Transport barriers in symplectic maps

RL Viana, IL Caldas, JD Szezech Jr, AM Batista… - Brazilian Journal of …, 2021 - Springer
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, a …

Macroscopic transport in mixed phase space Hamiltonian systems and the role of a distinct time-scale for the power-law decay

D Jánosi, G Károlyi - Chaos: An Interdisciplinary Journal of Nonlinear …, 2024 - pubs.aip.org
Motivated by the losses of runaway electrons during disruptive events in present and future
tokamaks like the ITER, we investigate the transport in mixed phase space Hamiltonian …

Tokamak magnetic field lines described by simple maps: Dedicated to Professor Celso Grebogi on the occasion of his 60th birthday

JSE Portela, IL Caldas, RL Viana - The European Physical Journal Special …, 2008 - Springer
The magnetic field line structure in a tokamak can be obtained by direct numerical
integration of the field line equations. However, this is a lengthy procedure and the analysis …

[图书][B] Scaling laws in dynamical systems

ED Leonel - 2021 - Springer
The main goal of this book is to present and discuss many of the common scaling properties
observed in some nonlinear dynamical systems described by mappings. The …

Nontwist field line mapping in a tokamak with ergodic magnetic limiter

M Mugnaine, IL Caldas, JD Szezech Jr, RL Viana - Physical Review E, 2023 - APS
For tokamaks with uniform magnetic shear, Martin and Taylor have proposed a symplectic
map which has been used to describe the magnetic field lines at the plasma edge perturbed …

Reduction of chaotic particle transport driven by drift waves in sheared flows

FA Marcus, IL Caldas, ZO Guimarães-Filho… - Physics of …, 2008 - pubs.aip.org
Investigations of chaotic particle transport by drift waves propagating in the edge plasma of
tokamaks with poloidal zonal flow are described. For large aspect ratio tokamaks, the …

Chaotic saddles and interior crises in a dissipative nontwist system

R Simile Baroni, RE De Carvalho, IL Caldas, RL Viana… - Physical Review E, 2023 - APS
We consider a dissipative version of the standard nontwist map. Nontwist systems present a
robust transport barrier, called the shearless curve, that becomes the shearless attractor …

Shearless transport barriers in magnetically confined plasmas

IL Caldas, RL Viana, CV Abud… - Plasma Physics and …, 2012 - iopscience.iop.org
Shearless transport barriers appear in confined plasmas due to non-monotonic radial
profiles and cause localized reduction of transport even after they have been broken. In this …

Chaotic motion of charged particles in toroidal magnetic configurations

B Cambon, X Leoncini, M Vittot, R Dumont… - … Journal of Nonlinear …, 2014 - pubs.aip.org
We study the motion of a charged particle in a tokamak magnetic field and discuss its chaotic
nature. Contrary to most of recent studies, we do not make any assumption on any constant …

Nontwist symplectic maps in tokamaks

IL Caldas, RL Viana, JD Szezech Jr, JSE Portela… - … in Nonlinear Science …, 2012 - Elsevier
We review symplectic nontwist maps that we have introduced to describe Lagrangian
transport properties in magnetically confined plasmas in tokamaks. These nontwist maps are …