Papers

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Journal Article
Y. K. Kuznetsov, Nascimento, I. C., Silva, C., Figueiredo, H., Guimarães-Filho, Z. O., Caldas, I. L., Galvão, R. M. O., Severo, J. H. F., Toufen, D. L., Ruchko, L. F., Elfimov, A. G., Elizondo, J. I., de Sá, W. P., Usuriaga, O., Sanada, E., Melnikov, A. V., Gryaznevich, M. P., M. Alonso, P., Reis, A. P., Machida, M., Trembach, D. J., Germano, T. M., Narayanan, R., Ghoranneviss, M., Arvin, R., Mohammadi, S., Tekieh, S. R. S., Borges, F. O., Bellintani, V., Canal, G. P., Duarte, P., de Castro, R. M., Vorobyov, G., Mizintseva, M., Moiseenko, V. E., F. Nascimento, do, Ronchi, G., and Schmutzler, L. M. F., “Long-distance correlations in TCABR biasing experiments”, Nuclear Fusion, vol. 52, no. 6, p. 063004, 2012. (1.54 MB)
A. Marcos Batista, Caldas, I. L., Lopes, S. R., and Viana, R. L., “Low-dimensional chaos and wave turbulence in plasmas”, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 366133290392122664717115515425263518, no. 18652323, pp. 609 - 620, 2008. (1.42 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)
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)
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)
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)
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)
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)
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)
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)
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)
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.
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)
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)
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)
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)
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)

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