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, Physics letters. A, 176(6), 1993, pp. 421-427
Citations number
9
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
176
Issue
6
Year of publication
1993
Pages
421 - 427
Database
ISI
SICI code
0375-9601(1993)176:6<421:OC-DAT>2.0.ZU;2-M
Abstract
Assuming that an accurate mathematical description of the system is av ailable. a method is proposed whereby the full state vector of a chaot ic system can be reconstructed and tracked using only the time series of a single observed scalar function of the system state. Noise effect s on the procedure are investigated using as an example a kicked mecha nical system which results in a four-dimensional dissipative map.