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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Dynamical and statistical properties of a rotating oval billiard

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Author(s):
da Costa, Diogo Ricardo [1, 2] ; Oliveira, Diego F. M. [3] ; Leonel, Edson D. [3, 4]
Total Authors: 3
Affiliation:
[1] Univ Sao Paulo, Inst Fis, BR-05314970 Sao Paulo - Brazil
[2] Univ Bristol, Sch Math, Bristol BS8 1TW, Avon - England
[3] Univ Estadual Paulista, UNESP, Dept Fis, BR-13506900 Rio Claro, SP - Brazil
[4] Abdus Salam Int Ctr Theoret Phys, I-34151 Trieste - Italy
Total Affiliations: 4
Document type: Journal article
Source: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION; v. 19, n. 6, p. 1926-1934, JUN 2014.
Web of Science Citations: 0
Abstract

Some dynamical and statistical properties of a time-dependent rotating oval billiard are studied. We considered cases with (i) positive and (ii) negative curvature for the boundary. For (i) we show the system does not present unlimited energy growth. For case (ii) however the average velocity for an ensemble of noninteracting particles grows as a power law with acceleration exponent well defined. Finally, we show for both cases that after introducing time-dependent perturbation, the mixed structure of the phase space observed for static case is recovered by making a suitable transformation in the angular position of the particle. (C) 2013 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 12/18962-0 - Transport, escape of particles and dynamical properties of some non-linear mappings
Grantee:Diogo Ricardo da Costa
Support type: Scholarships abroad - Research Internship - Doctorate
FAPESP's process: 13/01449-1 - Statistical and dynamical properties of time-dependent systems
Grantee:Edson Denis Leonel
Support type: Research Grants - Visiting Researcher Grant - International
FAPESP's process: 12/23688-5 - Exponents and scaling laws, phase transitions and transport properties of time dependent systems
Grantee:Edson Denis Leonel
Support type: Regular Research Grants