Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/3464
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dc.contributor.authorREIMANN, Peter-
dc.date.accessioned2007-11-28T14:33:52Z-
dc.date.available2007-11-28T14:33:52Z-
dc.date.issued1996-
dc.identifier.citationJOURNAL OF STATISTICAL PHYSICS, 82(5-6). p. 1467-1501-
dc.identifier.issn0022-4715-
dc.identifier.urihttp://hdl.handle.net/1942/3464-
dc.description.abstractWe study one-dimensional single-humped maps near the boundary crisis at fully developed chaos in the presence of additive weak Gaussian white noise. By means of a new perturbation-like method the quasi-invariant density is calculated from the invariant density at the crisis in the absence of noise. In the precritical regime, where the deterministic map may show periodic windows, a necessary and sufficient condition for the validity of this method is derived. From the quasi-invariant density we determine the escape rate, which has the form of a scaling law and compares excellently with results from numerical simulations. We find that deterministic transient chaos is stabilized by weak noise whenever the maximum of the map is of order z > 1. Finally, we extend our method to more general maps near a boundary crisis and to multiplicative as well as colored weak Gaussian noise. Within this extended class of noises and for single-humped maps with any fixed order z > 0 of the maximum, in the scaling law for the escape rate both the critical exponents and the scaling function are universal.-
dc.language.isoen-
dc.publisherPLENUM PUBL CORP-
dc.subject.othernoisy map; crisis; escape rate; scaling and universality; invariant density; transient chaos; colored noise-
dc.titleNoisy one-dimensional maps near a crisis .1. Weak Gaussian white and colored noise-
dc.typeJournal Contribution-
dc.identifier.epage1501-
dc.identifier.issue5-6-
dc.identifier.spage1467-
dc.identifier.volume82-
local.format.pages35-
dc.description.notesReimann, P, LIMBURGS UNIV CENTRUM,UNIV CAMPUS,B-3590 DIEPENBEEK,BELGIUM.-
local.type.refereedRefereed-
local.type.specifiedArticle-
dc.bibliographicCitation.oldjcatA1-
dc.identifier.doi10.1007/BF02183392-
dc.identifier.isiA1996TW33000011-
item.fulltextNo Fulltext-
item.contributorREIMANN, Peter-
item.fullcitationREIMANN, Peter (1996) Noisy one-dimensional maps near a crisis .1. Weak Gaussian white and colored noise. In: JOURNAL OF STATISTICAL PHYSICS, 82(5-6). p. 1467-1501.-
item.accessRightsClosed Access-
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