Papers

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D
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, 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)
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)
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, 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, 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, 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 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, 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)
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 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, 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., 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)
L. Costa de Souza, Sales, M. Rolim, J. Szezech, D., Viana, R. Luiz, I. Caldas, L., and Baptista, Mda Silva, Pattern formation in symplectic coupled map lattices, Chaos, Solitons & Fractals, vol. 200, p. 117057, 2025. (4.83 MB)
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)
L. F. Bernardi de Souza, R. de Carvalho, E., and Caldas, I. L., Transport barriers for two modes drift wave map, Physics Letters A, vol. 444, p. 128237, 2022. (6.89 MB)
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, 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, 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, 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)
S. L. T. de Souza, Caldas, I. L., Balthazar, J. M., and Brasil, R. M. L. R. F., Analysis of Regular and Irregular Dynamics of a Non Ideal Gear Rattling Problem, Journal of the Brazilian Society of Mechanical Sciences, vol. 24, no. 2, 2002. (336 KB)
S. L. T. de Souza, Wiercigroch, M., Caldas, I. L., and Balthazar, J. M., Suppressing grazing chaos in impacting system by structural nonlinearity, Chaos, Solitons & Fractals, vol. 38, no. 3, pp. 864 - 869, 2008. (837.3 KB)

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