Papers

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Journal Article
R. O. Medrano-T, Baptista, M. S., and Caldas, I. L., Basic structures of the Shilnikov homoclinic bifurcation scenario, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 15, no. 3, p. 033112, 2005. (795.87 KB)
P. Haerter, de Souza, L. C., Mathias, A. C., Viana, R. L., and Caldas, I. L., Basin Entropy and Wada Property of Magnetic Field Line Escape in Toroidal Plasmas with Reversed Shear, International Journal of Bifurcation and Chaos, vol. 33, no. 09, 2023. (14.09 MB)
M. S. Santos, Borges, F. S., Iarosz, K. C., Caldas, I. L., Szezech, J. D., Viana, R. L., Baptista, M. S., and Batista, A. Marcos, Basin of attraction for chimera states in a network of Rössler oscillators, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 305, no. 8, p. 083115, 2020. (4.42 MB)
M. S. Santos, Borges, F. S., Iarosz, K. C., Caldas, I. L., Szezech, J. D., Viana, R. L., Baptista, M. S., and Batista, A. Marcos, Basin of attraction for chimera states in a network of Rössler oscillators, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 305, no. 8, p. 083115, 2020. (241.62 KB)
S. L. T. de Souza and Caldas, I. L., Basins of Attraction and Transient Chaos in a Gear-Rattling Model, Journal of Vibration and Control, vol. 7, no. 6, pp. 849 - 862, 2001. (650.57 KB)
S. L. T. de Souza, Caldas, I. L., Viana, R. L., Balthazar, J. M., and Brasil, R. M. L. R. F., Basins of attraction changes by amplitude constraining of oscillators with limited power supply, Chaos, Solitons & Fractals, vol. 26, no. 4, pp. 1211 - 1220, 2005. (743.23 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)
G. Z. dos Sant Lima, Guimarães-Filho, Z. O., Batista, A. Marcos, Caldas, I. L., Lopes, S. R., Viana, R. L., Nascimento, I. C., and Kuznetsov, Y. K., Bicoherence in electrostatic turbulence driven by high magnetohydrodynamic activity in Tokamak Chauffage Alfvén Brésilien, Physics of Plasmas, vol. 16, no. 4, p. 042508, 2009. (915.15 KB)
G. Corso, Pakter, R., Caldas, I. L., and Rizzato, F. B., Bifurcation-reconnection sequences in nonpendular resonance, Chaos, Solitons & Fractals, vol. 9, no. 3, pp. 377 - 392, 1998. (1.01 MB)
E. C. da Silva, Caldas, I. L., and Viana, R. L., Bifurcations and onset of chaos on the ergodic magnetic limiter mapping, Chaos, Solitons & Fractals, vol. 14, no. 3, pp. 403 - 423, 2002. (1.72 MB)
G. Grime, Roberto, M., Viana, R. L., Elskens, Y., and Caldas, I. L., Biquadratic nontwist map: a model for shearless bifurcations, Chaos, Solitons & Fractals, vol. 169, p. 113231, 2023. (3.14 MB)
P. R. Protachevicz, Borges, F. S., Lameu, E. L., Ji, P., Iarosz, K. C., Kihara, A. H., Caldas, I. L., Szezech, J. D., Baptista, M. S., Macau, E. E. N., Antonopoulos, C. G., Batista, A. Marcos, and Kurths, J., Bistable Firing Pattern in a Neural Network Model, Frontiers in Computational Neuroscience, vol. 13, no. 19, 2019. (3.79 MB)
C. G. L. Martins, Marcus, F. A., Caldas, I. L., and R. de Carvalho, E., Blocking Radial Diffusion in a Double-Waved Hamiltonian Model, Journal of Physics: Conference Series, vol. 285, p. 012011, 2011. (5.49 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)
E. S. Medeiros, Medrano-T, R. O., Caldas, I. L., and Feudel, U., Boundaries of synchronization in oscillator networks, Physical Review E, vol. 98, p. 030201(R), 2018. (1.36 MB)
J. D. V. Hermes, Reis, M. A. dos, Caldas, I. L., and Leonel, E. D., Break-up of invariant curves in the Fermi-Ulam model, Chaos, Solitons & Fractals, vol. 162, p. 112410, 2022. (8.2 MB)
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)
F. A. C. Pereira, Toufen, D. L., Guimarães-Filho, Z. O., Caldas, I. L., and Gentle, K. W., Burst propagation in Texas Helimak, Plasma Physics and Controlled Fusion, vol. 58, no. 5, p. 054007, 2016. (3.59 MB)
F. A. C. Pereira, Hernandez, W. A., Toufen, D. L., Guimarães-Filho, Z. O., Caldas, I. L., and Gentle, K. W., Burst temperature from conditional analysis in Texas Helimak and TCABR tokamak, Physics of Plasmas, vol. 25, no. 4, p. 042301, 2018. (1.72 MB)
A. S. Reis, Iarosz, K. C., Ferrari, F. A. S., Caldas, I. L., Batista, A. Marcos, and Viana, R. L., Bursting synchronization in neuronal assemblies of scale-free networks, Chaos, Solitons & Fractals, vol. 142, p. 110395, 2021. (1.4 MB)