Papers

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Journal Article
R. R. Borges, Borges, F. S., Lameu, E. L., Batista, A. Marcos, Iarosz, K. C., Caldas, I. L., Viana, R. L., and Sanjuan, M. A. F., Effects of the spike timing-dependent plasticity on the synchronisation in a random Hodgkin–Huxley neuronal network, Communications in Nonlinear Science and Numerical Simulation, vol. 34, pp. 12 - 22, 2016. (1.01 MB)
P. R. Protachevicz, Hansen, M., Iarosz, K. C., Caldas, I. L., Batista, A. Marcos, and Kurths, J., Emergence of Neuronal Synchronisation in Coupled Areas, Frontiers in Computational Neuroscience, vol. 15, p. 663408, 2021. (4.72 MB)
V. H. A. Fávaro, Gabrick, E. C., Batista, A. M., Caldas, I. L., and Viana, R. L., Epidemiological model based on networks with non-local coupling, Chaos, Solitons & Fractals, vol. 177, p. 114256, 2023. (2.72 MB)
P. R. Protachevicz, Borges, F. S., Iarosz, K. C., Caldas, I. L., Baptista, M. S., Viana, R. L., Lameu, E. L., Macau, E. E. N., and Batista, A. Marcos, How synapses can enhance sensibility of a neural network, Physica A: Statistical Mechanics and its Applications, vol. 492, pp. 1045 - 1052, 2018. (804.92 KB)
F. S. Borges, Lameu, E. L., Iarosz, K. C., Protachevicz, P. R., Caldas, I. L., Viana, R. L., Macau, E. E. N., Batista, A. Marcos, and Baptista, M. S., Inference of topology and the nature of synapses, and the flow of information in neuronal networks, Physical Review E, vol. 97, no. 2, 2018. (1.74 MB)
P. R. Protachevicz, Iarosz, K. C., Caldas, I. L., Antonopoulos, C. G., Batista, A. Marcos, and Kurths, J., Influence of Autapses on Synchronization in Neural Networks With Chemical Synapses, Frontiers in Systems Neuroscience, vol. 14, p. 604563, 2020. (618.64 KB)
K. C. Iarosz, Batista, A. Marcos, Viana, R. L., Lopes, S. R., Caldas, I. L., and Penna, T. J. P., The influence of connectivity on the firing rate in a neuronal network with electrical and chemical synapses, Physica A: Statistical Mechanics and its Applications, vol. 391, no. 3, pp. 819 - 827, 2012. (1.05 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. (947.18 KB)
P. R. Protachevicz, Bonin, C. A., Iarosz, K. C., Caldas, I. L., and Batista, A. M., Large coefficient of variation of inter-spike intervals induced by noise current in the resonate-and-fire model neuron, Cognitive Neurodynamics, 2022. (1.4 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)
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)
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)
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)
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)
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)
G. Z. dos Sant Lima, Iarosz, K. C., Batista, A. Marcos, Guimarães-Filho, Z. O., Caldas, I. L., Kuznetsov, Y. K., Nascimento, I. C., Viana, R. L., and Lopes, S. R., Radial dependence of self-organized criticality behavior in TCABR tokamak, Journal of Physics: Conference Series, vol. 285, p. 012004, 2011. (527.47 KB)
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. (1.73 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)
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)

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