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. C. de Sousa, Schelin, A. B., Marcus, F. A., Viana, R. L., and Caldas, I. L., “Internal energy exchanges and chaotic dynamics in an intrinsically coupled system”, Physics Letters A, vol. 453, p. 128481, 2022.

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Y. K. Kuznetsov, Nascimento, I. C., Silva, C., Figueiredo, H., Guimarães-Filho, Z. O., Caldas, I. L., Galvão, R. M. O., Severo, J. H. F., Toufen, D. L., Ruchko, L. F., Elfimov, A. G., Elizondo, J. I., de Sá, W. P., Usuriaga, O., Sanada, E., Melnikov, A. V., Gryaznevich, M. P., M. Alonso, P., Reis, A. P., Machida, M., Trembach, D. J., Germano, T. M., Narayanan, R., Ghoranneviss, M., Arvin, R., Mohammadi, S., Tekieh, S. R. S., Borges, F. O., Bellintani, V., Canal, G. P., Duarte, P., de Castro, R. M., Vorobyov, G., Mizintseva, M., Moiseenko, V. E., F. Nascimento, do, Ronchi, G., and Schmutzler, L. M. F., “Long-distance correlations in TCABR biasing experiments”, Nuclear Fusion, vol. 52, no. 6, p. 063004, 2012.

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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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 (1.32 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.

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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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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.

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é Trobia, Tian, K., Batista, A. M., Grebogi, C., Ren, H. - P., Santos, M. S., Protachevicz, P. R., Borges, F. S., Szezech, éD., Viana, R. L., Caldas, êL., and Iarosz, K. C., “Mathematical model of brain tumour growth with drug resistance”, Communications in Nonlinear Science and Numerical Simulation, vol. 1032896430707936116163653814863422019136642511161563582076583681114159563521251321789153751459470, p. 106013, 2021.

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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.

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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.

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E. L. Brugnago, Gabrick, E. C., Iarosz, K. C., Szezech, J. D., Viana, R. L., Batista, A. M., and Caldas, I. L., “Multistability and chaos in SEIRS epidemic model with a periodic time-dependent transmission rate”, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 33, no. 12, p. 123123, 2023.

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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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P. R. Protachevicz, Santos, M. S., SEIFERT, E. G., GABRICK, E. C., Borges, F. S., Borges, R. R., Trobia, J., SZEZECH, JR, J. D., Iarosz, K. C., Caldas, I. L., Antonopoulos, C. G., XU, Y., Viana, R. L., and Batista, A. M., “Noise induces continuous and noncontinuous transitions in neuronal interspike intervals range”, Indian Academy of Sciences Conference Series, vol. 3, 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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S. L. T. de Souza, Batista, A. Marcos, Caldas, I. L., Viana, R. L., and Kapitaniak, T., “Noise-induced basin hopping in a vibro-impact system”, Chaos, Solitons & Fractals, vol. 32, no. 2, pp. 758 - 767, 2007.

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Á. G. López, Iarosz, K. C., Batista, A. Marcos, Seoane, J. M., Viana, R. L., and Sanjuan, M. A. F., “Nonlinear cancer chemotherapy: Modelling the Norton-Simon hypothesis”, Communications in Nonlinear Science and Numerical Simulation, vol. 70, pp. 307 - 317, 2019.

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A. Gusso, Viana, R. L., Mathias, A. C., and Caldas, I. L., “Nonlinear dynamics and chaos in micro/nanoelectromechanical beam resonators actuated by two-sided electrodes”, Chaos, Solitons & Fractals, vol. 122, pp. 6 - 16, 2019.

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A. Marcos Batista, Caldas, I. L., Lopes, S. R., Viana, R. L., Horton, W., and Morrison, P. J., “Nonlinear three-mode interaction and drift-wave turbulence in a tokamak edge plasma”, Physics of Plasmas, vol. 13, no. 4, p. 042510, 2006.

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M. Mugnaine, Caldas, I. L., Szezech, J. D., and Viana, R. L., “Nontwist field line mapping in a tokamak with ergodic magnetic limiter”, Physical Review E, vol. 108, no. 5, p. 055206, 2023.

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 (1.7 MB)