Publications

You can also find my articles on my Google Scholar profile.

Articles

D. Borin, M. R. Sales, E. D. Leonel, and D. F. M. de Oliveira, On the dynamics of the q-Tsallis Gauss Iterated Map, Physica A 686, 131352 (2026).
M. R. Sales, E. D. Leonel, and C. G. Antonopoulos, On the behavior of Linear Dependence, Smaller, and Generalized Alignment Indices in discrete and continuous chaotic systems, Chaos, Solitons and Fractals 205, 117884 (2026).

M. R. Sales, L. C. de Souza, D. Borin, M. Mugnaine, J. D. Szezech, R. L. Viana, I. L. Caldas, E. D. Leonel, and C. G. Antonopoulos, pynamicalsys: A Python toolkit for the analysis of dynamical systems, Chaos Solitons and Fractal 201 117269 (2025).
D. Borin, J. D. Szezech Jr., and M. R. Sales, Characterizing and quantifying weak chaos in fractional dynamics, Chaos, Solitons and Fractals 200 117137 (2025).
L. C. de Souza, M. R. Sales, J. D. Szezech Jr., R. L. Viana, I. L. Caldas, and M. S. Baptista, Pattern formation in symplectic coupled map lattices, Chaos, Solitons and Fractals 200 117057 (2025).
M. R. Sales, M. Mugnaine, A. L. R. de Moraes, E. D. Leonel, C. G. Antonopoulos, I. L. Caldas, and J. D. Szezech Jr., Transport mechanisms associated with non-integer wavenumbers in a discontinuous nontwist map, Chaos, Solitons and Fractals 200, 116966 (2025).
P. G. Buiar, J. D. Szezech Jr., M. R. Sales, and G. M. Favero, Time to focus again on matrix metalloproteinases? Results of complex network analysis involving the pathophysiology of HER2-positive breast cancer, ecancer 19, 1850 (2025).
V. dos Santos, M. R. Sales, I. L. Caldas, R. L. Viana, and J. D. Szezech Jr., Extended networks as a route of stabilization of divergent dynamics, Chaos, Solitons and Fractals 193, 116115 (2025).

M. R. Sales, M. Mugnaine, E. D. Leonel, I. L. Caldas, and J. D. Szezech Jr., Shrinking shrimp-shaped domains and multistability in the dissipative asymmetric kicked rotor map, Chaos: An Interdisciplinary Journal of Nonlinear Science 34, 113129 (2024).
M. R. Sales, D. Borin, D. R. da Costa, J. D. Szezech Jr., and E. D. Leonel, An investigation of escape and scaling properties of a billiard system, Chaos: An Interdisciplinary Journal of Nonlinear Science 34, 113122 (2024).
M. R. Sales, D. Borin, L. C. de Souza, J. D. Szezech Jr., R. L. Viana, I. L. Caldas, and E. D. Leonel, Ratchet current and scaling properties in a nontwist mapping, Chaos, Solitons & Fractals 189, 115614 (2024).
M. R. Sales, S. Yanchuk, and J. Kurths, Recurrent chaotic clustering and slow chaos in adaptive networks, Chaos: An Interdisciplinary Journal of Nonlinear Science 34, 063144 (2024).
A. L. Azevedo, A. C. Maioli, F. Teston, M. R. Sales, F. M. Zanetti, and M. G. E. da Luz, Wave amplitude gain within wedge waveguides through scattering by simple obstacles, Phys. Rev. E 109, 025303 (2024).
L. C. Souza, M. R. Sales, M. Mugnaine, J. D. Szezech, I. L. Caldas, and R. L. Viana, Chaotic escape of impurities and sticky orbits in toroidal plasmas, Phys. Rev. E 109, 015202 (2024).

E. C. Gabrick, M. R. Sales, E. Sayari, J. Trobia, E. K. Lenzi, F. S. Borges, J. D. Szezech Jr., K. C. Iarosz, R. L. Viana, I. L. Caldas, and A. M. Batista, Fractional dynamics and recurrence analysis in cancer model, Brazilian Journal of Physics 53, 145 (2023).
V. dos Santos, M. R. Sales, S. S. Muni, J. D. Szezech, A. M. Batista, S. Yanchuk, and J. Kurths, Identification of single- and double-well coherenceincoherence patterns by the binary distance matrix, Communications in Nonlinear Science and Numerical Simulation 125, 107390 (2023)
M. R. Sales, M. Mugnaine, J. Szezech, José D., R. L. Viana, I. L. Caldas, N. Marwan, and J. Kurths, Stickiness and recurrence plots: An entropy-based approach, Chaos: An Interdisciplinary Journal of Nonlinear Science 33, 033140 (2023)

M. Mugnaine, M. R. Sales, J. D. Szezech, and R. L. Viana, Dynamics, multistability, and crisis analysis of a sine-circle nontwist map, Phys. Rev. E 106, 034203 (2022)
D. R. da Costa, A. Fujita, M. R. Sales, J. D. Szezech, and A. M. Batista, Dynamical properties for a tunable circular to polygonal billiard, Brazilian Journal of Physics 52, 75 (2022)
F. Teston, A. L. Azevedo, M. R. Sales, F. M. Zanetti, and M. G. E. da Luz, The flexibility in choosing distinct Greens functions for the boundary wall method: Waveguides and billiards, Journal of Physics A: Mathematical and Theoretical 55, 175201 (2022)
M. R. Sales, M. Mugnaine, R. L. Viana, I. L. Caldas, and J. D. Szezech, Unpredictability in Hamiltonian systems with a hierarchical phase space, Physics Letters A 431, 127991 (2022).
D. R. da Costa, A. Fujita, A. M. Batista, M. R. Sales, and J. D. Szezech Jr, Conservative generalized bifurcation diagrams and phase space properties for oval-like billiards, Chaos, Solitons & Fractals 155, 111707 (2022).

M. R. Sales, A. L. Azevedo, F. Teston, M. G. E. da Luz, and F. M. Zanetti, Soliton-like structures in the spectrum and the corresponding eigenstates morphology for the quantum desymmetrized Sinai billiard, Chaos: An Interdisciplinary Journal of Nonlinear Science 31, 113122 (2021).

R. L. Viana, L. C. Souza, M. R. Sales, M. Mugnaine, J. D. Szezech Jr., I. L. Caldas, N. Marwan, and J. Kurths, Recurrence-Based Characterization of Stickiness in Hamiltonian Systems. In: Recurrence Plots and Their Quantifications: Methodological Breakthroughs and Interdisciplinary Discoveries. Springer Proceedings in Complexity. Springer, Cham, 2025.