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.

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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.

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 (1.92 MB)

E. C. Gabrick, Sayari, E., Protachevicz, P. R., Szezech, J. D., Iarosz, K. C., de Souza, S. L. T., Almeida, A. C. L., Viana, R. L., Caldas, I. L., and Batista, A. M., “Unpredictability in seasonal infectious diseases spread”, Chaos, Solitons & Fractals, vol. 166, no. 13, p. 113001, 2023.

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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.

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 (1.55 MB)

J. D. Szezech, Caldas, I. L., Lopes, S. R., Viana, R. L., and Morrison, P. J., “Transport properties in nontwist area-preserving maps”, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 19, no. 4, p. 043108, 2009.

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I. L. Caldas, Szezech, J. D., Kroetz, T., Marcus, F. A., Roberto, M., Viana, R. L., and Lopes, S. R., “Transport barriers in plasmas”, Journal of Physics: Conference Series, vol. 370, p. 012001, 2012.

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 (997.15 KB)

R. S. Oyarzabal, Szezech, J. D., Batista, A. Marcos, de Souza, S. L. T., Caldas, I. L., Viana, R. L., and Sanjuan, M. A. F., “Transient chaotic transport in dissipative drift motion”, Physics Letters A, vol. 380, no. 18-19, pp. 1621 - 1626, 2016.

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M. T. Van Kan, Trobia, J., Protachevicz, P. R., Santos, M. S., Ferrari, F. A. S., Bonetti, R. C., Costa, D. R., Szezech, J. D., Caldas, I. L., Batista, A. Marcos, and Iarosz, K. C., “Synchronization of coupled neurons in a master-slave configuration”, Mathematics in Engineering, Science and Aerospace, vol. 10, no. 1, pp. 55-64, 2019.

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R. L. Viana, Lopes, S. R., Szezech, J. D., and Caldas, I. L., “SYNCHRONIZATION OF CHAOS AND THE TRANSITION TO WAVE TURBULENCE”, International Journal of Bifurcation and Chaos, vol. 22, no. 10, p. 1250234, 2012.

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R. C. Bonetti, de Souza, S. L. T., Batista, A. Marcos, Szezech, J. D., Caldas, I. L., Viana, R. L., Lopes, S. R., and Baptista, M. S., “Super persistent transient in a master–slave configuration with Colpitts oscillators”, Journal of Physics A: Mathematical and Theoretical, vol. 47, no. 40, p. 405101, 2014.

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 (1.19 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.

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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.

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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.

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I. L. Caldas, Viana, R. L., Abud, C. V., da Fonseca, J. D., Guimarães-Filho, Z. O., Kroetz, T., Marcus, F. A., Schelin, A. B., Szezech, J. D., Toufen, D. L., Benkadda, S., Lopes, S. R., Morrison, P. J., Roberto, M., Gentle, K. W., Kuznetsov, Y. K., and Nascimento, I. C., “Shearless transport barriers in magnetically confined plasmas”, Plasma Physics and Controlled Fusion, vol. 54, no. 12, p. 124035, 2012.

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 (1.29 MB)

F. S. Borges, Protachevicz, P. R., Souza, D. L. M., Bittencourt, C. F., Gabrick, E. C., Bentivoglio, L. E., Szezech, J. D., Batista, A. M., Caldas, I. L., Dura-Bernal, S., and Pena, R. F. O., “The Roles of Potassium and Calcium Currents in the Bistable Firing Transition”, Brain Sciences, vol. 13, no. 9, p. 1347, 2023.

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 (2.3 MB)

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.

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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.

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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.

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E. L. Lameu, Yanchuk, S., Macau, E. E. N., Borges, F. S., Iarosz, K. C., Caldas, I. L., Protachevicz, P. R., Borges, R. R., Viana, R. L., Szezech, J. D., Batista, A. Marcos, and Kurths, J., “Recurrence quantification analysis for the identification of burst phase synchronisation”, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 28, no. 8, p. 085701, 2018.

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F. A. S. Ferrari, Prado, T. L., da Silva, T. F. P., Santos, C. M. dos, Santos, M. S., de Souza, S. L. T., Iarosz, K. C., Szezech, J. D., and Batista, A. Marcos, “Numerical simulations of the linear drift memristor model”, The European Physical Journal Plus, vol. 134, p. 102, 2019.

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I. L. Caldas, Viana, R. L., Szezech, J. D., PORTELA, J. S. E., da Fonseca, J. D., Roberto, M., Martins, C. G. L., and da Silva, E. J., “Nontwist symplectic maps in tokamaks”, Communications in Nonlinear Science and Numerical Simulation, vol. 17, no. 5, pp. 2021 - 2030, 2012.

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M. Mugnaine, Caldas, I. L., Szezech, J. D., and Viana, R. L., “Nontwist field line mapping in a tokamak with ergodic magnetic limiter”, Physical Review E, vol. 108, no. 5, p. 055206, 2023.

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E. L. Brugnago, Gabrick, E. C., Iarosz, K. C., Szezech, J. D., Viana, R. L., Batista, A. M., and Caldas, I. L., “Multistability and chaos in SEIRS epidemic model with a periodic time-dependent transmission rate”, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 33, no. 12, p. 123123, 2023.

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P. R. Protachevicz, Borges, F. S., Iarosz, K. C., Baptista, M. S., Lameu, E. L., Hansen, M., Caldas, I. L., Szezech, J. D., Batista, A. Marcos, and Kurths, J., “Influence of Delayed Conductance on Neuronal Synchronization”, Frontiers in Physiology, vol. 11, p. 1053, 2020.

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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.

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 (2.08 MB)