Leaking chaotic systems

EG Altmann, JSE Portela, T Tél - Reviews of Modern Physics, 2013 - APS
There are numerous physical situations in which a hole or leak is introduced in an otherwise
closed chaotic system. The leak can have a natural origin, it can mimic measurement …

Overview of the advances in understanding chaos in low-dimensional dynamical systems subjected to parameter drift: Parallel dynamical evolutions and” climate …

D Jánosi, T Tél - Physics Reports, 2024 - Elsevier
This paper offers a review while also studying yet unexplored features of the area of chaotic
systems subjected to parameter drift of non-negligible rate, an area where the methods of …

Dynamics, multistability, and crisis analysis of a sine-circle nontwist map

M Mugnaine, MR Sales, JD Szezech Jr, RL Viana - Physical Review E, 2022 - APS
We propose a one-dimensional dynamical system, the sine-circle nontwist map, that can be
considered a local approximation of the standard nontwist map and an extension of the …

Isochronous island bifurcations driven by resonant magnetic perturbations in tokamaks

BB Leal, IL Caldas, MC de Sousa, RL Viana… - Physical Review E, 2024 - APS
Recent evidence shows that heteroclinic bifurcations in magnetic islands may be caused by
the amplitude variation of resonant magnetic perturbations in tokamaks. To investigate the …

Effects of stickiness on the quantum states of strongly chaotic open systems

MAP Reynoso, EM Signor, SD Prado, LF Santos - Physical Review E, 2024 - APS
Focusing on the standard map of the kicked rotor, we investigate the effects of classical
stickiness (orbits temporarily confined to a region of a chaotic phase space) on an open …

Fractal structures in nonlinear plasma physics

RL Viana, EC Da Silva, T Kroetz… - … of the Royal …, 2011 - royalsocietypublishing.org
Fractal structures appear in many situations related to the dynamics of conservative as well
as dissipative dynamical systems, being a manifestation of chaotic behaviour. In open area …

Lagrangian descriptors: The shearless curve and the shearless attractor

R Simile Baroni, RE de Carvalho - Physical Review E, 2024 - APS
Hamiltonian systems with a nonmonotonic frequency profile are called nontwist. One of the
key properties of such systems, depending on adjustable parameters, is the presence of 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 …

Nontwist field line map** 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 …

Basin Entropy and Shearless Barrier Breakup in Open Non-Twist Hamiltonian Systems

LC Souza, AC Mathias, P Haerter, RL Viana - Entropy, 2023 - mdpi.com
We consider open non-twist Hamiltonian systems represented by an area-preserving two-
dimensional map describing incompressible planar flows in the reference frame of a …