COMPUTATION OF LYAPUNOV SPECTRA - EFFECT OF INTERACTIVE NOISE AND APPLICATION TO A CHEMICAL OSCILLATOR

被引：44

作者：

KRUEL, TM ^{[1
]}

EISWIRTH, M ^{[1
]}

SCHNEIDER, FW ^{[1
]}

机构：

[1] MAX PLANCK GESELL,FRITZ HABER INST,W-1000 BERLIN 33,GERMANY

来源：

PHYSICA D | 1993年 / 63卷 / 1-2期

关键词：

D O I：

10.1016/0167-2789(93)90150-Y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A refined version of the Sano-Sawada algorithm to compute Lyapunov spectra has been implemented and tested with several models, which include periodic, chaotic and hyperchaotic attractors, under conditions designed to mimic experimental situations. It was found that reliable Lyapunov exponents can be obtained for time series of moderate length and point density, also in the presence of interactive noise as long as its amplitude does not exceed almost-equal-to 1% of the oscillation amplitude. The algorithm was then applied to experimental data from the CO oxidation on Pt(110), clearly showing the occurrence of chaos as well as hyperchaos.

引用

页码：117 / 137

页数：21

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