25 citations · 90 across the 15 of their papers we have counts for
15 papers
Hierarchical fragmentation of regular islands in a discontinuous nontwist map
Matheus Rolim Sales, Michele Mugnaine, Leonardo Costa de Souza +3
The destruction of regular regions in two-dimensional, area-preserving maps is traditionally described in terms of the breakup of invariant curves and the persistence of transport…
pynamicalsys: A Python toolkit for the analysis of dynamical systems
Matheus Rolim Sales, Leonardo Costa de Souza, Daniel Borin +6
Since Lorenz's seminal work on a simplified weather model, the numerical analysis of nonlinear dynamical systems has become one of the main subjects of research in physics. Despite…
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…
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…
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.…
Shrinking shrimp-shaped domains and multistability in the dissipative asymmetric kicked rotor map
Matheus Rolim Sales, Michele Mugnaine, Edson Denis Leonel +2
An interesting feature in dissipative nonlinear systems is the emergence of characteristic domains in parameter space that exhibit periodic temporal evolution, known as shrimp-shap…
Shearless effective barriers to chaotic transport induced by even twin islands in nontwist systems
M. Mugnaine, J. D. Szezech, R. L. Viana +2
For several decades now it has been known that systems with shearless invariant tori, nontwist Hamiltonian systems, possess barriers to chaotic transport. These barriers are resili…
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…
A nontwist field line mapping in a tokamak with ergodic magnetic limiter
Michele Mugnaine, José D. Szezech, Ricardo L. Viana +1
For tokamaks with uniform magnetic shear, Martin and Taylor have proposed a symplectic map has been used to describe the magnetic field lines at the plasma edge perturbed by an erg…
Hamiltonian description for magnetic field lines: a tutorial
Ricardo L. Viana, Michele Mugnaine, Iberê L. Caldas
Under certain circumstances, the equations for the magnetic field lines can be recast in a canonical form, after defining a suitable field line Hamiltonian. This analogy is extreme…
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…
Effect of two vaccine doses in the SEIR epidemic model using a stochastic cellular automaton
Enrique C. Gabrick, Paulo R. Protachevicz, Antonio M. Batista +6
In this work, to support decision making of immunisation strategies, we propose the inclusion of two vaccination doses in the SEIR model considering a stochastic cellular automaton…
Simulation of deterministic compartmental models for infectious diseases dynamics
Antonio M Batista, Silvio L T Souza, Kelly C Iarosz +6
Infectious diseases are caused by pathogenic microorganisms and can spread through different ways. Mathematical models and computational simulation have been used extensively to in…
Transport barriers in symplectic maps
R. L. Viana, I. L. Caldas, J. D. Szezech +10
Chaotic transport is a subject of paramount importance in a variety of problems in plasma physics, specially those related to anomalous transport and turbulence. On the other hand,…
Basin entropy behavior in a cyclic model of the rock-paper-scissors type
M. Mugnaine, F. M. Andrade, J. D. Szezech +1
We deal with stochastic network simulations in a model with three distinct species that compete under cyclic rules which are similar to the rules of the popular rock-paper-scissors…