Papers

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F. E. M. Silveira, Benetti, M. H., Caldas, I. L., and Santos, K. N. M. M., Description limit for soliton waves due to critical scaling of electrostatic potential, Physics of Plasmas, vol. 2826731146, no. 9, p. 092115, 2021. (559.76 KB)
F. E. M. Silveira, Benetti, M. H., and Caldas, I. L., Suprathermal corrections to Bohm–Gross dispersion, Physics of Plasmas, vol. 29, no. 5, p. 052113, 2022. (702.92 KB)
F. E. M. Silveira, Camargo, R. S., and Caldas, I. L., Concentration discontinuity of alkalies at high pressures, Physics Letters A, vol. 395, p. 127207, 2021. (219.13 KB)
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)
F. G. Souza, Grime, G., and Caldas, I. L., Standard twist and non-twist maps, Revista Brasileira de Ensino de Física, vol. 453, 2023. (8.81 MB)
L. C. Souza, Sales, M. R., Mugnaine, M., Szezech, J. D., Caldas, I. L., and Viana, R. L., Chaotic escape of impurities and sticky orbits in toroidal plasmas, Physical Review E, vol. 109, no. 1, 2024. (7.38 MB)
D. L. M. Souza, Borges, F. S., Gabrick, E. C., Bentivoglio, L. E., Protachevicz, P. R., Santos, Vdos, Viana, R. L., Caldas, I. L., Iarosz, K. C., Batista, A. M., and Kurths, J., Spiral wave dynamics in a neuronal network modelAbstract, Journal of Physics: Complexity, no. 2, p. 025010, 2024. (229.07 KB)
D. L. M. Souza, Gabrick, E. C., Protachevicz, P. R., Borges, F. S., Trobia, J., Iarosz, K. C., Batista, A. M., Caldas, I. L., and Lenzi, E. K., Adaptive exponential integrate-and-fire model with fractal extension, Chaos: An Interdisciplinary Journal of Nonlinear Science, no. 2, 2024. (1.51 MB)
J. Stöckel, Badalec, J., Duran, I., Hron, M., Horácek, J., Jakubka, K., Kryska, L., Petrzilka, J., Kácek, F., HELLER, M. V. A. P., Brasilio, Z. A., and Caldas, I. L., Magnetic and electrostatic fluctuations in the CASTOR tokamak, Plasma Physics and Controlled Fusion, vol. 41, no. 3A, pp. A577 - A585, 1999. (403.33 KB)
J. D. Szezech, Lopes, S. R., Viana, R. L., and Caldas, I. L., Bubbling transition to spatial mode excitation in an extended dynamical system, Physica D: Nonlinear Phenomena, vol. 238, no. 5, pp. 516 - 525, 2009. (4.06 MB)
J. D. Szezech, Caldas, I. L., Lopes, S. R., Viana, R. L., and Morrison, P. J., Transport properties in nontwist area-preserving maps, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 19, no. 4, p. 043108, 2009. (3.71 MB)
J. D. Szezech, Caldas, I. L., Lopes, S. R., Morrison, P. J., and Viana, R. L., Effective transport barriers in nontwist systems, Physical Review E, vol. 86, no. 3, 2012. (4.36 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)
J. D. Szezech, Lopes, S. R., Caldas, I. L., and Viana, R. L., Blowout bifurcation and spatial mode excitation in the bubbling transition to turbulence, Physica A: Statistical Mechanics and its Applications, vol. 390, no. 2, pp. 365 - 373, 2011. (980.21 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)
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T. Kroetz, Livorati, J. L. P., Leonel, E. D., and Caldas, I. L., Springer Proceedings in PhysicsNonlinear Dynamics: Materials, Theory and ExperimentsHidden High Period Accelerator Modes in a Bouncer Model, vol. 173. Cham: Springer International Publishing, 2015, pp. 179 - 191. (535.83 KB)
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)
D. L. Toufen, Pereira, F. A. C., Guimarães-Filho, Z. O., Caldas, I. L., and Gentle, K. W., Electrostatic turbulence intermittence driven by biasing in Texas Helimak, Physics of Plasmas, vol. 21, no. 12, p. 122302, 2014. (1.25 MB)
D. L. Toufen, Guimarães-Filho, Z. O., Caldas, I. L., Marcus, F. A., and Gentle, K. W., Turbulence driven particle transport in Texas Helimak, Physics of Plasmas, vol. 19, no. 1, p. 012307, 2012. (2.65 MB)
D. L. Toufen, Pereira, F. A. C., ães-Filho, Z. O., Caldas, I. L., and Gentle, K. W., Gradient-driven turbulence in Texas Helimak, Physics of Plasmas, vol. 29, no. 4, p. 042303, 2022. (2.2 MB)
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)
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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)

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