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 …

New developments in classical chaotic scattering

JM Seoane, MAF Sanjuán - Reports on Progress in Physics, 2012 - iopscience.iop.org
Classical chaotic scattering is a topic of fundamental interest in nonlinear physics due to the
numerous existing applications in fields such as celestial mechanics, atomic and nuclear …

Propagation of ion-acoustic wave and its fractal representations in spin polarized electron plasma

B Pradhan, A Gowrisankar, A Abdikian… - Physica …, 2023 - iopscience.iop.org
Propagation of small-amplitude quantum ion-acoustic waves and its fractal representations
is investigated in an electron-ion quantum plasma with separated spin electrons in the …

Grad-Shafranov equation in fractal dimensions

RA El-Nabulsi, W Anukool - Fusion Science and Technology, 2022 - Taylor & Francis
The main aim of this paper is to discuss the influence of fractal dimensions on the behavior
of the solutions of the Grad-Shafranov equation. Our study is based on the product-like …

Vlasov equation, waves and dispersion relations in fractal dimensions: Landau dam** and the toroidal ion temperature gradient instability problem

RA El-Nabulsi, W Anukool - Waves in Random and Complex …, 2022 - Taylor & Francis
In this study, we have used the concept of 'product-like fractal measure'introduced by Li and
Ostoja-Starzewski in their formulation of anisotropic and elastic media to introduce Vlasov …

Propagation of fractal tsunami solitary waves

RA El-Nabulsi, W Anukool - Journal of Ocean Engineering and Marine …, 2023 - Springer
In this paper, tsunami dynamics and solitary waves are constructed in fractal dimensions
based on the concept of product-like fractal measure introduced recently by Li and Ostoja …

[HTML][HTML] On the physical fractional modulations on Langmuir plasma structures

HG Abdelwahed, EK El-Shewy, S Alghanim… - Fractal and …, 2022 - mdpi.com
Langmuir waves propagate in fractal complex plasma with fractal characteristics, which may
cause some plasma particles to be trapped or causes wave turbulences. This phenomenon …

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 develo** in the past 50 years in a quest for clean and unlimited …

Helically self-organized pinches: dynamical regimes and magnetic chaos healing

M Veranda, D Bonfiglio, S Cappello… - Nuclear …, 2019 - iopscience.iop.org
This paper deals with helical self-organization in current-carrying toroidal pinches for the
magnetic confinement of fusion plasmas. We perform our study in the framework of 3D …

[HTML][HTML] Local fractional homotopy perturbation method for solving coupled Sine-Gordon equations in fractal domain

L Chen, Q Liu - Fractal and Fractional, 2022 - mdpi.com
In this paper, the coupled local fractional sine-Gordon equations are studied in the range of
local fractional derivative theory. The study of exact solutions of nonlinear coupled systems …