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http://hdl.handle.net/1942/3464
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DC Field | Value | Language |
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dc.contributor.author | REIMANN, Peter | - |
dc.date.accessioned | 2007-11-28T14:33:52Z | - |
dc.date.available | 2007-11-28T14:33:52Z | - |
dc.date.issued | 1996 | - |
dc.identifier.citation | JOURNAL OF STATISTICAL PHYSICS, 82(5-6). p. 1467-1501 | - |
dc.identifier.issn | 0022-4715 | - |
dc.identifier.uri | http://hdl.handle.net/1942/3464 | - |
dc.description.abstract | We 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.iso | en | - |
dc.publisher | PLENUM PUBL CORP | - |
dc.subject.other | noisy map; crisis; escape rate; scaling and universality; invariant density; transient chaos; colored noise | - |
dc.title | Noisy one-dimensional maps near a crisis .1. Weak Gaussian white and colored noise | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 1501 | - |
dc.identifier.issue | 5-6 | - |
dc.identifier.spage | 1467 | - |
dc.identifier.volume | 82 | - |
local.format.pages | 35 | - |
dc.description.notes | Reimann, P, LIMBURGS UNIV CENTRUM,UNIV CAMPUS,B-3590 DIEPENBEEK,BELGIUM. | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.bibliographicCitation.oldjcat | A1 | - |
local.class | dsPublValOverrule/internal_author_not_expected | - |
dc.identifier.doi | 10.1007/BF02183392 | - |
dc.identifier.isi | A1996TW33000011 | - |
item.fulltext | No Fulltext | - |
item.fullcitation | REIMANN, 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.contributor | REIMANN, Peter | - |
item.accessRights | Closed Access | - |
Appears in Collections: | Research publications |
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