Scaling properties of a hybrid Fermi-Ulam-bouncer model
type: Item
instance of: scholarly article
title: Scaling properties of a hybrid Fermi-Ulam-bouncer model
zbMATH Open document ID: 1180.37048
DOI: 10.1155/2009/213857
author: Diego F. M. Oliveira
author: Rafael A. Bizão
author: Edson D. Leonel
published in: Mathematical Problems in Engineering
publication date: 2009-11-13T00:00:00Z
full work available at URL: https://eudml.org/doc/45807
review text: Summary: Some dynamical properties for a one-dimensional hybrid Fermi-Ulam-bouncer model are studied under the framework of scaling description. The model is described by using a two-dimensional nonlinear area preserving mapping. Our results show that the chaotic regime below the lowest energy invariant spanning curve is scaling invariant and the obtained critical exponents are used to find a universal plot for the second momenta of the average velocity.
Mathematics Subject Classification ID: 37D50
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 37N20
zbMATH DE Number: 5632449
zbMATH Keywords: Fermi-Ulam bouncer model
zbMATH Keywords: nonlinear billiard problem
zbMATH Keywords: chaotic sea
Wikidata QID: Q58648915
MaRDI profile type: Publication
OpenAlex ID: W2005376986
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description: scientific article; zbMATH DE number 5632449