Deterministic Brownian Motion: The Effects of Perturbing a Dynamical System by a Chaotic Semi-Dynamical System

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dc.creatorMackey, Michael C.
dc.creatorTyran-Kaminska, Marta
dc.date2004-08-13
dc.date.accessioned2026-07-07T09:32:29Z
dc.date.available2026-07-07T09:32:29Z
dc.descriptionHere we review and extend central limit theorems for highly chaotic but deterministic semi-dynamical discrete time systems. We then apply these results show how Brownian motion-like results are recovered, and how an Ornstein-Uhlenbeck process results within a totally deterministic framework. These results illustrate that the contamination of experimental data by "noise" may, under certain circumstances, be alternately interpreted as the signature of an underlying chaotic process.
dc.description65 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0408330
dc.identifierhttp://arxiv.org/abs/cond-mat/0408330
dc.identifierPhys. Rep. 422 (2006), no. 5, 167--222
dc.identifierdoi:10.1016/j.physrep.2005.09.002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158797
dc.subjectStatistical Mechanics
dc.titleDeterministic Brownian Motion: The Effects of Perturbing a Dynamical System by a Chaotic Semi-Dynamical System
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