89 citations · 435 across the 35 of their papers we have counts for
36 papers
Multistability and chaos in SEIRS epidemic model with a periodic time-dependent transmission rate
Eduardo L. Brugnago, Enrique C. Gabrick, Kelly C. Iarosz +4
In this work, we study the dynamics of a SEIRS epidemic model with a periodic time-dependent transmission rate. Emphasizing the influence of the seasonality frequency on the system…
Fractional dynamics and recurrence analysis in cancer model
Enrique C. Gabrick, Matheus R. Sales, Elaheh Sayari +8
In this work, we analyze the effects of fractional derivatives in the chaotic dynamics of a cancer model. We begin by studying the dynamics of a standard model, {\it i.e.}, with in…
Shearless curve breakup in the biquadratic nontwist map
Gabriel C. Grime, Marisa Roberto, Ricardo L. Viana +2
Nontwist area-preserving maps violate the twist condition along shearless invariant curves, which act as transport barriers in phase space. Recently, some plasma models have presen…
Bidimensional Symplectic Maps
Felipe G. Souza, Gabriel C. Grime, Iberê L. Caldas
Symplectic maps can provide a straightforward and accurate way to visualize and quantify the dynamics of conservative systems with two degrees of freedom. These maps can be easily…
Unpredictability in seasonal infectious diseases spread
Enrique C. Gabrick, Elaheh Sayari, Paulo R. Protachevicz +7
In this work, we study the unpredictability of seasonal infectious diseases considering a SEIRS model with seasonal forcing. To investigate the dynamical behaviour, we compute bifu…
Stickiness and recurrence plots: an entropy-based approach
Matheus R. Sales, Michele Mugnaine, José D. Szezech +4
The stickiness effect is a fundamental feature of quasi-integrable Hamiltonian systems. We propose the use of an entropy-based measure of the recurrence plots (RP), namely, the ent…