Scaling Properties of a Hybrid Fermi-Ulam-Bouncer Model | Zendy

Diego F. M. Oliveira | Zendy; Rafael A. Bizão | Zendy; Edson D. Leonel | Zendy

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Scaling Properties of a Hybrid Fermi-Ulam-Bouncer Model

Author(s) -

Diego F. M. Oliveira,

Rafael A. Bizão,

Edson D. Leonel

Publication year - 2009

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2009/213857

Subject(s) - scaling , invariant (physics) , fermi gamma ray space telescope , chaotic , physics , statistical physics , nonlinear system , scale invariance , mathematics , geometry , condensed matter physics , quantum mechanics , computer science , artificial intelligence

Some dynamical properties for a one-dimensional hybrid Fermi-Ulam-bouncer model are studiedunder 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

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