Papers

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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. (615.3 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, 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, 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)
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 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, 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, 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., 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, 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, 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, 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, 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)
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)
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K. Ullmann and Caldas, I. L., A symplectic mapping for the ergodic magnetic limiter and its dynamical analysis, Chaos, Solitons & Fractals, vol. 11, no. 13, pp. 2129 - 2140, 2000. (1.54 MB)
K. Ullmann and Caldas, I. L., Transitions in the parameter space of a periodically forced dissipative system, Chaos, Solitons & Fractals, vol. 7, no. 11, pp. 1913 - 1921, 1996. (1.42 MB)
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J. O. S. É. TROBIA, GABRICK, E. N. R. I. Q. U. E. C., SEIFERT, E. V. A. N. D. R. O. G., Borges, F. S., PROTACHEVICZ, P. A. U. L. O. R., SZEZECH, JR, J. O. S. É. D., Iarosz, K. C., SANTOS, M. O. I. S. E. S. S., Caldas, I. L., TIAN, K. U. N., Ren, H. - P., Grebogi, C., and Batista, A. M., Effects of drug resistance in the tumour-immune system with chemotherapy treatment, Indian Academy of Sciences Conference Series, vol. 3, 2020. (1004.52 KB)
J. Trobia, de Souza, S. L. T., Santos, M. A. dos, Szezech, J. D., Batista, A. M., Borges, R. R., Pereira, Lda S., Protachevicz, P. R., Caldas, I. L., and Iarosz, K. C., On the dynamical behaviour of a glucose-insulin model, Chaos, Solitons & Fractals, vol. 155, p. 111753, 2022. (6.27 MB)
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. (1.41 MB)
D. L. Toufen, Guimarães-Filho, Z. O., Caldas, I. L., Szezech, J. D., Lopes, S. R., Viana, R. L., and Gentle, K. W., Analysis of the influence of external biasing on Texas Helimak turbulence, Physics of Plasmas, vol. 20, no. 2, p. 022310, 2013. (1.1 MB)

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