Papers

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R. L. Viana, da Silva, E. C., Kroetz, T., Caldas, I. L., Roberto, M., and Sanjuan, M. A. F., Fractal structures in nonlinear plasma physics, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 3691773812350583226118296176/7769456114450914151594551271906484214717293847122164165386667134315505162717123981448180, no. 193523525424, pp. 371 - 395, 2011. (3.76 MB)
A. C. Mathias, Viana, R. L., Kroetz, T., and Caldas, I. L., Fractal structures in the chaotic motion of charged particles in a magnetized plasma under the influence of drift waves, Physica A: Statistical Mechanics and its Applications, vol. 469, pp. 681 - 694, 2017. (6.98 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. (2.08 MB)
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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)
J. V. Gomes, de Sousa, M. C., Viana, R. L., Caldas, I. L., and Elskens, Y., Low-dimensional chaos in the single wave model for self-consistent wave–particle Hamiltonian, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 31, no. 8, p. 083104, 2021. (4.66 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)
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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. Gusso, Viana, R. L., Mathias, A. C., and Caldas, I. L., Nonlinear dynamics and chaos in micro/nanoelectromechanical beam resonators actuated by two-sided electrodes, Chaos, Solitons & Fractals, vol. 122, pp. 6 - 16, 2019. (4.87 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. Roberto, da Silva, E. C., Caldas, I. L., and Viana, R. L., Non-twist field line mappings for tokamaks with reversed magnetic shear, Brazilian Journal of Physics, vol. 34, no. 4b, pp. 1759 - 1765, 2004. (189.52 KB)
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. (2.08 MB)

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