A. S. Reis, E. L. Brugnago, R. L. Viana, A. M. Batista, K. C. Iarosz, and I. L. Caldas, Effects of time-delayed feedback in a small-world neuronal network interconnected according to a human connectivity map, Neurocomputing, submetido
P. Haerter and R. L. Viana, Synchronization of phase oscillators due to nonlocal coupling mediated by the slow diffusion of a substance, Communications in Nonlinear Science and Numerical Simulation, submetido
D. R. da Costa, J. G. S. Rocha, L. S. de Paiva, C. Eduardo, M. Hansen, A. A. da Silva, J. D. V. Hermes, R. L. Viana, I. L. Caldas, R. O. Medrano, A recursive method to find the extreme and superstable curves in the parameter space of dissipative one-dimensional mappings, Communications in Nonlinear Science and Numerical Simulation, a ser submetido
L. S. de Paiva, J. G. S. Rocha, J. D. V. Hermes, M. Hansen, A. A. A. da Silva, R. O. Medrano, R. L. Viana, I. L. Caldas, and D. R. da Costa, Dynamical properties of the compused Logistic-Gauss map, Communications in Nonlinear Science and Numerical Simulation, a ser submetido
C. A. S. Batista, S. T. da Silva, R. L. Viana, Characterization of chimeras in coupled phase oscillators based on a coherence function, Communications in Nonlinear Science and Numerical Simulation , submetido
S. T. da Silva, M. F. de Godoy, M. L. Gregorio, R. L. Viana, A. M. Batista, Analysis of heartbeat time series via machine learning for detection of illnesses, Physica A, submetido
A. Gusso, S. Ujevic and R. L. Viana, Enhanced complexity of chaos in micro/nanoelectromechanical beam resonators under two-frequency excitation, Communications in Nonlinear Science and Numerical Simulation, aceito para publicação
A. C. Mathias, L. C. de Souza, A. B. Schelin, I. L. Caldas, and R. L. Viana, Fractal escape basins for magnetic field lines in fusion devices, International Journal of Applied Nonlinear Dynamics,
2022
A. C. Mathias, G. Perotto, A. B. Schelin, I. L. Caldas, and R. L. Viana, Fractal structures and magnetic footprints in a divertor tokamak, International Journal of Bifurcation and Chaos, Vol. 32, n. 6 (2022) article 2250078, DOI: 10.1142/S021812742250078X,
M. R. Sales, M. Mugnaine, R. L. Viana, I. L. Caldas, J. D. Szezech Jr, Unpredictability in Hamiltonian systems with a hierarchical phase space, Physics Letters A, Vol. 431 (2022) article 127991, DOI 10.1016/j.physleta.2022.127991, PDF
A. S. Reis, I. L. Caldas, R. L. Viana, Sobre vagalumes, pedestres e neurônios: a sincronização de osciladores de fase, Revista Brasileira de Ensino de Física, Vol. 44 (2022) e20210368, DOI 10.1590/1806-9126-RBEF-2021-0368, PDF
S. T. da Silva, C. A. S. Batista, and R. L. Viana, Machine learning applied to pattern characterization in spatially extended dynamical systems, Physica A, Vol. 592 (2022) article 126823, DOI 10.1016/j.physa.2021.126823, PDF
M. Mugnaine, E. C. Gabrick, P. R. Protachevicz, K. C. Iarosz, S. L. T. de Souza, A. C. L. Almeida, A. M. Batista, I. L. Caldas , J. D. Szezech Jr., R. L. Viana, Control attenuation and temporary immunity in a cellular automata SEIR epidemic model, Chaos, Solitons and Fractals , Vol. 155 (2022) article 11784, DOI 10.1016/j.chaos.2021.111784, PDF
2021
J. Trobia, T. Kun, A. M. Batista, C. Grebogi, H.-P. Ren, M. S. Santos, P. R. Protachevicz, F. S. Borges, J. D. Szezech Jr, R. L. Viana, and I. L. Caldas, Mathematical model of brain tumour growth with drug resistance, Communications in Nonlinear Science and Numerical Simulation , Vol. 103 (2021) article 106013, DOI 10.1016/j.cnsns.2021.106013, PDF
A. S. Reis, E. L. Brugnago, I. L. Caldas, A. M. Batista, K. C. Iarosz, F. A. S. Ferrari, and R. L. Viana, Suppression of chaotic bursting synchronization in clustered scale-free networks by an external feedback signal, Chaos, Vol. 31 (2021) article 083128, DOI: 10.1063/5.0056672, PDF
L. Osorio, M. Roberto, I. L. Caldas, R. L. Viana, and Y. Elskens, Onset of internal transport barriers in tokamaks, Physics of Plasmas, Vol. 28 (2021) article 082305, DOI: 10.1063/5.0056428, PDF
J. V. Gomes, M. C. de Sousa, R. L. Viana, I. L. Caldas, and Y. Elskens, Low-dimensional chaos in the single wave model for self-consistent wave-particle Hamiltonian, Chaos, Vol. 31 (2021) article 083104, DOI: 10.1063/5.0040939, PDF
E. E. de Souza Filho, A. C. Mathias, and R. L. Viana, Fractal structures in the deflection of light by a pair of charged black holes, Chaos, Solitons and Fractals, Vol. 150 (2021) article 111139, DOI 10.1016/j.chaos.2021.111139, PDF
R. L. Viana, I. L. Caldas, J. D. Szezech Jr., A. M. Batista, C. Abud, A. B. Schelin, M. Mugnaine, M. S. Santos, B. Alves, B. Bartoloni, A. C. Mathias, J. V. Gomes, and P. J. Morrison, Transport barriers in symplectic maps, Brazilian Journal of Physics, Vol. 51 (2021) pages 899-909, DOI: 10.1007/s13538-021-00894-8, PDF
F. Pereira, D. Toufen, Z. Guimarães-Filho, I. L. Caldas, R. L. Viana, and K. Gentle, Coexistence of Turbulence Regimes in the Texas Helimak, Physics of Plasmas, Vol. 28, March (2021) Article 032301, DOI: 10.1063/5.0033381, PDF
M. Mugnaine, A. M. Batista, I. L. Caldas, J. D. Szezech Jr, R. E de Carvalho, and R. L. Viana, Curry-Yorke route to shearless attractors and coexistence of attractors in dissipative nontwist systems, Chaos, Vol. 31, February (2021) Article: 023125, DOI: 10.1063/5.0035303, PDF
J. Paludo, P. R. Protachevicz, A. M. Batista, R. L. Viana, Effects of burst-timing-dependent plasticity on synchronous behaviour in a neuronal network, Neurocomputing, Vol. 436, May (2021) Pages 126-135, DOI: 10.1016/j.neucom.2021.01.044, PDF
M. S. Santos, P. R. Protachevicz, I. L. Caldas, K. C. Iarosz, R. L. Viana, J. D. Szezech Jr., S. L. T. de Souza, and A. M. Batista, Spiral wave chimera states in regular and fractal neuronal networks, Journal of Physics Complexity, Vol. 2 (2012) Article 015006, DOI: 10.1088/2632-072X/abcd14, PDF
A. S. Reis, K. C. Iarosz, F. A. F. Ferrari, I. L. Caldas, A. M. Batista, and R. L. Viana, Bursting synchronisation in neuronal assemblies of scale-free networks, Chaos, Solitons and Fractals, Vol. 142 (2021) Article 110395, DOI: 10.1016/j.chaos.2020.110395, PDF
A. Gusso, S. Ujevic, R. L. Viana, Strong chaotification and robust chaos in the Duffing oscillator induced by two-frequency excitation, Nonlinear Dynamics, Vol. 103 (2021) Pages 1955-1967, DOI: 10.1007/s11071-020-06183-4, PDF
E. E. de Souza Filho, A. C. Mathias, and R. L. Viana, Fractal structures in a binary Schwarzschild black hole System, in Recent Trends in Chaotic, Nonlinear and Complex Dynamics, World Scientific Series on Nonlinear Science Series B, Eds.: J. Awrejcewicz, R; Shanmuganathan, M. Ragulskis (World Scientific, Singapores, 2021), DOI: 10.1142/11872
2020
M. Mugnaine, A. M. Batista, I. L. Caldas, J. D. Szezech, R. L. Viana, Ratchet current in nontwist Hamiltonian systems, Chaos, Vol. 30 (2020) Article 093141, DOI: 10.1063/5.0022073, PDF
I. M. Silva, A. B. Schelin, R. L. Viana, I. L. Caldas, Transport of blood particles: chaotic advection even in a healthy scenario, Chaos, Vol. 30 (2020) Article 093135, DOI: 10.1063/5.0013460, PDF
C. A. S. Batista and R. L. Viana, Chaotic maps with nonlocal coupling: Lyapunov exponents, synchronization of chaos, and characterization of chimeras, Chaos, Solitons and Fractals, Vol. 131 (2020) Article 109501, DOI: 10.1016/j.chaos.2019.109501 , PDF
L. C. Souza and R. L. Viana, Anisotropic axisymmetric MHD equilibria in spheroidal coordinates, Brazilian Journal of Physics, Vol. 50 (2020) pages 136-142, DOI: 10.1007/s13538-019-00727-9, PDF
V. dos Santos, F. S. Borges, K. C. Iarosz, I. L. Caldas, J. D. Szezech Jr., R. L. Viana, M. S. Baptista, A. M. Batista, Basin of attraction for chimera states in a network of Rössler oscillators, Chaos, Vol. 30, (2020) article 083115 DOI: 10.1063/5.0014013, PDF
R. P. Aristides and R. L. Viana, An integro-differential equation for dynamical systems with diffusion-mediated coupling, Nonlinear Dynamics, Vol. 100 (2020) Pages 3759-3770 DOI: 10.1007/s11071-020-05700-9, PDF(0123456789().,-volV() 0123458697().,-volV
J. C. P. Coninck, F. A. S. Ferrari, A. S. Reis, K. C. Iarosz, A. M. Batista, and R. L. Viana, Network properties of healthy and Alzheimer brains, Physica A, Vol. 547 (2020) Article 124475, DOI: 10.1016/j.physa.2020.124475 PDF
S. T. da Silva, R. L. Viana, Reaction-diffusion equation with stationary wave perturbation in weakly ionized plasmas, Brazilian Journal of Physics, Vol. 50 (2020) pages 780-787, DOI: 10.1007/s13538-020-00793-4, PDF
R. L. Viana, Sincronização de relógios de pêndulo e metrônomos: um tratamento qualitativo, Revista Brasileira de Ensino de Física, Vol. 42 (2020) article: e20200272, DOI: 0.1590/1806-9126-RBEF-2020-0272, PDF
E. E. de Souza Filho, A. C. Mathias, I. L. Caldas, and R. L. Viana, Fractal structures in the deflection of light by a pair of Schwarzschild black holes, Indian Academy of Sciences Conference Series, Vol. 3 (2020) No. 1, pages 161-171, DOI: 10.29195/iascs.03.01.0006, PDF
P. R. Protachevicz, M. S. Santos, E. G. Seifert, E. G. Gabrick, F. S. Borges, R. R. Borges, J. Trobia, J. D. Szezech Jr., K. C. Iarosz, I. L. Caldas, C. G. Antonopoulos, Y. Xu, R. L. Viana, and A. M. Batista, Noise induces continuous and noncontinuous transitions in neuronal interspike intervals range, Indian Academy of Sciences Conference Series, Vol. 3 (2020) No. 1, pages 105-109, DOI: 10.29195/iascs.03.01.0013, PDF
C. A. S. Batista, R. L. Viana, and A. M. Batista, Chimera states in networks under external periodic perturbations, Indian Academy of Sciences Conference Series, Vol. 3 (2020) No. 1, pages 65-69, DOI: 10.29195/iascs.03.01.0005, PDF