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, 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, 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)