [1 ]
DING, WX [1 ]
FENG, DL [1 ]
YU, CX [1 ]
机构
[1] CHINA CTR ADV SCI & TECHNOL,WORLD LAB,BEIJING 100080,PEOPLES R CHINA
来源
PHYSICAL REVIEW E | 1994年 / 50卷 / 02期
关键词
D O I
10.1103/PhysRevE.50.1062
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 practical algorithm is presented to obtain a reliable estimation of Lyapunov exponents from a time series signal of plasma chaos. In particular, the effect of inevitable experimental noise on the computation of Lyapunov exponents has been investigated. A full Lyapunov-exponent spectrum has been achieved to confirm transition from quasiperiodicity to chaos in a plasma.
引用
收藏
页码:1062 / 1069
页数:8
相关论文
共 38 条
[1]  
Benettin G., 1980, MECCANICA, V15, P9, DOI 10.1007/BF02128236
[2]   QUASIPERIODICALLY FORCED DAMPED PENDULA AND SCHRODINGER-EQUATIONS WITH QUASIPERIODIC POTENTIALS - IMPLICATIONS OF THEIR EQUIVALENCE [J].
BONDESON, A ;
OTT, E ;
ANTONSEN, TM .
PHYSICAL REVIEW LETTERS, 1985, 55 (20) :2103-2106
[3]   AN IMPROVED METHOD FOR ESTIMATING LIAPUNOV EXPONENTS OF CHAOTIC TIME-SERIES [J].
BRIGGS, K .
PHYSICS LETTERS A, 1990, 151 (1-2) :27-32
[4]   COMPUTING THE LYAPUNOV SPECTRUM OF A DYNAMIC SYSTEM FROM AN OBSERVED TIME-SERIES [J].
BROWN, R ;
BRYANT, P ;
ABARBANEL, HDI .
PHYSICAL REVIEW A, 1991, 43 (06) :2787-2806
[5]  
Brown R., 1990, PHYS REV LETT, V65, P1523
[6]   OBSERVATIONS OF INTERMITTENT CHAOS IN PLASMAS [J].
CHEUNG, PY ;
DONOVAN, S ;
WONG, AY .
PHYSICAL REVIEW LETTERS, 1988, 61 (12) :1360-1363
[7]   CHAOTIC BEHAVIOR AND PERIOD DOUBLING IN PLASMAS [J].
CHEUNG, PY ;
WONG, AY .
PHYSICAL REVIEW LETTERS, 1987, 59 (05) :551-554
[8]   DIMENSIONS OF STRANGE NONCHAOTIC ATTRACTORS [J].
DING, MZ ;
GREBOGI, C ;
OTT, E .
PHYSICS LETTERS A, 1989, 137 (4-5) :167-172
[9]   EVOLUTION OF ATTRACTORS IN QUASIPERIODICALLY FORCED SYSTEMS - FROM QUASIPERIODIC TO STRANGE NONCHAOTIC TO CHAOTIC [J].
DING, MZ ;
GREBOGI, C ;
OTT, E .
PHYSICAL REVIEW A, 1989, 39 (05) :2593-2598
[10]  
DING WX, 1993, PHYS REV LETT, V70, P170, DOI 10.1103/PhysRevLett.70.170