Robust attractor of non-twist systems

Autor(es)

Egydio de Carvalho, R. ^[1] ; Vieira Abud, C. ^{[2, 3]}

Afiliação do(s) autor(es)

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

^[2] Univ Sao Paulo, Sao Paulo, SP - Brazil

^[3] UFG, Catalao, Go - Brazil

• Tipo de documento: Artigo Científico
• Fonte: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS; v. 440, p. 42-48, DEC 15 2015.
• Citações Web of Science: 1

Resumo

We present a new kind of one-dimensional attractor, which has not yet been predicted in the non-linear dynamics theory. We consider a non-linear map, which presents typical non-twist manifestations, as isochronous resonances and shearless torus. It is known that this torus corresponds to a very sturdy barrier in the phase space of some area-preserving systems. We show that when dissipation is present in the system, the shearless curve carries its robustness to the dissipative scenario. It becomes a powerful attractor, which we call shearless attractor, which is persistent under the variation of the parameters and it exchanges its stability from chaotic to quasi-periodic, or vice-versa, depending on the set of parameters. (C) 2015 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 10/20276-2 - Interferência de toros robustos na dinâmica de sistemas não-lineares
• Beneficiário: Ricardo Egydio de Carvalho
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 13/17989-5 - Fênomenos não-twist em sistemas Hamiltonianos multidimensionais
• Beneficiário: Celso Vieira Abud
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 14/00334-9 - The 7th Chaotic Modeling & Simulation International Conference - CHAOS-2014
• Beneficiário: Ricardo Egydio de Carvalho
• Modalidade de apoio: Auxílio à Pesquisa - Reunião - Exterior