1 citations · 1 across the 9 of their papers we have counts for
11 papers
The Role of Phase and Spatial Modes in Wave-Induced Plasma Transport
L. F. B. Souza, Y. Elskens, R. Egydio de Carvalho +1
We derive a two-dimensional symplectic map for particle motion at the plasma edge by modeling the electrostatic potential as a superposition of integer spatial harmonics with relat…
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…
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…
Effective transport barriers in the biquadratic nontwist map
Gabriel C. Grime, Ricardo L. Viana, Yves Elskens Iberê L. Caldas
Nontwist area-preserving maps violate the twist condition at specific orbits, resulting in shearless invariant curves that prevent chaotic transport. Plasmas and fluids with nonmon…
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…
Larmor radius effect on the control of chaotic transport in tokamaks
L. A. Osorio-Quiroga, M. Roberto, R. L. Viana +2
We investigate the influence of the finite Larmor radius on the dynamics of guiding-center test particles subjected to an drift in a large aspect-rat…
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…
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…
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…