Magnetic stochasticity in magnetically confined fusion plasmas

S Abdullaev - Springer Series on Atomic, Optical, and Plasma …, 2014 - Springer
The magnetic confinement concept of thermonuclear plasma is one of the areas of
controlled fusion research developing in the past 50 years in a quest for clean and unlimited …

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 …

The Functional Expansion Approach for Solving NPDEs as a Generalization of the Kudryashov and G/G Methods

C Ionescu, CN Babalic, R Constantinescu, R Efrem - Symmetry, 2022 - mdpi.com
This paper presents the functional expansion approach as a generalized method for finding
traveling wave solutions of various nonlinear partial differential equations. The approach …

Influence of the radial electric field on the shearless transport barriers in tokamaks

FA Marcus, M Roberto, IL Caldas, KC Rosalem… - Physics of …, 2019 - pubs.aip.org
In tokamaks, internal transport barriers, produced by modifications of the plasma current
profile, reduce particle transport and improve plasma confinement. The triggering of the …

Study of the interplay between magnetic shear and resonances using Hamiltonian models for the magnetic field lines

MC Firpo, D Constantinescu - Physics of Plasmas, 2011 - pubs.aip.org
The issue of magnetic confinement in magnetic fusion devices is addressed within a purely
magnetic approach. Using some Hamiltonian models for the magnetic field lines, the dual …

Enhanced confinement with increased extent of the low magnetic shear region in tokamak plasmas

L Nasi, MC Firpo - Plasma Physics and Controlled Fusion, 2009 - iopscience.iop.org
The Hamiltonian representation of magnetic field lines enables one to study their
confinement properties in tokamaks through the use of symplectic maps such as the …

Bifurcations in a family of Hamiltonian systems and associated nontwist cubic maps

G Tigan, D Constantinescu - Chaos, Solitons & Fractals, 2016 - Elsevier
The aim of the paper is to study systems with one-and-a-half degrees of freedom generated
by a Hamiltonian with a quartic unperturbed part and broad perturbation spectrum. To this …

[PDF][PDF] The Functional Expansion Approach for Solving NPDEs as a Generalization of the KUDRYASHOV and G′/G Methods. Symmetry 2022, 14, 827

C Ionescu, CN Babalic, R Constantinescu, R Efrem - 2022 - academia.edu
This paper presents the functional expansion approach as a generalized method for finding
traveling wave solutions of various nonlinear partial differential equations. The approach …

[PDF][PDF] Magnetic Field in Ergodic Divertors

S Abdullaev - cds.cern.ch
In this chapter I would like to present a detailed analytical calculations of the magnetic field
generated by a set of helical coils. The method is demonstrated for the models of the DED of …

[PDF][PDF] THE ANOMALOUS TRANSPORT IN TURBULENT PLASMAS

G Steinbrecher, N Pometescu, M Negrea… - Association EURATOM … - ifa-mg.ro
16 THE ANOMALOUS TRANSPORT IN TURBULENT PLASMAS Page 1 16 2004 Annual
Report of the EURATOM-MEdC Association Gy. Steinbrecher*, N. Pometescu*, M. Negrea …