Euler-Lagrange Equations of Networks with Higher-Order Elements [PDF]
The paper suggests a generalization of the classic Euler-Lagrange equation for circuits compounded of arbitrary elements from Chua’s periodic table.
Z. Biolek, D. Biolek
doaj +2 more sources
Weyl-Euler-Lagrange Equations of Motion on Flat Manifold [PDF]
This paper deals with Weyl-Euler-Lagrange equations of motion on flat manifold. It is well known that a Riemannian manifold is said to be flat if its curvature is everywhere zero. Furthermore, a flat manifold is one Euclidean space in terms of distances.
Zeki Kasap
doaj +2 more sources
Euler-Lagrange optimization of electric drives with DTM method
Euler-Lagrange optimization method is exploited here to develop energy saving position control strategy valid for a.c. drives. The optimization principle respects copper losses minimization only.
Oršanský Pavol +3 more
doaj +2 more sources
An electrical interpretation of mechanical systems via the pseudo-inductor in the Brayton-Moser equations [PDF]
In this paper an analogy between mechanical and electrical systems is presented, where, in contrast to the traditional analogy, position dependence of the mass inertia matrix is allowed. In order to interpret the mechanical system in an electrical manner,
Rinaldis, Alessandro de, +3 more
core +1 more source
A sufficient condition for a finite-time $L_2 $ singularity of the 3d Euler Equations [PDF]
A sufficient condition is derived for a finite-time $L_2 $ singularity of the 3d incompressible Euler equations, making appropriate assumptions on eigenvalues of the Hessian of pressure.
He, Xinyu
core +1 more source
Strong continuity for the 2D Euler equations [PDF]
We prove two results of strong continuity with respect to the initial datum for bounded solutions to the Euler equations in vorticity form. The first result provides sequential continuity and holds for a general bounded solution.
Spirito, Stefano +2 more
core +1 more source
Estimating Euler equations [PDF]
In this paper we consider conditions under which the estimation of a log-linearized Euler equation for consumption yields consistent estimates of preference parameters.
Attanasio, O.P. +5 more
core +1 more source
Numerical Solution of Differential Equations of Elastic Curves in 3-dimensional Anti-de Sitter Space [PDF]
In this paper, we aim to extend the Darboux frame field into 3-dimensional Anti-de Sitter space and obtain two cases for this extension by considering a parameterized curve on a hypersurface; then we carry out the Euler-Lagrange equations and derive ...
Samira Latifi +2 more
doaj +1 more source
Higher Order Hamiltonian Systems with Generalized Legendre Transformation
The aim of this paper is to report some recent results regarding second order Lagrangians corresponding to 2nd and 3rd order Euler–Lagrange forms. The associated 3rd order Hamiltonian systems are found.
Dana Smetanová
doaj +1 more source
A direct method for solving fractional order variational problems by hat basis functions
This paper presents a numerical technique for solving a class of fractional variational problems using a direct method based on operational matrix of generalized hat basis function. The fractional derivative is defined in the Caputo sense.Minimization of
Osama H. Mohammed
doaj +1 more source

