Papers

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R. L. Viana, Caldas, I. L., Jr., J. D. Szezech, Batista, A. Marcos, Abud, C. V., Schelin, A. B., Mugnaine, M., Santos, M. S., Leal, B. B., Bartoloni, B. F., Mathias, A. C., Gomes, J. V., and Morrison, P. J., “Transport Barriers in Symplectic Maps”, Brazilian Journal of Physics, vol. 51, no. 3, pp. 899-909, 2021. (7.28 MB)
R. L. Viana, Lopes, S. R., Szezech, J. D., and Caldas, I. L., “SYNCHRONIZATION OF CHAOS AND THE TRANSITION TO WAVE TURBULENCE”, International Journal of Bifurcation and Chaos, vol. 22, no. 10, p. 1250234, 2012. (681.96 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, 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. (2.1 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, Borges, F. S., Iarosz, K. C., Batista, A. Marcos, Lopes, S. R., and Caldas, I. L., “Dynamic range in a neuron network with electrical and chemical synapses”, Communications in Nonlinear Science and Numerical Simulation, vol. 19, no. 1, pp. 164 - 172, 2014. (1015.76 KB)
R. L. Viana, Mugnaine, M., and Caldas, I. L., “Hamiltonian description for magnetic field lines in fusion plasmas: A tutorial”, Physics of Plasmas, vol. 30, no. 9, p. 090901, 2023. (1.64 MB)
R. L. Viana, Mathias, A. C., Marcus, F. A., Kroetz, T., and Caldas, I. L., “Fractal boundaries in chaotic hamiltonian systems”, Journal of Physics: Conference Series, vol. 911, p. 012002, 2017. (3.79 MB)
R. L. Viana and Caldas, I. L., “Contribuições pioneiras à Física de Plasmas no Brasil”, Revista Brasileira de Ensino de Física, vol. 45, 2023. (8.34 MB)
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)