Papers

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2024
L. C. Souza, Sales, M. R., Mugnaine, M., Szezech, J. D., Caldas, I. L., and Viana, R. L., Chaotic escape of impurities and sticky orbits in toroidal plasmas, Physical Review E, vol. 109, no. 1, 2024. (7.38 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)
M. Mugnaine, Leal, B. B., Caldas, I. L., de Almeida, A. M. Ozorio, and Viana, R. L., Isochronous bifurcations in a two-parameter twist map, Physical Review E, vol. 110, no. 2, 2024. (1.61 MB)
M. Mugnaine, Caldas, I. L., Szezech, J. D., Viana, R. L., and Morrison, P. J., Shearless effective barriers to chaotic transport induced by even twin islands in nontwist systems, Physical Review E, vol. 110, no. 4, 2024. (2.02 MB)
M. Mugnaine, Caldas, I. L., Szezech, J. D., Viana, R. L., and Morrison, P. J., Shearless effective barriers to chaotic transport induced by even twin islands in nontwist systems, Physical Review E, vol. 110, no. 4, 2024. (2.02 MB)
A. S. Reis, Santos, Ldos, Jr, A. Cunha, Konstantyner, T. C. R. O., and Macau, E. E. N., Unravelling COVID-19 waves in Rio de Janeiro city: Qualitative insights from nonlinear dynamic analysis, Infectious Disease Modelling, no. 2, pp. 314 - 328, 2024. (1.2 MB)
2023
P. Haerter, de Souza, L. C., Mathias, A. C., Viana, R. L., and 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, vol. 33, no. 09, 2023. (14.09 MB)
S. R. Baroni, R. de Carvalho, E., Caldas, I. L., Viana, R. L., and Morrison, P. J., Chaotic saddles and interior crises in a dissipative nontwist system, Physical Review E, vol. 107, no. 2, 2023. (10.37 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)
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, Mugnaine, M., and Caldas, I. L., Hamiltonian description for magnetic field lines in fusion plasmas: A tutorial, Physics of Plasmas, vol. 30, no. 9, p. 090901, 2023. (1.64 MB)
M. Mugnaine, Caldas, I. L., Szezech, J. D., and Viana, R. L., Nontwist field line mapping in a tokamak with ergodic magnetic limiter, Physical Review E, vol. 108, no. 5, p. 055206, 2023. (1.7 MB)
B. R. R. Boaretto, Protachevicz, P. R., Hansen, M., Oliveira, J., Andreani, A. C., and Macau, E. E. N., Phase synchronization in a sparse network of randomly connected neurons under the effect of Poissonian spike inputs, Chaos: An Interdisciplinary Journal of Nonlinear Science, no. 12, 2023. (101.72 KB)
P. Ricardo Protachevicz, Borges, Fda Silva, Batista, A. Marcos, Baptista, Mda Silva, Caldas, I. Luiz, Macau, E. Einstein N., and Lameu, E. Luiz, Plastic neural network with transmission delays promotes equivalence between function and structure, Chaos, Solitons & Fractals, vol. 171, no. 4222, p. 113480, 2023. (3.03 MB)
M. R. Sales, Mugnaine, M., Szezech, J. D., Viana, R. L., Caldas, I. L., Marwan, N., and Kurths, Y., Stickiness and recurrence plots: An entropy-based approach, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 33, no. 3, p. 033140, 2023. (5.19 MB)
M. R. Sales, Mugnaine, M., Szezech, J. D., Viana, R. L., Caldas, I. L., Marwan, N., and Kurths, Y., Stickiness and recurrence plots: An entropy-based approach, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 33, no. 3, p. 033140, 2023. (5.19 MB)
C. F. O. Mendes, Brugnago, E. L., Beims, M. W., and Grimm, A. M., Temporal relation between human mobility, climate, and COVID-19 disease, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 33, no. 5, 2023. (1.73 MB)
2022
M. Mugnaine, Gabrick, E. C., Protachevicz, P. R., Iarosz, K. C., de Souza, S. L. T., Almeida, A. C. L., Batista, A. M., Caldas, êL., Jr, éD. Szezech, and Viana, R. L., Control attenuation and temporary immunity in a cellular automata SEIR epidemic model, Chaos, Solitons & Fractals, vol. 155, p. 111784, 2022. (8.36 MB)
M. Hansen, Protachevicz, P. R., Iarosz, K. C., Caldas, I. L., Batista, A. M., and Macau, E. E. N., Dynamics of uncoupled and coupled neurons under an external pulsed current, Chaos, Solitons & Fractals, vol. 155, p. 111734, 2022. (10.34 MB)
M. Hansen, Protachevicz, P. R., Iarosz, K. C., Caldas, I. L., Batista, A. M., and Macau, E. E. N., The effect of time delay for synchronisation suppression in neuronal networks, Chaos, Solitons & Fractals, vol. 164, p. 112690, 2022. (3.99 MB)
E. C. Gabrick, Protachevicz, P. R., Batista, A. M., Iarosz, K. C., de Souza, S. L. T., Almeida, A. C. L., Szezech, J. D., Mugnaine, M., and Caldas, I. L., Effect of two vaccine doses in the SEIR epidemic model using a stochastic cellular automaton, Physica A: Statistical Mechanics and its Applications, vol. 597, p. 127258, 2022. (1.01 MB)
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)
M. C. de Sousa, Schelin, A. B., Marcus, F. A., Viana, R. L., and Caldas, I. L., Internal energy exchanges and chaotic dynamics in an intrinsically coupled system, Physics Letters A, vol. 453, p. 128481, 2022. (4.3 MB)
M. R. Sales, Mugnaine, M., Viana, R. L., Caldas, I. L., and Szezech, J. D., Unpredictability in Hamiltonian systems with a hierarchical phase space, Physics Letters A, vol. 431, p. 127991, 2022. (1.55 MB)

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