Papers

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S. L. T. de Souza, Batista, A. Marcos, Caldas, I. L., Iarosz, K. C., and Jr, J. D. Szezech, Dynamics of epidemics: Impact of easing restrictions and control of infection spread, Chaos, Solitons & Fractals, vol. 142, p. 110431, 2021. (5.61 MB)
S. L. T. de Souza, Caldas, I. L., Viana, R. L., and Balthazar, J. M., Sudden changes in chaotic attractors and transient basins in a model for rattling in gearboxes, Chaos, Solitons & Fractals, vol. 21, no. 3, pp. 763 - 772, 2004. (602.48 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)
S. L. T. de Souza, Batista, A. M., and Caldas, I. L., Arnold tongues replace period-doubling cascades in a memristor circuit, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 35, no. 9, 2025. (3.17 MB)
S. L. T. de Souza and Caldas, I. L., Calculation of Lyapunov exponents in systems with impacts, Chaos, Solitons & Fractals, vol. 19, no. 3, pp. 569 - 579, 2004. (339.02 KB)
S. L. T. de Souza and Caldas, I. L., Controlling chaotic orbits in mechanical systems with impacts, Chaos, Solitons & Fractals, vol. 19, no. 1, pp. 171 - 178, 2004. (204.35 KB)
S. L. T. de Souza and Caldas, I. L., Basins of Attraction and Transient Chaos in a Gear-Rattling Model, Journal of Vibration and Control, vol. 7, no. 6, pp. 849 - 862, 2001. (650.57 KB)
S. L. T. de Souza, Caldas, I. L., Viana, R. L., Balthazar, J. M., and Brasil, R. M. L. R. F., A simple feedback control for a chaotic oscillator with limited power supply, Journal of Sound and Vibration, vol. 299, no. 3, pp. 664 - 671, 2007. (602.79 KB)
S. L. T. de Souza, Caldas, I. L., Viana, R. L., Balthazar, J. M., and Brasil, R. M. L. R. F., Dynamics of vibrating systems with tuned liquid column dampers and limited power supply, Journal of Sound and Vibration, vol. 289, no. 4-5, pp. 987 - 998, 2006. (601.34 KB)
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)
S. L. T. de Souza, Caldas, I. L., Viana, R. L., and Balthazar, J. M., Control and chaos for vibro-impact and non-ideal oscillators, Journal of Theoretical and Applied Mechanics, vol. 46, 2008. (1.28 MB)
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)
S. L. T. de Souza, Caldas, I. L., Viana, R. L., Balthazar, J. M., and Brasil, R. M. L. R. F., Basins of attraction changes by amplitude constraining of oscillators with limited power supply, Chaos, Solitons & Fractals, vol. 26, no. 4, pp. 1211 - 1220, 2005. (743.23 KB)
M. C. de Sousa, Caldas, I. L., de Almeida, A. M. Ozorio, Rizzato, F. B., and Pakter, R., Alternate islands of multiple isochronous chains in wave-particle interactions, Physical Review E, vol. 88, no. 6, p. 064901, 2013. (428.28 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)
M. C. de Sousa, Steffens, F. M., Pakter, R., and Rizzato, F. B., Standard map in magnetized relativistic systems: Fixed points and regular acceleration, Physical Review E, vol. 82, no. 2, p. 026402, 2010. (265 KB)
M. C. de Sousa and Caldas, I. L., Improving particle beam acceleration in plasmas, Physics of Plasmas, vol. 25, no. 4, p. 043110, 2018. (1.71 MB)
M. C. de Sousa, Doveil, F., Elskens, Y., and Caldas, I. L., Wave–particle interactions in a long traveling wave tube with upgraded helix, Physics of Plasmas, vol. 27, no. 9, p. 093108, 2020. (2.51 MB)
M. C. de Sousa, Schelin, A. B., Marcus, F. A., Viana, R. L., and Caldas, I. L., Internal energy exchanges and chaotic dynamics in an intrinsically coupled system, Physics Letters A, vol. 453, p. 128481, 2022. (4.3 MB)
M. C. de Sousa, Caldas, I. L., Rizzato, F. B., Pakter, R., and Steffens, F. M., Controlling chaos in wave-particle interactions, Physical Review E, vol. 86, no. 1, p. 016217, 2012. (209.99 KB)
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)
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, 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)
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)
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)

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