EFFECTIVE DETERMINISTIC MODELS FOR CHAOTIC DYNAMICS PERTURBED BY NOISE

Authors
JAEGER L KANTZ H
Citation
L. Jaeger et H. Kantz, EFFECTIVE DETERMINISTIC MODELS FOR CHAOTIC DYNAMICS PERTURBED BY NOISE, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(5), 1997, pp. 5234-5247
Citations number
36
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
55
Issue
5
Year of publication
1997
Part
A
Pages
5234 - 5247
Database
ISI
SICI code
1063-651X(1997)55:5<5234:EDMFCD>2.0.ZU;2-6
Abstract
The possibility of representing deterministic chaotic systems perturbe d by interactive noise by a purely deterministic process with observat ional noise is discussed. We investigate the shadowing of pseudotrajec tories of a given dynamics by trajectories of a different (nearby) dyn amics. A method of constructing the effective deterministic model from observed data is presented and the relevance of this model to the obs erved data is verified by several quantities.