Papers

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P. R. Protachevicz, Borges, F. S., Iarosz, K. C., Caldas, I. L., Baptista, M. S., Viana, R. L., Lameu, E. L., Macau, E. E. N., and Batista, A. Marcos, “How synapses can enhance sensibility of a neural network”, Physica A: Statistical Mechanics and its Applications, vol. 492, pp. 1045 - 1052, 2018. (804.92 KB)
R. O. Medrano-T, Baptista, M. S., and Caldas, I. L., “Homoclinic orbits in a piecewise system and their relation with invariant sets”, Physica D: Nonlinear Phenomena, vol. 186, no. 3-4, pp. 133 - 147, 2003. (860.19 KB)
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)
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A. C. Mathias, Mugnaine, M., Santos, M. S., Szezech, J. D., Caldas, I. L., and Viana, R. L., “Fractal structures in the parameter space of nontwist area-preserving maps”, Physical Review E, vol. 100, no. 5, 2019. (2.08 MB)
A. C. Mathias, Mugnaine, M., Santos, M. S., Szezech, J. D., Caldas, I. L., and Viana, R. L., “Fractal structures in the parameter space of nontwist area-preserving maps”, Physical Review E, vol. 100, no. 5, 2019. (2.08 MB)
E. E. D. E. S. O. U. Z. A. FILHO, MATHIAS, A. C., Caldas, I. L., and Viana, R. L., “Fractal structures in the deflection of light by a pair of Schwarzschild black holes”, Indian Academy of Sciences Conference Series, vol. 3, 2020.
A. C. Mathias, Viana, R. L., Kroetz, T., and Caldas, I. L., “Fractal structures in the chaotic motion of charged particles in a magnetized plasma under the influence of drift waves”, Physica A: Statistical Mechanics and its Applications, vol. 469, pp. 681 - 694, 2017. (6.98 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)
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, Mathias, A. C., Marcus, F. A., Kroetz, T., and Caldas, I. L., “Fractal boundaries in chaotic hamiltonian systems”, Journal of Physics: Conference Series, vol. 911, p. 012002, 2017. (3.79 MB)
R. L. Viana, Mathias, A. C., Marcus, F. A., Kroetz, T., and Caldas, I. L., “Fractal boundaries in chaotic hamiltonian systems”, Journal of Physics: Conference Series, vol. 911, p. 012002, 2017. (3.79 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)
J. D. Szezech, Schelin, A. B., Caldas, I. L., Lopes, S. R., Morrison, P. J., and Viana, R. L., “Finite-time rotation number: A fast indicator for chaotic dynamical structures”, Physics Letters A, vol. 377, no. 6, pp. 452 - 456, 2013. (1.02 MB)
J. D. Szezech, Schelin, A. B., Caldas, I. L., Lopes, S. R., Morrison, P. J., and Viana, R. L., “Finite-time rotation number: A fast indicator for chaotic dynamical structures”, Physics Letters A, vol. 377, no. 6, pp. 452 - 456, 2013. (1.02 MB)
J. D. Szezech, Schelin, A. B., Caldas, I. L., Lopes, S. R., Morrison, P. J., and Viana, R. L., “Finite-time rotation number: A fast indicator for chaotic dynamical structures”, Physics Letters A, vol. 377, no. 6, pp. 452 - 456, 2013. (1.02 MB)
R. O. Medrano-T, Moura, A., Tél, T., Caldas, I. L., and Grebogi, C., “Finite-size particles, advection, and chaos: A collective phenomenon of intermittent bursting”, Physical Review E, vol. 78, no. 5, 2008. (12.15 MB)
R. O. Medrano-T, Moura, A., Tél, T., Caldas, I. L., and Grebogi, C., “Finite-size particles, advection, and chaos: A collective phenomenon of intermittent bursting”, Physical Review E, vol. 78, no. 5, 2008. (12.15 MB)
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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. M. Maranhão, Baptista, M. S., Sartorelli, J. C., and Caldas, I. L., “Experimental observation of a complex periodic window”, Physical Review E, vol. 77, no. 3, 2008. (699.24 KB)
G. Z. dos Sant Lima, Marcus, F. A., Caldas, I. L., Kuznetsov, Y. K., and Nascimento, I. C., “Evidence of transport barrier in TCABR tokamak with high MHD activity”, Journal of Physics: Conference Series, vol. 285, p. 012010, 2011. (636.88 KB)
B. Raphaldini, Ciro, D., Medeiros, E. S., Massaroppe, L., and Trindade, R. I. F., “Evidence for crisis-induced intermittency during geomagnetic superchron transitions”, Physical Review E, vol. 101, no. 2, 2020. (1.49 MB)
B. Raphaldini, Ciro, D., Medeiros, E. S., Massaroppe, L., and Trindade, R. I. F., “Evidence for crisis-induced intermittency during geomagnetic superchron transitions”, Physical Review E, vol. 101, no. 2, 2020. (1.49 MB)
M. C. de Sousa, Marcus, F. A., Caldas, I. L., and Viana, R. L., “Energy distribution in intrinsically coupled systems: The spring pendulum paradigm”, Physica A, vol. 509, pp. 1110-1119, 2018. (1.33 MB) (879.47 KB) (804.75 KB) (17.9 MB)
J. D. Szezech, Caldas, I. L., Lopes, S. R., Morrison, P. J., and Viana, R. L., “Effective transport barriers in nontwist systems”, Physical Review E, vol. 86, no. 3, 2012. (4.36 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)

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