OBSERVING CHAOS - DEDUCING AND TRACKING THE STATE OF A CHAOTIC SYSTEMFROM LIMITED OBSERVATION

Authors
SO P OTT E DAYAWANSA WP
Citation
P. So et al., OBSERVING CHAOS - DEDUCING AND TRACKING THE STATE OF A CHAOTIC SYSTEMFROM LIMITED OBSERVATION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49(4), 1994, pp. 2650-2660
Citations number
9
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
49
Issue
4
Year of publication
1994
Part
A
Pages
2650 - 2660
Database
ISI
SICI code
1063-651X(1994)49:4<2650:OC-DAT>2.0.ZU;2-H
Abstract
A method is proposed whereby the full state vector of a chaotic system can be reconstructed and tracked using only the time series of a sing le observed scalar. It is assumed that an accurate mathematical descri ption of the system is available. Noise effects on the procedure are i nvestigated using as an example a kicked mechanical system which resul ts in a four-dimensional dissipative map.