Papers

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Journal Article
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)
E. C. da Silva, Caldas, I. L., and Viana, R. L., Ergodic magnetic limiter for the TCABR, Brazilian Journal of Physics, vol. 32, no. 1, 2002. (5.84 MB)
E. C. da Silva, Caldas, I. L., Viana, R. L., and Sanjuan, M. A. F., Escape patterns, magnetic footprints, and homoclinic tangles due to ergodic magnetic limiters, Physics of Plasmas, vol. 9, no. 12, pp. 4917 - 4928, 2002. (502.88 KB)
T. Kroetz, Roberto, M., da Silva, E. C., Caldas, I. L., and Viana, R. L., Escape patterns of chaotic magnetic field lines in a tokamak with reversed magnetic shear and an ergodic limiter, Physics of Plasmas, vol. 15, no. 9, p. 092310, 2008. (2.17 MB)
E. C. da Silva, Roberto, M., PORTELA, J. S. E., Caldas, I. L., and Viana, R. L., Escaping and transport barrier due to ergodic magnetic limiters in tokamaks with reversed magnetic shear, Nuclear Fusion, vol. 46, no. 4, pp. S192 - S198, 2006. (1.21 MB)
L. A. Osorio-Quiroga, Grime, G. C., Roberto, M., Viana, R. L., Elskens, Y., and Caldas, I. L., ExB Drift Particle Transport in Tokamaks, Brazilian Journal of Physics, vol. 53, 2023. (4 MB)
E. C. da Silva, Caldas, I. L., and Viana, R. L., Field line diffusion and loss in a tokamak with an ergodic magnetic limiter, Physics of Plasmas, vol. 8, no. 6, pp. 2855 - 2865, 2001. (502.88 KB)
J. D. Szezech, Schelin, A. B., Caldas, I. L., Lopes, S. R., Morrison, P. J., and Viana, R. L., Finite-time rotation number: A fast indicator for chaotic dynamical structures, Physics Letters A, vol. 377, no. 6, pp. 452 - 456, 2013. (1.02 MB)
J. D. Szezech, Schelin, A. B., Caldas, I. L., Lopes, S. R., Morrison, P. J., and Viana, R. L., Finite-time rotation number: A fast indicator for chaotic dynamical structures, Physics Letters A, vol. 377, no. 6, pp. 452 - 456, 2013. (1.02 MB)
J. D. Szezech, Schelin, A. B., Caldas, I. L., Lopes, S. R., Morrison, P. J., and Viana, R. L., Finite-time rotation number: A fast indicator for chaotic dynamical structures, Physics Letters A, vol. 377, no. 6, pp. 452 - 456, 2013. (1.02 MB)
L. C. Souza, Mathias, A. C., Caldas, I. L., Elskens, Y., and Viana, R. L., Fractal and Wada escape basins in the chaotic particle drift motion in tokamaks with electrostatic fluctuations, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 33, no. 8, 2023. (7.63 MB)
J. S. E. PORTELA, Caldas, I. L., Viana, R. L., and Sanjuan, M. A. F., FRACTAL AND WADA EXIT BASIN BOUNDARIES IN TOKAMAKS, International Journal of Bifurcation and Chaos, vol. 17, no. 11, pp. 4067 - 4079, 2007. (1.94 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)
A. C. Mathias, Souza, L. C., Schelin, A. R., Caldas, I. L., and Viana, R. L., Fractal Escape Basins for Magnetic Field Lines in Fusion Plasma Devices, Journal of Applied Nonlinear Dynamics, vol. 12, no. 4, pp. 723 - 738, 2023. (1.43 MB)
A. C. Mathias, Perotto, G., Viana, R. L., Schelin, A., and Caldas, I. L., Fractal Structures and Magnetic Footprints in a Divertor Tokamak, International Journal of Bifurcation and Chaos, vol. 32, no. 06, 2022. (11.46 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)
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)
E. E. D. E. S. O. U. Z. A. FILHO, MATHIAS, A. C., Caldas, I. L., and Viana, R. L., Fractal structures in the deflection of light by a pair of Schwarzschild black holes, Indian Academy of Sciences Conference Series, vol. 3, 2020.
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)
E. C. Gabrick, Sales, M. R., Sayari, E., Trobia, J., Lenzi, E. K., Borges, F. S., Szezech, J. D., Iarosz, K. C., Viana, R. L., Caldas, I. L., and Batista, A. M., Fractional Dynamics and Recurrence Analysis in Cancer Model, Brazilian Journal of Physics, vol. 53, no. 145, pp. 1-11, 2023. (7.56 MB)
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)
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)
S. L. T. de Souza, Caldas, I. L., Viana, R. L., Balthazar, J. M., and Brasil, R. M. L. R. F., Impact dampers for controlling chaos in systems with limited power supply, Journal of Sound and Vibration, vol. 279, no. 3-5, pp. 955 - 967, 2005. (1005.25 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)
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)

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