Papers

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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. (1.7 MB)
M. Mugnaine, Batista, A. M., Caldas, I. L., Szezech, J. D., and Viana, R. L., Ratchet current in nontwist Hamiltonian systems, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 30, p. 093141, 2020.
M. Mugnaine, Batista, A. Marcos, Caldas, I. L., Szezech, J. D., de Carvalho, R. E., and Viana, R. L., Curry–Yorke route to shearless attractors and coexistence of attractors in dissipative nontwist systems, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 31386, no. 2, p. 023125, 2021. (5.82 MB)
M. Mugnaine, Reis, A. S., Borges, F. S., Borges, F. S., Ferrari, F. A. S., Iarosz, K. C., Caldas, I. L., Lameu, E. L., Viana, R. L., Szezech, J. D., Kurths, J., and Batista, A. Marcos, Delayed feedback control of phase synchronisation in a neuronal network model, The European Physical Journal Special Topics, vol. 227, no. 10-11, pp. 1151 - 1160, 2018. (1.06 MB)
M. Mugnaine, Gabrick, E. C., Protachevicz, P. R., Iarosz, K. C., de Souza, S. L. T., Almeida, A. C. L., Batista, A. M., Caldas, êL., Jr, éD. Szezech, and Viana, R. L., Control attenuation and temporary immunity in a cellular automata SEIR epidemic model, Chaos, Solitons & Fractals, vol. 155, p. 111784, 2022. (8.36 MB)
L. H. A. Monteiro, Kucinski, M. Y., and Caldas, I. L., Coupling of modes in RFPs: an analytical approach, Plasma Physics and Controlled Fusion, vol. 37, no. 5, pp. 541 - 550, 1995. (400.04 KB)
L. H. A. Monteiro, Okano, V., Kucinski, M. Y., and Caldas, I. L., Magnetic structure of toroidal helical fields in tokamaks, Physics Letters A, vol. 193, no. 1, pp. 89 - 93, 1994. (311.34 KB)
C. F. O. Mendes, Brugnago, E. L., Beims, M. W., and Grimm, A. M., Temporal relation between human mobility, climate, and COVID-19 disease, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 33, no. 5, 2023. (1.73 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)
R. O. Medrano-T, Moura, A., Tél, T., Caldas, I. L., and Grebogi, C., Finite-size particles, advection, and chaos: A collective phenomenon of intermittent bursting, Physical Review E, vol. 78, no. 5, 2008. (12.15 MB)
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)
R. O. Medrano-T, Baptista, M. S., and Caldas, I. L., Shilnikov homoclinic orbit bifurcations in the Chua’s circuit, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 16, no. 4, p. 043119, 2006. (737.16 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)
E. S. Medeiros, Medrano-T, R. O., Caldas, I. L., and de Souza, S. L. T., Torsion-adding and asymptotic winding number for periodic window sequences, Physics Letters A, vol. 377, no. 8, pp. 628 - 631, 2013.
E. S. Medeiros, Caldas, I. L., and Baptista, M. S., Sensitive dependence on parameters of continuous-time nonlinear dynamical systems, Chaos, Solitons & Fractals, vol. 99, pp. 16 - 19, 2017. (751.48 KB)
E. S. Medeiros, de Souza, S. L. T., Medrano-T, R. O., and Caldas, I. L., Periodic window arising in the parameter space of an impact oscillator, Physics Letters A, vol. 374, no. 26, pp. 2628 - 2635, 2010.
E. S. Medeiros, Medrano-T, R. O., Caldas, I. L., Tél, T., and Feudel, U., State-dependent vulnerability of synchronization, Physical Review E, vol. 100, no. 5, 2019. (1.15 MB)
E. S. Medeiros, Caldas, I. L., Baptista, M. S., and Feudel, U., Trapping Phenomenon Attenuates the Consequences of Tipping Points for Limit Cycles, Scientific Reports, vol. 7, p. 42351, 2017. (1.62 MB)
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)
E. S. Medeiros, de Souza, S. L. T., Medrano-T, R. O., and Caldas, I. L., Replicate periodic windows in the parameter space of driven oscillators, Chaos, Solitons & Fractals, vol. 44, no. 11, pp. 982 - 989, 2011.
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, 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)
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)
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)
C. G. L. Martins, Marcus, F. A., Caldas, I. L., and R. de Carvalho, E., Robust tori in a double-waved Hamiltonian model, Physica A: Statistical Mechanics and its Applications, vol. 389, no. 23, pp. 5511 - 5514, 2010. (653.81 KB)

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