On Slater's criterion for the breakup of invariant curves

Autor(es)

Abud, C. V. ^[1] ; Caldas, I. L. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Fis, BR-05315970 Sao Paulo, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: PHYSICA D-NONLINEAR PHENOMENA; v. 308, p. 34-39, JUL 15 2015.
• Citações Web of Science: 1

Resumo

We numerically explore Slater's theorem in the context of dynamical systems to study the breakup of invariant curves. Slater's theorem states that an irrational translation over a circle returns to an arbitrary interval in at most three different recurrence times expressible by the continued fraction expansion of the related irrational number. The hypothesis considered in this paper is that Slater's theorem can be also verified in the dynamics of invariant curves. Hence, we use Slater's theorem to develop a qualitative and quantitative numerical approach to determine the breakup of invariant curves in the phase space of area-preserving maps. (C) 2015 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 11/19296-1 - Dinâmica não linear
• Beneficiário: Iberê Luiz Caldas
• Linha de fomento: Auxílio à Pesquisa - Temático
• Processo FAPESP: 13/17989-5 - Fênomenos não-twist em sistemas Hamiltonianos multidimensionais
• Beneficiário: Celso Vieira Abud
• Linha de fomento: Bolsas no Brasil - Pós-Doutorado