OBSERVATIONAL NOISE IN SKEW PRODUCT SYSTEMS

Authors
CAMPBELL KM
Citation
Km. Campbell, OBSERVATIONAL NOISE IN SKEW PRODUCT SYSTEMS, Physica. D, 107(1), 1997, pp. 43-56
Citations number
26
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Physica. D → ACNP
ISSN journal
01672789
Volume
107
Issue
1
Year of publication
1997
Pages
43 - 56
Database
ISI
SICI code
0167-2789(1997)107:1<43:ONISPS>2.0.ZU;2-P
Abstract
In this paper we consider the effects of noise in the slaved subsystem in a skew product system. The noise is constrained to be sufficiently small such that the dynamics cannot leave the absorbing set. We find strict bounds on the asymptotic size of the noise, in terms of the beh aviour of the forcing system and offer numerical evidence that these b ounds are achieved.