RECONSTRUCTING PHYSICAL VARIABLES AND PARAMETERS FROM DYNAMICAL-SYSTEMS

被引：24

作者：

PARLITZ, U

ZOLLER, R

HOLZFUSS, J

LAUTERBORN, W

机构：

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 1994年 / 4卷 / 06期

关键词：

D O I：

10.1142/S0218127494001337

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Variables and parameters of a dynamical system are recovered from a previously generated data base using the time delay reconstruction of states from a single observable. This method may be used for efficiently monitoring variables or parameters of technical systems that are difficult to access. Its application to an electronic oscillator is demonstrated experimentally.

引用

页码：1715 / 1719

页数：5

共 7 条

[1] PREDICTING PHYSICAL VARIABLES IN TIME-DELAY EMBEDDING [J].

ABARBANEL, HDI ;

CARROLL, TA ;

PECORA, LM ;

SIDOROWICH, JJ ;

TSIMRING, LS .

PHYSICAL REVIEW E, 1994, 49 (03) :1840-1853

[2]

KENNEDY MP, 1992, FREQUENZ, V46, P66, DOI 10.1515/FREQ.1992.46.3-4.66

[3]

MADAN RN, 1993, WORLD SCI SERIES NON

[4] GEOMETRY FROM A TIME-SERIES [J].

PACKARD, NH ;

CRUTCHFIELD, JP ;

FARMER, JD ;

SHAW, RS .

PHYSICAL REVIEW LETTERS, 1980, 45 (09) :712-716

[5] EMBEDOLOGY [J].

SAUER, T ;

YORKE, JA ;

CASDAGLI, M .

JOURNAL OF STATISTICAL PHYSICS, 1991, 65 (3-4) :579-616

[6] CHUA CIRCUIT - RIGOROUS RESULTS AND FUTURE-PROBLEMS [J].

SHILNIKOV, LP .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1994, 4 (03) :489-519

[7]

Takens F, 1981, LECT NOTES MATH, V898, P366, DOI DOI 10.1007/BFB0091924

← 1 →