Papers

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M. Rolim Sales, Mugnaine, M., de Moraes, A. L. R., Leonel, E. Denis, Antonopoulos, C. G., Caldas, I. Luiz, and Szezech, J. Danilo, Transport mechanisms associated with non-integer wavenumbers in a discontinuous nontwist map, Chaos, Solitons & Fractals, vol. 200 , p. 116966, 2025. (5.75 MB)
M. Rolim Sales, de Souza, L. Costa, Borin, D., Mugnaine, M., Szezech, J. Danilo, Viana, R. Luiz, Caldas, I. Luiz, Leonel, E. Denis, and Antonopoulos, C. G., pynamicalsys: A Python toolkit for the analysis of dynamical systems, Chaos, Solitons & Fractals, vol. 201, p. 117269 , 2025. (11.75 MB)
M. R. Sales, Mugnaine, M., Szezech, J. D., Viana, R. L., Caldas, I. L., Marwan, N., and Kurths, Y., Stickiness and recurrence plots: An entropy-based approach, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 33, no. 3, p. 033140, 2023. (5.19 MB)
M. R. Sales, Mugnaine, M., Viana, R. L., Caldas, I. L., and Szezech, J. D., Unpredictability in Hamiltonian systems with a hierarchical phase space, Physics Letters A, vol. 431, p. 127991, 2022. (1.55 MB)
M. Rolim Sales, Borin, D., de Souza, L. Costa, J Jr., D. Szezech, Viana, R. Luiz, I Caldas, L., and Leonel, E. Denis, Ratchet current and scaling properties in a nontwist mapping, Chaos, Solitons & Fractals, no. 123333100725163420409–10252–41979058991181553a4531323613433231, p. 115614, 2024. (4.01 MB)
M. S. Santos, Mugnaine, M., Szezech, J. D., Batista, A. Marcos, Caldas, I. L., and Viana, R. L., Using rotation number to detect sticky orbits in Hamiltonian systems, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 29, no. 4, p. 043125, 2019. (7.02 MB)
M. S. Santos, Protachevicz, P. R., Caldas, I. L., Iarosz, K. C., Viana, R. L., Jr, J. D. Szezech, de Souza, S. L. T., and Batista, A. Marcos, Spiral wave chimera states in regular and fractal neuronal networks, Journal of Physics: Complexity, vol. 2, no. 1, p. 015006, 2021. (1.48 MB)
V. Santos, Szezech, J. D., Baptista, M. S., Batista, A. Marcos, and Caldas, I. L., Unstable dimension variability structure in the parameter space of coupled Hénon maps, Applied Mathematics and Computation, vol. 286, pp. 23 - 28, 2016. (1.92 MB)
M. S. Santos, Protachevicz, P. R., Iarosz, K. C., Caldas, I. L., Viana, R. L., Borges, F. S., Ren, H. - P., Szezech, J. D., Batista, A. Marcos, and Grebogi, C., Spike-burst chimera states in an adaptive exponential integrate-and-fire neuronal network, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 295, no. 4, p. 043106, 2019. (9.25 MB)
M. S. Santos, Borges, F. S., Iarosz, K. C., Caldas, I. L., Szezech, J. D., Viana, R. L., Baptista, M. S., and Batista, A. Marcos, Basin of attraction for chimera states in a network of Rössler oscillators, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 305, no. 8, p. 083115, 2020. (241.62 KB)
M. S. Santos, Jr, J. D. Szezech, Batista, A. Marcos, Iarosz, K. C., Caldas, I. L., and Viana, R. L., Dragon-kings death in nonlinear wave interactions, Physica A: Statistical Mechanics and its Applications, vol. 534, p. 122296, 2019. (814.9 KB)
V. Santos, Szezech, J. D., Batista, A. Marcos, Iarosz, K. C., Baptista, M. S., Ren, H. - P., Grebogi, C., Viana, R. L., Caldas, I. L., Maistrenko, Y. L., and Kurths, J., Riddling: Chimera’s dilemma, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 285, no. 8, p. 081105, 2018. (3.63 MB)
M. S. Santos, Szezech, J. D., Batista, A. Marcos, Caldas, I. L., Viana, R. L., and Lopes, S. R., Recurrence quantification analysis of chimera states, Physics Letters A, vol. 379, no. 37, pp. 2188 - 2192, 2015. (1007.07 KB)
E. P. dos Santos, Baptista, M. S., and Caldas, I. L., Dealing with final state sensitivity for synchronous communication, Physica A: Statistical Mechanics and its Applications, vol. 308, no. 1-4, pp. 101 - 112, 2002. (452.96 KB)
Vdos Santos, Sales, M. Rolim, Caldas, I. Luiz, Viana, R. Luiz, and Szezech, J. Danilo, Extended networks as a route of stabilization of divergent dynamics, Chaos, Solitons & Fractals, vol. 193, p. 116115, 2025. (3.7 MB)
M. S. Santos, Mugnaine, M., Szezech, J. D., Batista, A. Marcos, Caldas, I. L., Baptista, M. S., and Viana, R. L., Recurrence-based analysis of barrier breakup in the standard nontwist map, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 28, no. 8, p. 085717, 2018. (2.96 MB)
M. S. Santos, Szezech, J. D., Borges, F. S., Iarosz, K. C., Caldas, I. L., Batista, A. Marcos, Viana, R. L., and Kurths, J., Chimera-like states in a neuronal network model of the cat brain, Chaos, Solitons & Fractals, vol. 101, pp. 86 - 91, 2017. (1.64 MB)
M. S. Santos, Borges, F. S., Iarosz, K. C., Caldas, I. L., Szezech, J. D., Viana, R. L., Baptista, M. S., and Batista, A. Marcos, Basin of attraction for chimera states in a network of Rössler oscillators, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 305, no. 8, p. 083115, 2020. (4.42 MB)
E. Sayari, Seifert, E. G., Cruziniani, F. E., Gabrick, E. C., Iarosz, K. C., Szezech, J. D., Baptista, M. S., Caldas, InL., and Batista, A. M., Structural connectivity modifications in the brain of selected patients with tumour after its removal by surgery (a case study), Physica A: Statistical Mechanics and its Applications, vol. 623, p. 128849, 2023.
E. Sayari, Gabrick, E. C., Borges, F. S., Cruziniani, F. E., Protachevicz, P. R., Iarosz, K. C., Szezech, J. D., and Batista, A. M., Analyzing bursting synchronization in structural connectivity matrix of a human brain under external pulsed currents, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 33, no. 3, p. 033131, 2023. (509.97 KB)
A. B. Schelin, Caldas, I. L., Viana, R. L., and Benkadda, S., Collisional effects in the tokamap, Physics Letters A, vol. 376, no. 1, pp. 24 - 30, 2011. (2.04 MB)

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