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

• Grant number: 19/07329-4
• Support Opportunities: Regular Research Grants
• Duration: July 01, 2019 - June 30, 2021
• Field of knowledge: Physical Sciences and Mathematics - Physics - General Physics
• Principal Investigator: Ricardo Egydio de Carvalho
• Grantee: Ricardo Egydio de Carvalho
• Host Institution: Instituto de Geociências e Ciências Exatas (IGCE). Universidade Estadual Paulista (UNESP). Campus de Rio Claro. Rio Claro , SP, Brazil

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)

Scientific publications

(10)

(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)

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. (19/07329-4, 18/03211-6)

CARITA, G. A.; SIGNOR, A. C.; MORAIS, M. H. M.; DE CARVALHO, R. EGYDIO; PRADO, A. F. B. A.. Retrograde resonances at high mass ratio in the circular restricted 3-body problem. NONLINEAR DYNAMICS, v. 111, n. 18, p. 15-pg., 2023-08-09. (21/11982-5, 22/08716-4, 19/07329-4, 16/24561-0)

DE OLIVEIRA, JULIANO A.; DE MENDONCA, HANS M. J.; FAVARIM, VITOR A.; DE CARVALHO, R. EGYDIO; LEONEL, EDSON D.. Boundary crises and supertrack orbits in the Gauss map. European Physical Journal-Special Topics, v. 231, n. 3, p. 4-pg., 2022-01-25. (21/09519-5, 12/23688-5, 19/07329-4, 18/14685-9, 15/22062-3, 19/14038-6)

DE SOUZA, L. F. BERNARDI; DE CARVALHOA, R. EGYDIO; CALDAS, I. L.. Transport barriers for two modes drift wave map. Physics Letters A, v. 444, p. 7-pg., 2022-06-07. (18/03211-6, 19/07329-4)

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, p. 12-pg., 2021-02-01. (18/03211-6, 19/07329-4)

SIMILE BARONI, R.; EGYDIO DE CARVALHO, R.; CALDAS, I. L.; VIANA, R. L.; MORRISON, P. J.. Chaotic saddles and interior crises in a dissipative nontwist system. PHYSICAL REVIEW E, v. 107, n. 2, p. 14-pg., 2023-02-24. (22/04251-7, 19/07329-4)

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. (14/23648-9, 19/07329-4)

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. (19/07329-4)

FORLEVESI, M. D.; DE CARVALHO, R. EGYDIO; DE LIMA, EMANUEL F.. Lagrangian descriptor and escape time as tools to investigate the dynamics of laser-driven polar molecules. PHYSICAL REVIEW E, v. 107, n. 2, p. 7-pg., 2023-02-17. (14/23648-9, 19/07329-4)

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, p. 8-pg., 2020-02-13. (14/23648-9, 19/07329-4)