Poincaré Recurrences in Microtron and the Global Critical Structure

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dc.creatorChirikov, Boris
dc.date2000-06-09
dc.date.accessioned2026-07-07T05:32:53Z
dc.date.available2026-07-07T05:32:53Z
dc.descriptionThe mechanism of the exponential transient statistics of Poincaré recurrences in the presence of chaos border with its critical structure is studied using two simple models: separatrix map and the kicked rotator ('microtron'). For the exponential transient to exist the two conditions have been shown to be crucial: fast (ballistic) relaxation, and a small measure of the critical structure. The latter was found to include a new peripheral part (halo) of a surprisingly large size. First preliminary empirical evidence is presented for a new regime of Poincaré recurrences including the transition from exponential to exponential statistics.
dc.descriptionLatex 2.09, 8 figures
dc.identifierhttps://arxiv.org/abs/nlin/0006013
dc.identifierhttp://arxiv.org/abs/nlin/0006013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79816
dc.subjectChaotic Dynamics
dc.titlePoincaré Recurrences in Microtron and the Global Critical Structure
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