USING NEURAL NETS TO LOOK FOR CHAOS

被引：34

作者：

ALBANO, AM ^{[1
]}

PASSAMANTE, A ^{[1
]}

HEDIGER, T ^{[1
]}

FARRELL, ME ^{[1
]}

机构：

[1] USN,AIR WARFARE CTR,WARMINSTER,PA 18974

来源：

PHYSICA D | 1992年 / 58卷 / 1-4期

关键词：

D O I：

10.1016/0167-2789(92)90098-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Backpropapting neural networks are used to reconstruct the attractors of two low-dimensional chaotic systems using small input sets of noise-corrupted data. The nets are able to reconstruct attractors that are visually similar to, and have the same correlation dimensions as, attractors constructed from noise-free data.

引用

页码：1 / 9

页数：9

共 21 条

[1]

ABRAHAM NB, 1989, MEASURES COMPLEXITY

[2] SINGULAR-VALUE DECOMPOSITION AND THE GRASSBERGER-PROCACCIA ALGORITHM [J].

ALBANO, AM ;

MUENCH, J ;

SCHWARTZ, C ;

MEES, AI ;

RAPP, PE .

PHYSICAL REVIEW A, 1988, 38 (06) :3017-3026

[3] DIMENSION INCREASE IN FILTERED CHAOTIC SIGNALS [J].

BADII, R ;

BROGGI, G ;

DERIGHETTI, B ;

RAVANI, M ;

CILIBERTO, S ;

POLITI, A ;

RUBIO, MA .

PHYSICAL REVIEW LETTERS, 1988, 60 (11) :979-982

[4]

Beale R, 1990, NEURAL COMPUTING INT

[5] EXTRACTING QUALITATIVE DYNAMICS FROM EXPERIMENTAL-DATA [J].

BROOMHEAD, DS ;

KING, GP .

PHYSICA D, 1986, 20 (2-3) :217-236

[6]

CASWELL WE, 1986, DIMENSIONS ENTROPIES

[7] CHAOS IN DIGITAL-FILTERS [J].

CHUA, LO ;

LIN, T .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (06) :648-658

[8]

DEGROOT C, 1992, PHYSICA D, V58, P1

[9] ESTIMATION OF THE KOLMOGOROV-ENTROPY FROM A CHAOTIC SIGNAL [J].

GRASSBERGER, P ;

PROCACCIA, I .

PHYSICAL REVIEW A, 1983, 28 (04) :2591-2593

[10] CHARACTERIZATION OF STRANGE ATTRACTORS [J].

GRASSBERGER, P ;

PROCACCIA, I .

PHYSICAL REVIEW LETTERS, 1983, 50 (05) :346-349

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