Papers

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D. Ricardo da Costa, Hansen, M., and Batista, A. Marcos, Parametric perturbation in a model that describes the neuronal membrane potential, Physica A: Statistical Mechanics and its Applications, vol. 515, pp. 519 - 525, 2019. (1.19 MB)
M. S. Baptista and Caldas, I. L., The Parameter Space Structure of the Kicked Logistic Map and Its Stability, International Journal of Bifurcation and Chaos, vol. 07, no. 02, pp. 447 - 457, 1997. (1.01 MB)
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M. S. Baptista, Caldas, I. L., HELLER, M. V. A. P., and FERREIRA, A. A., Onset of symmetric plasma turbulence, Physica A: Statistical Mechanics and its Applications, vol. 301, no. 1-4, pp. 150 - 162, 2001. (209.79 KB)
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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. (1.09 MB)
M. S. Baptista, Pereira, T., Sartorelli, J. C., Caldas, I. L., and Kurths, J., Non-transitive maps in phase synchronization, Physica D: Nonlinear Phenomena, vol. 212, no. 3-4, pp. 216 - 232, 2005. (3.38 MB)
A. Marcos Batista, Caldas, I. L., Lopes, S. R., Viana, R. L., Horton, W., and Morrison, P. J., Nonlinear three-mode interaction and drift-wave turbulence in a tokamak edge plasma, Physics of Plasmas, vol. 13, no. 4, p. 042510, 2006. (857.83 KB)
Á. G. López, Iarosz, K. C., Batista, A. Marcos, Seoane, J. M., Viana, R. L., and Sanjuan, M. A. F., Nonlinear cancer chemotherapy: Modelling the Norton-Simon hypothesis, Communications in Nonlinear Science and Numerical Simulation, vol. 70, pp. 307 - 317, 2019. (1.5 MB)
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, Caldas, I. L., Viana, R. L., Batista, A. Marcos, and Kapitaniak, T., Noise-induced basin hopping in a gearbox model, Chaos, Solitons & Fractals, vol. 26, no. 5, pp. 1523 - 1531, 2005. (537.39 KB)
P. R. Protachevicz, Santos, M. S., SEIFERT, E. G., GABRICK, E. C., Borges, F. S., Borges, R. R., Trobia, J., SZEZECH, JR, J. D., Iarosz, K. C., Caldas, I. L., Antonopoulos, C. G., XU, Y., Viana, R. L., and Batista, A. M., Noise induces continuous and noncontinuous transitions in neuronal interspike intervals range, Indian Academy of Sciences Conference Series, vol. 3, 2020.
P. R. Protachevicz, Santos, M. S., SEIFERT, E. G., GABRICK, E. C., Borges, F. S., Borges, R. R., Trobia, J., SZEZECH, JR, J. D., Iarosz, K. C., Caldas, I. L., Antonopoulos, C. G., XU, Y., Viana, R. L., and Batista, A. M., Noise induces continuous and noncontinuous transitions in neuronal interspike intervals range, Indian Academy of Sciences Conference Series, vol. 3, 2020.
P. R. Protachevicz, Santos, M. S., SEIFERT, E. G., GABRICK, E. C., Borges, F. S., Borges, R. R., Trobia, J., SZEZECH, JR, J. D., Iarosz, K. C., Caldas, I. L., Antonopoulos, C. G., XU, Y., Viana, R. L., and Batista, A. M., Noise induces continuous and noncontinuous transitions in neuronal interspike intervals range, Indian Academy of Sciences Conference Series, vol. 3, 2020.
J. C. P. Coninck, Ferrari, F. A. S., Reis, A. S., Iarosz, K. C., Caldas, I. L., Batista, A. Marcos, and Viana, R. L., Network properties of healthy and Alzheimer brains, Physica A: Statistical Mechanics and its Applications, vol. 547, p. 124475, 2020. (5.8 MB)
F. A. S. Ferrari, Viana, R. L., Reis, A. S., Iarosz, K. C., Caldas, I. L., and Batista, A. Marcos, A network of networks model to study phase synchronization using structural connection matrix of human brain, Physica A: Statistical Mechanics and its Applications, vol. 496, pp. 162 - 170, 2018. (1.44 MB)
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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. (5.61 MB)
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. (5.61 MB)
é Trobia, Tian, K., Batista, A. M., Grebogi, C., Ren, H. - P., Santos, M. S., Protachevicz, P. R., Borges, F. S., Szezech, éD., Viana, R. L., Caldas, êL., and Iarosz, K. C., Mathematical model of brain tumour growth with drug resistance, Communications in Nonlinear Science and Numerical Simulation, vol. 1032896430707936116163653814863422019136642511161563582076583681114159563521251321789153751459470, p. 106013, 2021. (1.41 MB)
é Trobia, Tian, K., Batista, A. M., Grebogi, C., Ren, H. - P., Santos, M. S., Protachevicz, P. R., Borges, F. S., Szezech, éD., Viana, R. L., Caldas, êL., and Iarosz, K. C., Mathematical model of brain tumour growth with drug resistance, Communications in Nonlinear Science and Numerical Simulation, vol. 1032896430707936116163653814863422019136642511161563582076583681114159563521251321789153751459470, p. 106013, 2021. (1.41 MB)
J. Stöckel, Badalec, J., Duran, I., Hron, M., Horácek, J., Jakubka, K., Kryska, L., Petrzilka, J., Kácek, F., HELLER, M. V. A. P., Brasilio, Z. A., and Caldas, I. L., Magnetic and electrostatic fluctuations in the CASTOR tokamak, Plasma Physics and Controlled Fusion, vol. 41, no. 3A, pp. A577 - A585, 1999. (403.33 KB)
J. Stöckel, Badalec, J., Duran, I., Hron, M., Horácek, J., Jakubka, K., Kryska, L., Petrzilka, J., Kácek, F., HELLER, M. V. A. P., Brasilio, Z. A., and Caldas, I. L., Magnetic and electrostatic fluctuations in the CASTOR tokamak, Plasma Physics and Controlled Fusion, vol. 41, no. 3A, pp. A577 - A585, 1999. (403.33 KB)
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R. L. Viana, Batista, A. Marcos, Batista, C. A. S., and Iarosz, K. C., Lyapunov spectrum of chaotic maps with a long-range coupling mediated by a diffusing substance, Nonlinear Dynamics, vol. 87775785684669476103173530868326286329393104110413432969641035620634368, no. 3, pp. 1589 - 1601, 2017. (1.32 MB)
R. L. Viana, Batista, A. Marcos, Batista, C. A. S., and Iarosz, K. C., Lyapunov spectrum of chaotic maps with a long-range coupling mediated by a diffusing substance, Nonlinear Dynamics, vol. 87775785684669476103173530868326286329393104110413432969641035620634368, no. 3, pp. 1589 - 1601, 2017. (1.32 MB)
R. L. Viana, Batista, A. Marcos, Batista, C. A. S., and Iarosz, K. C., Lyapunov spectrum of chaotic maps with a long-range coupling mediated by a diffusing substance, Nonlinear Dynamics, vol. 87775785684669476103173530868326286329393104110413432969641035620634368, no. 3, pp. 1589 - 1601, 2017. (1.32 MB)
R. L. Viana, Batista, A. Marcos, Batista, C. A. S., and Iarosz, K. C., Lyapunov spectrum of chaotic maps with a long-range coupling mediated by a diffusing substance, Nonlinear Dynamics, vol. 87775785684669476103173530868326286329393104110413432969641035620634368, no. 3, pp. 1589 - 1601, 2017. (1.32 MB)
M. S. Baptista, Caldas, I. L., Baptista, M. S., Baptista, C. S., FERREIRA, A. A., and HELLER, M. V. A. P., Low-dimensional dynamics in observables from complex and higher-dimensional systems, Physica A: Statistical Mechanics and its Applications, vol. 287, no. 1-2, pp. 91 - 99, 2000. (152.23 KB)

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