Effective noise of the Lorenz attractor

dc.contributor.author	Nicolis, C.
dc.contributor.author	Nicolis, G.
dc.date	1986
dc.date.accessioned	2017-06-16T11:51:52Z
dc.date.available	2017-06-16T11:51:52Z
dc.identifier.uri	https://orfeo.belnet.be/handle/internal/5831
dc.description	The Lorenz equations are cast in the form of a single stochastic differential equation in which a ''deterministic'' part representing a bistable dynamical system is forced by a ''noise'' process. The properties of this effective noise are analyzed numerically. An analytically derived fluctuation-dissipation-like relationship linking the variance of the noise to the system's parameters provides a satisfactory fitting of the numerical results. The connection between the onset of chaotic dynamics and the breakdown of the separation between the characteristic time scales of the variables of the original system is discussed.
dc.language	eng
dc.title	Effective noise of the Lorenz attractor
dc.type	Article
dc.subject.frascati	Physical sciences
dc.audience	Scientific
dc.source.title	Physical Review A
dc.source.volume	34
dc.source.issue	3
dc.source.page	2384-2390
Orfeo.peerreviewed	Yes
dc.identifier.doi	10.1103/PhysRevA.34.2384
dc.identifier.scopus	2-s2.0-0011702684