Results 11 to 20 of about 78,450 (174)

Variational Problems with Fractional Derivatives: Euler-Lagrange Equations [PDF]

, 2011
We generalize the fractional variational problem by allowing the possibility that the lower bound in the fractional derivative does not coincide with the lower bound of the integral that is minimized.
Agrawal O P, Agrawal O P, Dreisigmeyer D W, Dreisigmeyer D W, Gaies A, Gelfand I M, Giaquinta M, Gorenflo R, Jost J, Jumarie G, Jumarie G, Jumarie G, Kilbas A A, Miller K S, Momani S, Odibat Z, Oldham K B, S Konjik, S Pilipović, Sagan H, Samko S G, Stantilli R M, T M Atanacković, Van Brunt B   +23 more
core   +1 more source

Euler-Lagrange optimization of electric drives with DTM method

MATEC Web of Conferences, 2018
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, Ftorek Branislav, Šamajová Helena, Vittek Ján   +3 more
doaj   +1 more source

On the variational principle in the unfolded dynamics

Physics Letters B, 2022
The interplay between off-shell and on-shell unfolded systems is analyzed. The formulation of invariant constraints that put an off-shell system on shell is developed by adding new variables and derivation in the target space, that extends the original Q-
A.A. Tarusov, M.A. Vasiliev
doaj   +1 more source

Numerical Solution of Differential Equations of Elastic Curves in 3-dimensional Anti-de Sitter Space [PDF]

Sahand Communications in Mathematical Analysis, 2023
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, Nemat Abazari, Ghader Ghasemi   +2 more
doaj   +1 more source

Canonical form of Euler-Lagrange equations and gauge symmetries [PDF]

, 2002
The structure of the Euler-Lagrange equations for a general Lagrangian theory is studied. For these equations we present a reduction procedure to the so-called canonical form.
B Geyer, Batalin I A, Borochov V A, Borochov V A, D M Gitman, Dieudonné J, Dirac P A M, Faddeev L, Fichtenholz G M, Gantmacher F R, Gantmacher F R, Gitman D M, Gitman D M, Gitman D M, Gitman D M, Gitman D M, Gitman D M, Henneaux M, I V Tyutin, Krasilshchik I S, Kupershmidt B A, Olshanetsky M, Olver P   +22 more
core   +2 more sources

Higher Order Hamiltonian Systems with Generalized Legendre Transformation

Mathematics, 2018
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

Ain Shams Engineering Journal, 2018
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

Partial Lagrangian for Efficient Extension and Reconstruction of Multi-DoF Systems and Efficient Analysis Using Automatic Differentiation

Robotics, 2022
In the fields of control engineering and robotics, either the Lagrange or Newton–Euler method is generally used to analyze and design systems using equations of motion.
Takashi Kusaka, Takayuki Tanaka
doaj   +1 more source

The Lie group Euler methods of multibody system dynamics with holonomic constraints

Advances in Mechanical Engineering, 2018
The Euler methods on Lie group are developed for the differential–algebraic equations of multibody system dynamics with holonomic constraints. The implicit Euler method is used to solve the differential–algebraic equations as Euler–Lagrange equations on ...
Jieyu Ding, Zhenkuan Pan
doaj   +1 more source

Weyl-Euler-Lagrange Equations of Motion on Flat Manifold

Advances in Mathematical Physics, 2015
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   +1 more source