Papers

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M. Roberto, da Silva, E. C., Caldas, I. L., and Viana, R. L., “Magnetic trapping caused by resonant perturbations in tokamaks with reversed magnetic shear”, Physics of Plasmas, vol. 11, no. 1, pp. 214 - 225, 2004. (2.08 MB)
F. F. de Carvalho, Viana, R. L., and Caldas, I. L., “Magnetohydrostatic Equilibrium with External Gravitational Fields in Symmetric Systems”, Brazilian Journal of Physics, 2016. (3.97 MB)
R. D. Vilela and de Oliveira, V. M., “A map for heavy inertial particles in fluid flows”, The European Physical Journal Special Topics, vol. 226, pp. 2079–2088, 2017. (864.04 KB)
V. M. de Oliveira, Palmero, M. S., and Caldas, I. L., “Measure, dimension, and complexity of the transient motion in Hamiltonian systems”, Physica D: Nonlinear Phenomena, vol. 431, p. 133126, 2022. (12.45 MB)
M. C. de Sousa, Caldas, I. L., de Almeida, A. M. Ozorio, Rizzato, F. B., and Pakter, R., “Multiple island chains in wave-particle interactions”, Journal of Physics: Conference Series, vol. 641, p. 012003, 2015. (851.24 KB)
M. C. de Sousa, Caldas, I. L., de Almeida, A. M. Ozorio, Rizzato, F. B., and Pakter, R., “Multiple island chains in wave-particle interactions”, Journal of Physics: Conference Series, vol. 641, p. 012003, 2015. (851.24 KB)
S. L. T. de Souza, Caldas, I. L., and Viana, R. L., “Multistability and Self-Similarity in the Parameter-Space of a Vibro-Impact System”, Mathematical Problems in Engineering, vol. 2009464610, no. 5, pp. 1 - 11, 2009. (6.7 MB)
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S. L. T. de Souza, Caldas, I. L., Viana, R. L., Batista, A. Marcos, and Kapitaniak, T., “Noise-induced basin hopping in a gearbox model”, Chaos, Solitons & Fractals, vol. 26, no. 5, pp. 1523 - 1531, 2005. (537.39 KB)
S. L. T. de Souza, Batista, A. Marcos, Caldas, I. L., Viana, R. L., and Kapitaniak, T., “Noise-induced basin hopping in a vibro-impact system”, Chaos, Solitons & Fractals, vol. 32, no. 2, pp. 758 - 767, 2007. (840.64 KB)
M. Roberto, da Silva, E. C., Caldas, I. L., and Viana, R. L., “Non-twist field line mappings for tokamaks with reversed magnetic shear”, Brazilian Journal of Physics, vol. 34, no. 4b, pp. 1759 - 1765, 2004. (189.52 KB)
C. G. L. Martins, R. de Carvalho, E., Caldas, I. L., and Roberto, M., “The non-twist standard map with robust tori”, Journal of Physics A: Mathematical and Theoretical, vol. 43, no. 17, p. 175501, 2010. (732.31 KB)
I. L. Caldas, Viana, R. L., Szezech, J. D., PORTELA, J. S. E., da Fonseca, J. D., Roberto, M., Martins, C. G. L., and da Silva, E. J., “Nontwist symplectic maps in tokamaks”, Communications in Nonlinear Science and Numerical Simulation, vol. 17, no. 5, pp. 2021 - 2030, 2012. (2.08 MB)
I. L. Caldas, Viana, R. L., Szezech, J. D., PORTELA, J. S. E., da Fonseca, J. D., Roberto, M., Martins, C. G. L., and da Silva, E. J., “Nontwist symplectic maps in tokamaks”, Communications in Nonlinear Science and Numerical Simulation, vol. 17, no. 5, pp. 2021 - 2030, 2012. (2.08 MB)
F. A. S. Ferrari, Prado, T. L., da Silva, T. F. P., Santos, C. M. dos, Santos, M. S., de Souza, S. L. T., Iarosz, K. C., Szezech, J. D., and Batista, A. Marcos, “Numerical simulations of the linear drift memristor model”, The European Physical Journal Plus, vol. 134, p. 102, 2019. (1.09 MB)
F. A. S. Ferrari, Prado, T. L., da Silva, T. F. P., Santos, C. M. dos, Santos, M. S., de Souza, S. L. T., Iarosz, K. C., Szezech, J. D., and Batista, A. Marcos, “Numerical simulations of the linear drift memristor model”, The European Physical Journal Plus, vol. 134, p. 102, 2019. (1.09 MB)
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V. M. de Oliveira, Sousa-Silva, P. A., and Caldas, I. L., “Order-chaos-order and invariant manifolds in the bounded planar Earth–Moon system”, Celestial Mechanics and Dynamical Astronomy, vol. 132, p. 51, 2020. (9.59 MB)
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D. Ricardo da Costa, Hansen, M., and Batista, A. Marcos, “Parametric perturbation in a model that describes the neuronal membrane potential”, Physica A: Statistical Mechanics and its Applications, vol. 515, pp. 519 - 525, 2019. (1.19 MB)
E. S. Medeiros, de Souza, S. L. T., Medrano-T, R. O., and Caldas, I. L., “Periodic window arising in the parameter space of an impact oscillator”, Physics Letters A, vol. 374, no. 26, pp. 2628 - 2635, 2010.
D. Ricardo da Costa, Caldas, I. L., and Leonel, E. D., “Phase space properties and chaotic transport for a particle moving in a time dependent step potential well”, Applied Mathematics and Computation, vol. 236, pp. 215 - 228, 2014. (3.43 MB)
C. G. L. Martins, R. de Carvalho, E., Caldas, I. L., and Roberto, M., “Plasma confinement in tokamaks with robust torus”, Physica A: Statistical Mechanics and its Applications, vol. 390, no. 5, pp. 957 - 962, 2011. (1011.53 KB)
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M. Rolim Sales, Borin, D., de Souza, L. Costa, J Jr., D. Szezech, Viana, R. Luiz, I Caldas, L., and Leonel, E. Denis, “Ratchet current and scaling properties in a nontwist mapping”, Chaos, Solitons & Fractals, no. 123333100725163420409–10252–41979058991181553a4531323613433231, p. 115614, 2024. (4.01 MB)
E. G. Altmann, da Silva, E. C., and Caldas, I. L., “Recurrence time statistics for finite size intervals”, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 14, no. 4, pp. 975 - 981, 2004. (223.02 KB)
E. S. Medeiros, de Souza, S. L. T., Medrano-T, R. O., and Caldas, I. L., “Replicate periodic windows in the parameter space of driven oscillators”, Chaos, Solitons & Fractals, vol. 44, no. 11, pp. 982 - 989, 2011.
R. M. O. Galvão, Amador, C. H. S., Baquero, W. A. H., Borges, F. S., Caldas, I. L., Cuevas, N. A. M., Duarte, V. N., Elfimov, A. G., Elizondo, J. I., Fonseca, A. M. M., Germano, T. M., Grenfell, G. G., Guimarães-Filho, Z. O., Jeronimo, J. L., Kuznetsov, Y. K., Manrique, M. A. M., Nascimento, I. C., Pires, C. J. A., Puglia, P. G. P., Reis, A. P., Ronchi, G., Ruchko, L. F., de Sá, W. P., Sgalla, R. J. F., Sanada, E., Severo, J. H. F., Theodoro, V. C., and Toufen, D. L., “Report on recent results obtained in TCABR”, Journal of Physics: Conference Series, vol. 591, p. 012001, 2015. (2.52 MB)
R. M. O. Galvão, Amador, C. H. S., Baquero, W. A. H., Borges, F. S., Caldas, I. L., Cuevas, N. A. M., Duarte, V. N., Elfimov, A. G., Elizondo, J. I., Fonseca, A. M. M., Germano, T. M., Grenfell, G. G., Guimarães-Filho, Z. O., Jeronimo, J. L., Kuznetsov, Y. K., Manrique, M. A. M., Nascimento, I. C., Pires, C. J. A., Puglia, P. G. P., Reis, A. P., Ronchi, G., Ruchko, L. F., de Sá, W. P., Sgalla, R. J. F., Sanada, E., Severo, J. H. F., Theodoro, V. C., and Toufen, D. L., “Report on recent results obtained in TCABR”, Journal of Physics: Conference Series, vol. 591, p. 012001, 2015. (2.52 MB)

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