Papers

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T. F. Viscondi, Caldas, I. L., and Morrison, P. J., Beatification: Flattening the Poisson bracket for two-dimensional fluid and plasma theories, Physics of Plasmas, vol. 24, no. 3, p. 032102, 2017. (340.76 KB)
T. F. Viscondi, Caldas, I. L., and Morrison, P. J., A method for Hamiltonian truncation: a four-wave example, Journal of Physics A: Mathematical and Theoretical, vol. 49, no. 16, p. 165501, 2016. (632.13 KB)
T. F. Viscondi, Grigolo, A., Caldas, I. L., and Meneghini, J. R., Slippery-sticky transition of interfacial fluid slip, Physics of Fluids, vol. 332856165, no. 6, p. 062012, 2021. (877.45 KB)
T. F. Viscondi, Grigolo, A., Aranha, J. A. P., PIQUEIRA, J. R. C., Caldas, I. L., and Meneghini, J. R., Multiscale Approach to Fluid-Solid Interfaces: An Overview of Methodologies Coupling Fluid Mechanics to Molecular Dynamicsand Quantum Theory, Polytechnica, vol. 2, pp. 77 - 86, 2019. (615.3 KB)
R. D. Vilela and de Oliveira, V. M., A map for heavy inertial particles in fluid flows, The European Physical Journal Special Topics, vol. 226, pp. 2079–2088, 2017. (864.04 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, 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 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, 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, 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)
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, 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., 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, 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, 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)
M. T. Van Kan, Trobia, J., Protachevicz, P. R., Santos, M. S., Ferrari, F. A. S., Bonetti, R. C., Costa, D. R., Szezech, J. D., Caldas, I. L., Batista, A. Marcos, and Iarosz, K. C., Synchronization of coupled neurons in a master-slave configuration, Mathematics in Engineering, Science and Aerospace, vol. 10, no. 1, pp. 55-64, 2019. (2.41 MB)