Crisis and hyperchaos in a simplified model of magnetoconvection

Autor(es)

Franco, Francis F. ^[1] ; Rempel, Erico L. ^[1] ; Munoz, Pablo R. ^[2]

Afiliação do(s) autor(es)

^[1] Inst Aeronaut Technol ITA, BR-12228900 Sao Jose Dos Campos, SP - Brazil

^[2] Univ La Serena, Dept Phys & Astron, Av Juan Cisternas 1200, La Serena - Chile

• Tipo de documento: Artigo Científico
• Fonte: PHYSICA D-NONLINEAR PHENOMENA; v. 406, MAY 2020.
• Citações Web of Science: 0

Resumo

In this work, a numerical study of a reduced model of magnetoconvection is presented. By considering a background magnetic field in a conducting fluid in a plane layer, a generalized Lorenz model was originally derived by Macek and Strumik (2010) and is used here to investigate transition to hyperchaos as a function of the background magnetic field. In this work a merging crisis involving the collision of two symmetric chaotic attractors with a hyperchaotic saddle is shown to give rise to a hyperchaotic attractor. A new numerical technique for showing a collision between a hyperchaotic set and a chaotic attractor in a high-dimensional phase space is introduced. (C) 2020 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 13/26258-4 - Matéria superdensa no universo
• Beneficiário: Manuel Máximo Bastos Malheiro de Oliveira
• Modalidade de apoio: Auxílio à Pesquisa - Temático