Papers

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A. C. Mathias, Mugnaine, M., Santos, M. S., Szezech, J. D., Caldas, I. L., and Viana, R. L., Fractal structures in the parameter space of nontwist area-preserving maps, Physical Review E, vol. 100, no. 5, 2019. (2.08 MB)
A. C. Mathias, Mugnaine, M., Santos, M. S., Szezech, J. D., Caldas, I. L., and Viana, R. L., Fractal structures in the parameter space of nontwist area-preserving maps, Physical Review E, vol. 100, no. 5, 2019. (2.08 MB)
E. E. D. E. S. O. U. Z. A. FILHO, MATHIAS, A. C., Caldas, I. L., and Viana, R. L., Fractal structures in the deflection of light by a pair of Schwarzschild black holes, Indian Academy of Sciences Conference Series, vol. 3, 2020.
A. C. Mathias, Viana, R. L., Kroetz, T., and Caldas, I. L., Fractal structures in the chaotic motion of charged particles in a magnetized plasma under the influence of drift waves, Physica A: Statistical Mechanics and its Applications, vol. 469, pp. 681 - 694, 2017. (6.98 MB)
R. L. Viana, Mathias, A. C., Souza, L. C., and Haerter, P., Fractal structures in the chaotic advection of passive scalars in leaky planar hydrodynamical flows, Chaos: An Interdisciplinary Journal of Nonlinear Science, no. 5, 2024. (75.02 KB)
A. C. Mathias, Perotto, G., Viana, R. L., Schelin, A., and Caldas, I. L., Fractal Structures and Magnetic Footprints in a Divertor Tokamak, International Journal of Bifurcation and Chaos, vol. 32, no. 06, 2022. (11.46 MB)
A. C. Mathias, Souza, L. C., Schelin, A. R., Caldas, I. L., and Viana, R. L., Fractal Escape Basins for Magnetic Field Lines in Fusion Plasma Devices, Journal of Applied Nonlinear Dynamics, vol. 12, no. 4, pp. 723 - 738, 2023. (1.43 MB)
R. L. Viana, Mathias, A. C., Marcus, F. A., Kroetz, T., and Caldas, I. L., Fractal boundaries in chaotic hamiltonian systems, Journal of Physics: Conference Series, vol. 911, p. 012002, 2017. (3.79 MB)
R. L. Viana, Mathias, A. C., Marcus, F. A., Kroetz, T., and Caldas, I. L., Fractal boundaries in chaotic hamiltonian systems, Journal of Physics: Conference Series, vol. 911, p. 012002, 2017. (3.79 MB)
L. C. Souza, Mathias, A. C., Caldas, I. L., Elskens, Y., and Viana, R. L., Fractal and Wada escape basins in the chaotic particle drift motion in tokamaks with electrostatic fluctuations, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 33, no. 8, 2023. (7.63 MB)
J. D. Szezech, Schelin, A. B., Caldas, I. L., Lopes, S. R., Morrison, P. J., and Viana, R. L., Finite-time rotation number: A fast indicator for chaotic dynamical structures, Physics Letters A, vol. 377, no. 6, pp. 452 - 456, 2013. (1.02 MB)
J. D. Szezech, Schelin, A. B., Caldas, I. L., Lopes, S. R., Morrison, P. J., and Viana, R. L., Finite-time rotation number: A fast indicator for chaotic dynamical structures, Physics Letters A, vol. 377, no. 6, pp. 452 - 456, 2013. (1.02 MB)
J. D. Szezech, Schelin, A. B., Caldas, I. L., Lopes, S. R., Morrison, P. J., and Viana, R. L., Finite-time rotation number: A fast indicator for chaotic dynamical structures, Physics Letters A, vol. 377, no. 6, pp. 452 - 456, 2013. (1.02 MB)
R. O. Medrano-T, Moura, A., Tél, T., Caldas, I. L., and Grebogi, C., Finite-size particles, advection, and chaos: A collective phenomenon of intermittent bursting, Physical Review E, vol. 78, no. 5, 2008. (12.15 MB)
R. O. Medrano-T, Moura, A., Tél, T., Caldas, I. L., and Grebogi, C., Finite-size particles, advection, and chaos: A collective phenomenon of intermittent bursting, Physical Review E, vol. 78, no. 5, 2008. (12.15 MB)

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