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Fractal Structures in Plasma Physics

Grant number: 22/04251-7
Support Opportunities:Research Grants - Visiting Researcher Grant - Brazil
Duration: June 01, 2022 - March 31, 2023
Field of knowledge:Physical Sciences and Mathematics - Physics - Physics of Fluids, Plasma Physics and Electrical Discharge
Principal Investigator:Iberê Luiz Caldas
Grantee:Iberê Luiz Caldas
Visiting researcher: Ricardo Luiz Viana
Visiting researcher institution: Universidade Federal do Paraná (UFPR). Setor de Ciências Exatas (SCE), Brazil
Host Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Associated research grant:18/03211-6 - Non linear dynamics, AP.TEM


Non-integrable Hamiltonian systems typically present chaotic orbits, due to the existence of homoclinic tangles. One of the consequences is the occurrence of fractal structures, like escape basins in open systems. There are several problems of interest in Plasma Physics which can be described by open non-integrable Hamiltonian systems, and which present fractal structures in escape basins. In this project we investigate the occurrence of fractal structures in two types of problems: (i) magnetic field line structure in Tokamaks with divertors; (ii) ExB drift motion of charged particles in magnetized plasmas. The characterization of the fractality of these structures is done with quantifiers like uncertainty dimension, basin entropy, and Wada property. We also consider the consequences of fractal structures in the chaotic transport of particles in plasmas confined in Tokamaks. (AU)

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Scientific publications (12)
(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)
SAYARI, ELAHEH; DA SILVA, SIDNEY T.; IAROSZ, KELLY C.; VIANA, RICARDO L.; SZEZECH JR, JOSE D.; BATISTA, ANTONIO M.. Prediction of fluctuations in a chaotic cancer model using machine learning. CHAOS SOLITONS & FRACTALS, v. 164, p. 6-pg., . (22/04251-7)
HAERTER, P.; DE SOUZA, L. C.; MATHIAS, A. C.; VIANA, R. L.; CALDAS, I. L.. Basin Entropy and Wada Property of Magnetic Field Line Escape in Toroidal Plasmas with Reversed Shear. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, v. 33, n. 09, p. 12-pg., . (22/04251-7, 18/03211-6)
GRIME, G. C.; ROBERTO, M.; VIANA, R. L.; ELSKENS, Y.; CALDAS, I. L.. Shearless bifurcations in particle transport for reversed-shear tokamaks. JOURNAL OF PLASMA PHYSICS, v. 89, n. 1, p. 19-pg., . (22/04251-7, 18/03211-6, 22/05667-2)
DE SOUSA, M. C.; SCHELIN, A. B.; MARCUS, F. A.; VIANA, R. L.; CALDAS, I. L.. Internal energy exchanges and chaotic dynamics in an intrinsically coupled system. Physics Letters A, v. 453, p. 5-pg., . (15/05186-0, 22/04251-7, 18/03211-6)
REIS, A. S.; BRUGNAGO, E. L.; VIANA, R. L.; BATISTA, A. M.; IAROSZ, K. C.; FERRARI, F. A. S.; CALDAS, I. L.. The role of the fitness model in the suppression of neuronal synchronous behavior with three-stage switching control in clustered networks. CHAOS SOLITONS & FRACTALS, v. 167, p. 10-pg., . (21/12232-0, 22/04251-7, 18/03211-6)
CZAJKOWSKI, BRUNO M.; BATISTA, CARLOS A. S.; VIANA, RICARDO L.. Synchronization of phase oscillators with chemical coupling: Removal of oscillators and external feedback control. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v. 610, p. 12-pg., . (22/04251-7)
MARGHOTI, GABRIEL; FERRARI, FABIANO ALAN SERAFIM; VIANA, RICARDO LUIZ; LOPES, SERGIO ROBERTO; PRADO, THIAGO DE LIMA. Coupling Dependence on Chaos Synchronization Process in a Network of Rulkov Neurons. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, v. 33, n. 11, p. 13-pg., . (22/04251-7)
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., . (22/04251-7, 19/07329-4)
GRIME, GABRIEL C.; ROBERTO, MARISA; VIANA, RICARDO L.; ELSKENS, YVES; CALDAS, IBERE L.. Biquadratic nontwist map: a model for shearless bifurcations. CHAOS SOLITONS & FRACTALS, v. 169, p. 8-pg., . (22/05667-2, 22/04251-7, 18/03211-6)
OSORIO-QUIROGA, L. A.; GRIME, G. C.; ROBERTO, M.; VIANA, R. L.; ELSKENS, Y.; CALDAS, I. L.. E x B Drift Particle Transport in Tokamaks. Brazilian Journal of Physics, v. 53, n. 4, p. 11-pg., . (22/05667-2, 20/01399-8, 22/08699-2, 22/04251-7, 18/03211-6)
HAERTER, PEDRO; VIANA, RICARDO L.. Synchronization of Phase Oscillators Due to Nonlocal Coupling Mediated by the Slow Diffusion of a Substance. Brazilian Journal of Physics, v. 53, n. 4, p. 8-pg., . (22/04251-7)
SALES, MATHEUS R.; MUGNAINE, MICHELE; SZEZECH, JOSE D., JR.; VIANA, RICARDO L.; CALDAS, IBERE L.; MARWAN, NORBERT; KURTHS, JUERGEN. Stickiness and recurrence plots: An entropy-based approach. Chaos, v. 33, n. 3, p. 10-pg., . (22/04251-7, 18/03211-6)

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