Papers

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2025
J. D. V. Hermes, Hansen, M., Muni, S. S., Leonel, E. D., and Caldas, I. Luiz, Analysis of invariant spanning curves in oval billiards: A numerical approach based on Slater’s theorem, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 35, no. 3, 2025. (12.24 MB)
M. Mugnaine, Viana, R. L., de Almeida, A. M. Ozorio, Elskens, Y., and Caldas, I. L., Dependence of isochronous bifurcations on the driving-mode phase shift in two-harmonic standard maps, Physical Review E, vol. 112, no. 3, 2025. (2.53 MB)
M. Mugnaine, Leal, B. B., de Almeida, A. M. Ozorio, Viana, R. L., and Caldas, I. L., Isochronous islands in the two-harmonic standard map, The European Physical Journal Special Topics, 2025. (1.33 MB)
M. Rolim Sales, de Souza, L. Costa, Borin, D., Mugnaine, M., Szezech, J. Danilo, Viana, R. Luiz, Caldas, I. Luiz, Leonel, E. Denis, and Antonopoulos, C. G., pynamicalsys: A Python toolkit for the analysis of dynamical systems, Chaos, Solitons & Fractals, vol. 201, p. 117269 , 2025. (11.75 MB)
S. T. da Silva, Milani, L. C., Gabrick, E. C., Iarosz, K. C., Viana, R. L., Caldas, I. L., and Batista, A. M., Rainfall forecast in Brazil using machine learning, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 35, no. 7, 2025. (5.7 MB)
D. Ricardo da Costa, de Paiva, L. Silva, Rocha, J. G. S., Hermes, J. D. V., Hansen, M., Viana, R. Luiz, Caldas, I. Luiz, and Medrano-T, R. O., A recursive method to find the extreme and superstable curves in the parameter space of dissipative one-dimensional mappings, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 35, no. 2, 2025. (4.11 MB)
B. B. Leal, Lazarotto, M. J., Mugnaine, M., de Almeida, A. M. Ozorio, Viana, R. L., and Caldas, I. L., Secondary shearless bifurcations for two isochronous resonant perturbations, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 35, no. 4, 2025. (5.1 MB)
M. Rolim Sales, Mugnaine, M., de Moraes, A. L. R., Leonel, E. Denis, Antonopoulos, C. G., Caldas, I. Luiz, and Szezech, J. Danilo, Transport mechanisms associated with non-integer wavenumbers in a discontinuous nontwist map, Chaos, Solitons & Fractals, vol. 200 , p. 116966, 2025. (5.75 MB)
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)

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