FINDING PERIODIC POINTS FROM SHORT-TIME SERIES

Authors
ALLIE S MEES A
Citation
S. Allie et A. Mees, FINDING PERIODIC POINTS FROM SHORT-TIME SERIES, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(1), 1997, pp. 346-350
Citations number
18
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
56
Issue
1
Year of publication
1997
Part
A
Pages
346 - 350
Database
ISI
SICI code
1063-651X(1997)56:1<346:FPPFSS>2.0.ZU;2-O
Abstract
We present an algorithm for finding low-order periodic points of chaot ic maps from possibly very short time series, No information about the map other than the time series is used. The method finds all the peri odic points of a piecewise linear approximation of the map. We present examples showing the effectiveness of the method for the Henon and Ik eda maps and a chaotic electronic circuit, including a ''cycle expansi on'' calculation of the Hausdorff dimension for the Henon map.