Velocity-dependent KAM islands

Autor(es)

Egydio de Carvalho, R. ^[1] ; Vieira Abud, C. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Estadual Paulista, UNESP, IGCE, DEMAC, BR-13506900 Rio Claro, SP - Brazil

^[2] Univ Sao Paulo, Inst Fis, BR-05315970 Sao Paulo - Brazil

• Tipo de documento: Artigo Científico
• Fonte: CHAOS SOLITONS & FRACTALS; v. 44, n. 8, p. 569-573, AUG 2011.
• Citações Web of Science: 3

Resumo

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)

• Processo FAPESP: 06/51653-0 - Um modelo não-linear com toros robustos e seus efeitos na dinâmica
• Beneficiário: Ricardo Egydio de Carvalho
• Modalidade de apoio: Auxílio à Pesquisa - Regular