Papers

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D. Ricardo da Costa, Hansen, M., Leonel, E. D., and Medrano-T, R. O., “Extreming curves and the parameter space of a generalized Logistic mapping”, Journal of Vibration Testing and System Dynamics, vol. 2, no. 2, pp. 109 - 118, 2018.
D. Ricardo da Costa, Caldas, I. L., and Leonel, E. D., “Dynamical properties for an ensemble of classical particles moving in a driven potential well with different time perturbation”, Physics Letters A, vol. 377, no. 31-33, pp. 1814 - 1821, 2013. (5.02 MB)
D. Ricardo da Costa, Palmero, M. S., éndez-Bermúdez, J. A., Iarosz, K. C., Jr, éD. Szezech, and Batista, A. Marcos, “Tilted-hat mushroom billiards: Web-like hierarchical mixed phase space”, Communications in Nonlinear Science and Numerical Simulation, vol. 91, p. 105440, 2020. (3.98 MB)
D. Ricardo da Costa, Caldas, I. L., Ladeira, D. G., and Leonel, E. D., “On the Localization of Invariant Tori in a Family of Generalized Standard Mappings and its Applications to Scaling in a Chaotic Sea”, Journal of Applied Nonlinear Dynamics, vol. 7, no. 2, 2018. (370.89 KB)
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)
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)
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.
J. D. da Fonseca, del-Castillo-Negrete, D., Sokolov, I. M., and Caldas, I. L., “A statistical study of gyro-averaging effects in a reduced model of drift-wave transport”, Physics of Plasmas, vol. 23, p. 082308, 2016. (1.93 MB)
J. D. da Fonseca, del-Castillo-Negrete, D., and Caldas, I. L., “Area-preserving maps models of gyroaveraged E×B chaotic transport”, Physics of Plasmas, vol. 21, no. 9, p. 092310, 2014. (9.71 MB)
E. C. da Silva, Caldas, I. L., and Viana, R. L., “Ergodic magnetic limiter for the TCABR”, Brazilian Journal of Physics, vol. 32, no. 1, 2002. (5.84 MB)
E. C. da Silva, Roberto, M., Caldas, I. L., and Viana, R. L., “Effects of the resonant modes on the magnetic footprint patterns in a tokamak wall”, Physics of Plasmas, vol. 13, no. 5, p. 052511, 2006. (857.83 KB)
E. C. da Silva, Caldas, I. L., and Viana, R. L., “Field line diffusion and loss in a tokamak with an ergodic magnetic limiter”, Physics of Plasmas, vol. 8, no. 6, pp. 2855 - 2865, 2001. (502.88 KB)
E. C. da Silva, Caldas, I. L., and Viana, R. L., “Bifurcations and onset of chaos on the ergodic magnetic limiter mapping”, Chaos, Solitons & Fractals, vol. 14, no. 3, pp. 403 - 423, 2002. (1.72 MB)
E. C. da Silva, Roberto, M., PORTELA, J. S. E., Caldas, I. L., and Viana, R. L., “Escaping and transport barrier due to ergodic magnetic limiters in tokamaks with reversed magnetic shear”, Nuclear Fusion, vol. 46, no. 4, pp. S192 - S198, 2006. (1.21 MB)
E. C. da Silva, Caldas, I. L., Viana, R. L., and Sanjuan, M. A. F., “Escape patterns, magnetic footprints, and homoclinic tangles due to ergodic magnetic limiters”, Physics of Plasmas, vol. 9, no. 12, pp. 4917 - 4928, 2002. (502.88 KB)
T. M. Corrêa da Silva, Pakter, R., Rizzato, F. B., de Sousa, M. C., Caldas, I. L., and Steffens, F. M., “Chaotic particle heating due to an obliquely propagating wave in a magnetized plasma”, Physical Review E, vol. 88, no. 1, p. 013101, 2013. (1.25 MB)
E. C. da Silva, Caldas, I. L., and Viana, R. L., “The structure of chaotic magnetic field lines in a tokamak with external nonsymmetric magnetic perturbations”, IEEE Transactions on Plasma Science, vol. 29, no. 4, pp. 617 - 631, 2001. (525 KB)
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. M. de Castro, HELLER, M. V. A. P., Caldas, I. L., da Silva, R. P., and Nascimento, I. C., “Electrostatic Turbulence in the TBR Tokamak”, Brazilian Journal of Physics, vol. 27, no. 3, 1997. (252.8 KB)
D. R. de Lima and Caldas, I. L., “Growth and performance of the periodic orbits of a nonlinear driven oscillator”, Chaos, Solitons & Fractals, vol. 150, p. 111102, 2021. (5.68 MB)
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)
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)
V. M. de Oliveira, Ciro, D., and Caldas, I. L., “Dynamical trapping in the area-preserving Hénon map”, The European Physical Journal Special Topics, vol. 229, pp. 1507 - 1516, 2020. (1.35 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)
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)

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