Crisis and hyperchaos in a simplified model of magnetoconvection

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Author(s):	Franco, Francis F. ^[1] ; Rempel, Erico L. ^[1] ; Munoz, Pablo R. ^[2] Total Authors: 3
Affiliation:	^[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 Total Affiliations: 2
Document type:	Journal article
Source:	PHYSICA D-NONLINEAR PHENOMENA; v. 406, MAY 2020.
Web of Science Citations:	0
Abstract
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)

FAPESP's process:	13/26258-4 - Superdense matter in the universe
Grantee:	Manuel Máximo Bastos Malheiro de Oliveira
Support Opportunities:	Research Projects - Thematic Grants