activity
20172025
most citedIsochronous bifurcations in a two-parameter twist map

5 citations · 6 across the 11 of their papers we have counts for

collaborators

11 papers

physics.ao-ph2025

Predicting temperatures in Brazilian states capitals via Machine Learning

Sidney T. da Silva, Enrique C. Gabrick, Ana Luiza R. de Moraes +4

Climate change refers to substantial long-term variations in weather patterns. In this work, we employ a Machine Learning (ML) technique, the Random Forest (RF) algorithm, to forec…

nlin.CD2025

Isochronous bifurcations dependence on the driving mode phase shift in two-harmonic standard maps

Michele Mugnaine, Ricardo L. Viana, Alfredo M. Ozorio de Almeida +2

Some dynamical properties of nonlinear coupled systems can be described by the two-harmonic standard map, a two-dimensional area-preserving system with two parameters, where two di…

physics.gen-ph2025

Isochronous islands in the two-harmonic standard map

Michele Mugnaine, Bruno B. Leal, Alfredo M. Ozorio de Almeida +2

Isochronous islands are regular solutions related to different chains of elliptic points but with the same winding number. These isochronous islands emerge in phase space as a resp…

nlin.CD2024

Shearless bifurcations for two isochronous resonant perturbations

Bruno B. Leal, Matheus J. Lazarotto, Michele Mugnaine +3

In nontwist systems, primary shearless curves act as barriers to chaotic transport. Surprisingly, the onset of secondary shearless curves has been reported in a few twist systems.…

physics.bio-ph2024

Spiral wave dynamics in a neuronal network model

Diogo L. M. Souza, Fernando S. Borges, Enrique C. Gabrick +8

Spiral waves are spatial-temporal patterns that can emerge in different systems as heart tissues, chemical oscillators, ecological networks and the brain. These waves have been ide…

physics.bio-ph2024

Impact of periodic vaccination in SEIRS seasonal model

Enrique C. Gabrick, Eduardo L. Brugnago, Silvio L. T. de Souza +6

We study three different strategies of vaccination in a SEIRS (Susceptible--Exposed--Infected--Recovered--Susceptible) seasonal forced model, which are: () continuous vaccinatio…

nlin.CD2023★ 5 cited

Isochronous bifurcations in a two-parameter twist map

Michele Mugnaine, Bruno B. Leal, Alfredo M. Ozorio de Almeida +2

Isochronous islands in phase space emerge in twist Hamiltonian systems as a response to multiple resonant perturbations. According to the Poincaré-Birkhoff theorem, the number of i…

physics.bio-ph2023

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…

physics.bio-ph2023

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…

nlin.CD2022

Biquadratic Nontwist Map: a model for shearless bifurcations

G. C. Grime, M. Roberto, R. L. Viana +2

Area-preserving nontwist maps are used to describe a broad range of physical systems. In those systems, the violation of the twist condition leads to nontwist characteristic phenom…

nlin.CD2017★ 1 cited

Efficient manifold tracing for planar maps

D. Ciro, I. L. Caldas, R. L. Viana +1

Invariant manifolds of unstable periodic orbits organize the dynamics of chaotic orbits in phase space. They provide insight into the mechanisms of transport and chaotic advection…