D. L. Toufen, Guimarães-Filho, Z. O., Caldas, I. L., Szezech, J. D., Lopes, S. R., Viana, R. L., and Gentle, K. W., “Analysis of the influence of external biasing on Texas Helimak turbulence”, Physics of Plasmas, vol. 20, no. 2, p. 022310, 2013.

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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.

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 (509.97 KB)

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.

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 (241.62 KB)

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.

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 (4.42 MB)

P. R. Protachevicz, Borges, F. S., Lameu, E. L., Ji, P., Iarosz, K. C., Kihara, A. H., Caldas, I. L., Szezech, J. D., Baptista, M. S., Macau, E. E. N., Antonopoulos, C. G., Batista, A. Marcos, and Kurths, J., “Bistable Firing Pattern in a Neural Network Model”, Frontiers in Computational Neuroscience, vol. 13, no. 19, 2019.

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 (3.79 MB)

J. D. Szezech, Lopes, S. R., Caldas, I. L., and Viana, R. L., “Blowout bifurcation and spatial mode excitation in the bubbling transition to turbulence”, Physica A: Statistical Mechanics and its Applications, vol. 390, no. 2, pp. 365 - 373, 2011.

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 (980.21 KB)

J. D. Szezech, Lopes, S. R., Viana, R. L., and Caldas, I. L., “Bubbling transition to spatial mode excitation in an extended dynamical system”, Physica D: Nonlinear Phenomena, vol. 238, no. 5, pp. 516 - 525, 2009.

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 (4.06 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.

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 (1.64 MB)

M. Mugnaine, Batista, A. Marcos, Caldas, I. L., Szezech, J. D., de Carvalho, R. E., and Viana, R. L., “Curry–Yorke route to shearless attractors and coexistence of attractors in dissipative nontwist systems”, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 31386, no. 2, p. 023125, 2021.

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 (5.82 MB)

M. Mugnaine, Reis, A. S., Borges, F. S., Borges, F. S., Ferrari, F. A. S., Iarosz, K. C., Caldas, I. L., Lameu, E. L., Viana, R. L., Szezech, J. D., Kurths, J., and Batista, A. Marcos, “Delayed feedback control of phase synchronisation in a neuronal network model”, The European Physical Journal Special Topics, vol. 227, no. 10-11, pp. 1151 - 1160, 2018.

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 (1.06 MB)

R. L. Viana, Lopes, S. R., Caldas, I. L., Szezech, J. D., Guimarães-Filho, Z. O., Lima, G. Z. dos Sant, Galuzio, P. P., Batista, A. Marcos, Kuznetsov, Y. K., and Nascimento, I. C., “Dynamical analysis of turbulence in fusion plasmas and nonlinear waves”, Communications in Nonlinear Science and Numerical Simulation, vol. 17, no. 12, pp. 4690 - 4699, 2012.

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 (2.1 MB)

J. Trobia, de Souza, S. L. T., Santos, M. A. dos, Szezech, J. D., Batista, A. M., Borges, R. R., Pereira, Lda S., Protachevicz, P. R., Caldas, I. L., and Iarosz, K. C., “On the dynamical behaviour of a glucose-insulin model”, Chaos, Solitons & Fractals, vol. 155, p. 111753, 2022.

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 (6.27 MB)

I. L. Caldas, Viana, R. L., Guimarães-Filho, Z. O., Batista, A. Marcos, Lopes, S. R., Marcus, F. A., Roberto, M., Rosalem, K. C., Szezech, J. D., Toufen, D. L., Gentle, K. W., Nascimento, I. C., and Kuznetsov, Y. K., “Dynamical Effects in Confined Plasma Turbulence”, Brazilian Journal of Physics, vol. 44, no. 6, pp. 903 - 913, 2014.

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 (12.48 MB)

R. S. Oyarzabal, Szezech, J. D., Batista, A. Marcos, Caldas, I. L., Viana, R. L., and Iarosz, K. C., “Efeito de um termo dissipativo no sistema hamiltoniano de ondas de deriva”, Revista Brasileira de Ensino de Física, vol. 37, no. 2, pp. 2308-1 - 2308-8, 2015.

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 (5.05 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.

• DOI
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 (1.01 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.

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 (4.36 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.

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 (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.

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 (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.

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 (1.02 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.

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 (2.08 MB)

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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 (947.18 KB)

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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 (5.61 MB)

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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 (1.7 MB)

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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 (2.08 MB)

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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 (1.09 MB)