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Random perturbations and statistical properties of Henon-like maps
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2006 (English)In: Annales de l'Institut Henri Poincare. Analyse non linéar, ISSN 0294-1449, E-ISSN 1873-1430, Vol. 23, no 5, 713-752 p.Article in journal (Refereed) Published
Abstract [en]

For a large class of non-uniformly hyperbolic diffeomorphisms, we prove stochastic stability under small random noise: the unique stationary probability measure of the Markov chain converges to the Sinai-Ruelle-Bowen measure of the unperturbed attractor when the noise level tends to zero.

Place, publisher, year, edition, pages
2006. Vol. 23, no 5, 713-752 p.
Keyword [en]
dynamics, non-uniform hyperbolic, strange attractor, random perturbation, Henon map, stochastic stability, strange attractors, invariant-manifolds, flows
Identifiers
URN: urn:nbn:se:kth:diva-16043DOI: 10.1016/j.anihpc.2004.10.013ISI: 000241131100007Scopus ID: 2-s2.0-33748767114OAI: oai:DiVA.org:kth-16043DiVA: diva2:334085
Note
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2017-12-12Bibliographically approved

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