Sectorial perturbation of vortex beams: Shannon entropy, orbital angular momentum and topological charge [PDF]
Transformations of the vortex beams structure subjected to sectorial perturbation were theoretically and experimentally studied. The analysis was based on computing (measuring) the vortex spectrum that enables us to find the orbital angular momentum (OAM)
Alexander Volyar +4 more
doaj +1 more source
Cubic-quartic optical soliton perturbation with Fokas–Lenells equation by semi-inverse variation
This paper recovers cubic-quartic bright optical solitons with perturbed Fokas–Lenells equation. The Hamiltonian perturbation terms appear with maximal permissible intensity. The semi-inverse variational principle is employed to retrieve such solitons.
A. Biswas +5 more
semanticscholar +1 more source
Development of a Multiperimeter Sensing System Based on POTDR
Polarization optical time-domain reflectometry (POTDR) is sensitive to perturbations on any point of the fiber under test (FUT). However, restricted by the sensing principle, the signal of the front perturbation would mask the signals of the rear ones ...
Feng Wang +6 more
doaj +1 more source
Regularized variational principles for the perturbed Kepler problem [PDF]
The goal of the paper is to develop a method that will combine the use of variational techniques with regularization methods in order to study existence and multiplicity results for the periodic and the Dirichlet problem associated to the perturbed Kepler system \[ \ddot x = -\frac{x}{|x|^3} + p(t), \quad x \in \mathbb{R}^d, \] where $d\geq 1$, and $p:\
Barutello, Vivina +2 more
openaire +5 more sources
A remark on the linearization technique in half-linear oscillation theory [PDF]
We show that oscillatory properties of the half-linear second order differential equation \[(r(t)\Phi(x'))'+c(t)\Phi(x)=0,\qquad\Phi(x)=|x|^{p-2}x,\quad p\gt 1,\] can be investigated via oscillatory properties of a certain associated second order linear ...
Ondřej Došlý
doaj
Formability prediction of thin metal sheets using various localization criteria [PDF]
The aim of this paper is to give an overview of the theoretical basis of the most significant and commonly used localization criteria reformulated into a unified framework, and to apply these criteria to different materials in order to determine their ...
ALTMEYER, Guillaume +2 more
core +1 more source
We study the optimal control problem of a controlled time-symmetric forward-backward doubly stochastic differential equation with initial-terminal state constraints. Applying the terminal perturbation method and Ekeland’s variation principle, a necessary
Shaolin Ji, Qingmeng Wei, Xiumin Zhang
doaj +1 more source
Structural analysis on interval matrices by signed digraph : structural perturbation principle [PDF]
This note deals with linear interval systems whose parameters in system matrix are expressed by intervals. We formalize the system reasoning about structures of interval systems by the structural perturbation principle: the interval system would have the
21575, Ishida, Yoshiteru
core +1 more source
Sensitivity of the Solution to Nonsymmetric Differential Matrix Riccati Equation
Nonsymmetric differential matrix Riccati equations arise in many problems related to science and engineering. This work is focusing on the sensitivity of the solution to perturbations in the matrix coefficients and the initial condition.
Vera Angelova +2 more
doaj +1 more source
Logarithmic speeds for one-dimensional perturbed random walk in random environment
We study the random walk in random environment on Z+ = f0; 1; 2; : : :g, where the environment is subject to a vanishing (random) perturbation. The two particular cases that we consider are: (i) random walk in random environment perturbed from Sinai's ...
Menshikov, MV +7 more
core +1 more source

