Papers

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Journal Article
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)
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)
M. H. Benetti, Silveira, F. E. M., and Caldas, I. L., “Fundamental solution of diffusion equation for Kappa gas: Diffusion length for suprathermal electrons in solar wind”, Physical Review E, vol. 107, no. 5, 2023. (536.08 KB)
M. A. Garms, Andrade, M. T. C., and Caldas, I. L., “Fuzzy computational control for real Chua circuit”, Chaos, Solitons & Fractals, vol. 39, no. 5, pp. 2169 - 2178, 2009. (301.76 KB)
T. Kroetz, Livorati, A. L. P., Leonel, E. D., and Caldas, I. L., “Global ballistic acceleration in a bouncing-ball model”, Physical Review E, vol. 92, no. 1, 2015. (7.55 MB)
T. Pereira, Baptista, M. S., Reyes, M. B., Caldas, I. L., Sartorelli, J. C., and Kurths, J., “Global bifurcation destroying the experimental torus”, Physical Review E, vol. 73, no. 1, 2006. (368.53 KB)
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)
D. R. de Lima and Caldas, I. L., “Growth and performance of the periodic orbits of a nonlinear driven oscillator”, Chaos, Solitons & Fractals, vol. 150, p. 111102, 2021. (5.68 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. O. Medrano-T, Baptista, M. S., and Caldas, I. L., “Homoclinic orbits in a piecewise system and their relation with invariant sets”, Physica D: Nonlinear Phenomena, vol. 186, no. 3-4, pp. 133 - 147, 2003. (860.19 KB)
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)
E. S. Medeiros, Medrano-T, R. O., Caldas, I. L., and Feudel, U., “The impact of chaotic saddles on the synchronization of complex networks of discrete-time units”, Journal of Physics: Complexity, vol. 2, no. 3, p. 035002, 2021. (1.03 MB)
C. V. Abud and Caldas, I. L., “Impact of punctual flat magnetic shear on the field line transport”, Physics of Plasmas, vol. 22, no. 6, p. 062510, 2015. (3.67 MB)
M. C. de Sousa and Caldas, I. L., “Improving particle beam acceleration in plasmas”, Physics of Plasmas, vol. 25, no. 4, p. 043110, 2018. (1.71 MB)
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)
P. R. Protachevicz, Iarosz, K. C., Caldas, I. L., Antonopoulos, C. G., Batista, A. Marcos, and Kurths, J., “Influence of Autapses on Synchronization in Neural Networks With Chemical Synapses”, Frontiers in Systems Neuroscience, vol. 14, p. 604563, 2020. (618.64 KB)
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)
P. R. Protachevicz, Borges, F. S., Iarosz, K. C., Baptista, M. S., Lameu, E. L., Hansen, M., Caldas, I. L., Szezech, J. D., Batista, A. Marcos, and Kurths, J., “Influence of Delayed Conductance on Neuronal Synchronization”, Frontiers in Physiology, vol. 11, p. 1053, 2020. (947.18 KB)
R. M. Castro, HELLER, M. V. A. P., Caldas, I. L., Bası́lio, Z. A., da Silva, R. P., and Nascimento, I. C., “Influence of resonant magnetic perturbations on plasma edge turbulence”, Physics of Plasmas, vol. 4, no. 2, pp. 329 - 336, 1997. (163.68 KB)

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