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.

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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.

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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.

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R. L. Viana, Mathias, A. C., Souza, L. C., and Haerter, P., “Fractal structures in the chaotic advection of passive scalars in leaky planar hydrodynamical flows”, Chaos: An Interdisciplinary Journal of Nonlinear Science, no. 5, 2024.

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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.

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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.

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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.

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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.

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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.

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E. C. Gabrick, Brugnago, E. L., de Souza, S. L. T., Iarosz, K. C., Szezech, J. D., Viana, R. L., Caldas, I. L., Batista, A. M., and Kurths, ürgen, “Impact of periodic vaccination in SEIRS seasonal model”, Chaos: An Interdisciplinary Journal of Nonlinear Science, no. 1, 2024.

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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.

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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.

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T. Kroetz, Roberto, M., Caldas, I. L., Viana, R. L., Morrison, P. J., and Abbamonte, P., “Integrable maps with non-trivial topology: application to divertor configurations”, Nuclear Fusion, vol. 50, no. 3, p. 034003, 2010.

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M. Mugnaine, Leal, B. B., Caldas, I. L., de Almeida, A. M. Ozorio, and Viana, R. L., “Isochronous bifurcations in a two-parameter twist map”, Physical Review E, vol. 110, no. 2, 2024.

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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.

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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.

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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.

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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.

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I. L. Caldas, Pereira, J. M., Ullmann, K., and Viana, R. L., “Magnetic field line mappings for a tokamak with ergodic limiters”, Chaos, Solitons & Fractals, vol. 7, no. 7, pp. 991 - 1010, 1996.

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M. Roberto, da Silva, E. C., Caldas, I. L., and Viana, R. L., “Magnetic trapping caused by resonant perturbations in tokamaks with reversed magnetic shear”, Physics of Plasmas, vol. 11, no. 1, pp. 214 - 225, 2004.

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F. F. de Carvalho, Viana, R. L., and Caldas, I. L., “Magnetohydrostatic Equilibrium with External Gravitational Fields in Symmetric Systems”, Brazilian Journal of Physics, 2016.

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S. L. T. de Souza, Caldas, I. L., and Viana, R. L., “Multistability and Self-Similarity in the Parameter-Space of a Vibro-Impact System”, Mathematical Problems in Engineering, vol. 2009464610, no. 5, pp. 1 - 11, 2009.

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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.

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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.

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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.

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