TIME-SERIES ANALYSIS OF TRANSIENT CHAOS

被引:33
作者
JANOSI, IM [1 ]
TEL, T [1 ]
机构
[1] EOTVOS LORAND UNIV, INST THEORET PHYS, H-1088 BUDAPEST, HUNGARY
来源
PHYSICAL REVIEW E | 1994年 / 49卷 / 04期
关键词
D O I
10.1103/PhysRevE.49.2756
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 time-series analysis method of transient chaos is worked out which can also be applied to signals of laboratory experiments. The process is based on the construction of a long artificial time series obtained by gluing pieces of many transiently chaotic signals together. This artificial signal represents a long-time motion in the vicinity of the nonattracting chaotic set. Thus all of the well-known numerical methods developed for analyzing permanent chaotic behavior are applicable in a more convenient way than using many short separated time-series pieces. The method is illustrated and its validity is checked by the Henon map. The nonattracting strange set is reconstructed in the presence of both a periodic and a chaotic attractor, and quantitative characteristics such as dimensions and Lyapunov exponents are determined by means of time-delay embedding methods.
引用
收藏
页码:2756 / 2763
页数:8
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