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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.)

Velocity-dependent KAM islands

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Author(s):
Egydio de Carvalho, R. [1] ; Vieira Abud, C. [2]
Total Authors: 2
Affiliation:
[1] Univ Estadual Paulista, UNESP, IGCE, DEMAC, BR-13506900 Rio Claro, SP - Brazil
[2] Univ Sao Paulo, Inst Fis, BR-05315970 Sao Paulo - Brazil
Total Affiliations: 2
Document type: Journal article
Source: CHAOS SOLITONS & FRACTALS; v. 44, n. 8, p. 569-573, AUG 2011.
Web of Science Citations: 3
Abstract

We revisit the non-dissipative time-dependent annular billiard and we consider the chaotic dynamics in two planes of conjugate variables in order to describe the behavior of the growth, or saturation, of the mean velocity of an ensemble of particles. We observed that the changes in the 4-d phase space occur without changing any parameter. They occur depending on where the initial conditions start. The emerging KAM islands interfere in the behavior of the particle dynamics especially in the Fermi acceleration mechanism. We show that Fermi acceleration can be suppressed, without dissipation, even considering the non-dissipative energy context. (C) 2011 Published by Elsevier Ltd. (AU)