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Analysis of the robustness of the shearless attractor (curve) and the quasi-periodic chaotic transition

Abstract

In recent work, I have proposed a mechanism for the formation of shearless attractors from the coalescence of three of these attractors into a single one. However, by observing the inverse process, it is possible to break the degeneracy of a given attractor and form a region with several nearby attractors. An analogous procedure is possible even in a non-dissipative context, that is, one can have a scenario with one or several shearless curves and generate a collective transport barrier, supposedly more efficient to block transport in the phase space, which is a relevant topic for investigations on plasma confinement, fluid dynamics and non-linear dynamics. The proposal of this regular project is to verify this conjecture, study the neighborhood of these shearless curves in phase space as they form or disappear, and also investigate the quasi-periodic / chaotic transition that the shearless attractors present. (AU)

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Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
FORLEVESI, M. D.; DE CARVALHO, R. EGYDIO; DE LIMA, EMANUEL F. Nonlinear photoassociation through exotic orbits. Physical Review E, v. 104, n. 1 JUL 12 2021. Web of Science Citations: 0.
MUGNAINE, MICHELE; BATISTA, ANTONIO M.; CALDAS, IBERE L.; SZEZECH JR, JOSE D.; DE CARVALHO, RICARDO EGYDIO; VIANA, RICARDO L. Curry-Yorke route to shearless attractors and coexistence of attractors in dissipative nontwist systems. Chaos, v. 31, n. 2 FEB 2021. Web of Science Citations: 1.
DE LIMA, EMANUEL F.; EGYDIO DE CARVALHO, R.; FORLEVESI, M. D. Nonchaotic laser pulse dissociation through deformed tori. Physical Review E, v. 101, n. 2 FEB 13 2020. Web of Science Citations: 0.

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