27 citations · 44 across the 18 of their papers we have counts for
21 papers
Adiabatic confinement and escape in an open billiard
Matheus Rolim Sales, Leonardo Costa de Souza, Ricardo Luiz Viana +2
We introduce a stationary, field-free billiard that reproduces the adiabatic confinement mechanism of a magnetic mirror through boundary geometry alone. Rapid transverse reflection…
Recurrence time entropy and weak chaos in Hamiltonian flows
Matheus Rolim Sales, Leonardo Costa de Souza, Iberê Luiz Caldas +2
Stickiness in mixed Hamiltonian systems causes chaotic trajectories to remain temporarily trapped near regular structures, making it difficult to distinguish regular, weakly chaoti…
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…
Non-autonomous standard nontwist map
Marcos V. de Moraes, Iberê L. Caldas, Yves Elskens
Area-preserving nontwist maps locally violate the twist condition, giving rise to shearless curves. Nontwist systems appear in different physical contexts, such as plasma physics,…
Hamiltonian chaos for one particle with two waves: Self-consistent dynamics
Matheus Jean Lazarotto, Iberê Luiz Caldas, Yves Elskens
A simple model of wave-particle interaction is studied in its self-consistent form, that is, where the particles are allowed to feedback on the waves dynamics. We focus on the conf…
Identifying ballistic modes via Poincaré sections
André Farinha Bósio, Iberê Luiz Caldas, Ricardo Luiz Viana +1
Exploring chaotic systems via Poincaré sections has proven essential in dynamical systems, yet measuring their characteristics poses challenges to identify the various dynamical re…
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…
Benchmark: Tao's symplectic integration method
Matheus Lazarotto, Iberê Caldas, Yves Elskens
A benchmark test was conducted for a new symplectic integration method originally developed by Molei Tao. The method raises interest due to its explicit evolution equation, with ap…
Ratchet current and scaling properties in a nontwist mapping
Matheus Rolim Sales, Daniel Borin, Leonardo Costa de Souza +4
We investigate the transport of particles in the chaotic component of phase space for a two-dimensional, area-preserving nontwist map. The survival probability for particles within…
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…
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…
Island myriads in periodic potentials
Matheus Lazarotto, Iberê Caldas, Yves Elskens
A phenomenon of emergence of stability islands in phase-space is reported for two periodic potentials with tiling symmetries, one square and the other hexagonal, inspired by bidime…
Confining and escaping magnetic field lines in Tokamaks: Analysis via symplectic map
Matheus S. Palmero, Iberê L. Caldas
In magnetically confined plasma, it is possible to qualitatively describe the magnetic field configuration via phase spaces of suitable symplectic maps. These phase spaces are of m…
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…
Internal energy exchanges and chaotic dynamics in an intrinsically coupled system
M. C. de Sousa, A. B. Schelin, F. A. Marcus +2
Intrinsically coupled nonlinear systems present different oscillating components that exchange energy among themselves. A paradigmatic example is the spring pendulum, which display…
Influence of the Radial Electric Field on the Shearless Transport Barriers in Tokamaks
F. A. Marcus, M. Roberto, I. L. Caldas +2
In tokamaks, internal transport barriers, produced by modifications of the plasma current profile, reduce particle transport and improve plasma confinement. The triggering of the i…
Energy Distribution in Intrinsically Coupled Systems: The Spring Pendulum Paradigm
M. C. de Sousa, F. A. Marcus, I. L. Caldas +1
Intrinsically nonlinear coupled systems present different oscillating components that exchange energy among themselves. We present a new approach to deal with such energy exchanges…