Papers

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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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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)
C. G. L. Martins, Marcus, F. A., Caldas, I. L., and R. de Carvalho, E., “Robust tori in a double-waved Hamiltonian model”, Physica A: Statistical Mechanics and its Applications, vol. 389, no. 23, pp. 5511 - 5514, 2010. (653.81 KB)
L. C. de Oliveira, Martins, C. G. L., Roberto, M., Caldas, I. L., and R. de Carvalho, E., “Robust tori-like Lagrangian coherent structures”, Physica A: Statistical Mechanics and its Applications, vol. 391, no. 24, pp. 6611 - 6616, 2012. (2.05 MB)
L. C. de Oliveira, Martins, C. G. L., Roberto, M., Caldas, I. L., and R. de Carvalho, E., “Robust tori-like Lagrangian coherent structures”, Physica A: Statistical Mechanics and its Applications, vol. 391, no. 24, pp. 6611 - 6616, 2012. (2.05 MB)
D. Ricardo da Costa, Hansen, M., Guarise, G., Medrano-T, R. O., and Leonel, E. D., “The role of extreme orbits in the global organization of periodic regions in parameter space for one dimensional maps”, Physics Letters A, vol. 380, no. 18-19, pp. 1610 - 1614, 2016.
F. S. Borges, Protachevicz, P. R., Souza, D. L. M., Bittencourt, C. F., Gabrick, E. C., Bentivoglio, L. E., Szezech, J. D., Batista, A. M., Caldas, I. L., Dura-Bernal, S., and Pena, R. F. O., “The Roles of Potassium and Calcium Currents in the Bistable Firing Transition”, Brain Sciences, vol. 13, no. 9, p. 1347, 2023. (2.3 MB)
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S. L. T. de Souza, Lima, A. A., Caldas, I. L., Medrano-T, R. O., and Guimarães-Filho, Z. O., “Self-similarities of periodic structures for a discrete model of a two-gene system”, Physics Letters A, vol. 376, no. 15, pp. 1290 - 1294, 2012. (1.15 MB)
F. S. Borges, Protachevicz, P. R., Pena, R. F. O., Lameu, E. L., Higa, G. S. V., Kihara, A. H., Matias, F. S., Antonopoulos, C. G., de Pasquale, R., Roque, A. C., Iarosz, K. C., Ji, P., and Batista, A. Marcos, “Self-sustained activity of low firing rate in balanced networks”, Physica A: Statistical Mechanics and its Applications, vol. 537, p. 122671, 2020. (1.85 MB)
A. L. P. Livorati, Palmero, M. S., Dettmann, C. P., Caldas, I. L., and Leonel, E. D., “Separation of particles leading either to decay or unlimited growth of energy in a driven stadium-like billiard”, Journal of Physics A: Mathematical and Theoretical, vol. 47, no. 36, p. 365101, 2014. (2.41 MB)

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