Results 11 to 20 of about 4,851,792 (234)
Euler-Lagrange Equations of Networks with Higher-Order Elements [PDF]
Radioengineering, 2017 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 +3 more sources
Weyl-Euler-Lagrange Equations of Motion on Flat Manifold [PDF]
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 +3 more sources
The Schwarzian derivative and Euler–Lagrange equations [PDF]
Journal of Geometry and Physics, 2021 . We study the Schwarzian derivative from a variational viewpoint. Firstly we show that the Schwarzian derivative defines a first integral of the Euler–Lagrange equation of a second order Lagrangian.
Wojciech Kryński
semanticscholar +3 more sources
The Reduced Euler-Lagrange Equations [PDF]
, 1993 Marsden and Scheurle [1993] studied Lagrangian reduction in the context of momentum map constraints—here meaning the reduction of the standard Euler-Lagrange system restricted to a level set of a momentum map.
J. Marsden, J. Scheurle
semanticscholar +2 more sources
Frontiers in Physics, 2019 In this new work, the free motion of a coupled oscillator is investigated. First, a fully description of the system under study is formulated by considering its classical Lagrangian, and as a result, the classical Euler–Lagrange equations of motion are ...
Amin Jajarmi +4 more
doaj +2 more sources
Generalized Variational Problems and Euler-Lagrange equations [PDF]
Computers and Mathematics with Applications, 2010 This paper introduces three new operators and presents some of their properties. It defines a new class of variational problems (called Generalized Variational Problems, or GVPs) in terms of these operators and derives Euler–Lagrange equations for this ...
O. Agrawal
semanticscholar +2 more sources
Fractional Euler-Lagrange Equations Applied to Oscillatory Systems
Mathematics, 2015 In this paper, we applied the Riemann-Liouville approach and the fractional Euler-Lagrange equations in order to obtain the fractional nonlinear dynamic equations involving two classical physical applications: “Simple Pendulum” and the “Spring-Mass ...
Sergio Adriani David +1 more
doaj +2 more sources
Invariance of functionals and related Euler–Lagrange equations
, 2017 We establish a connection between symmetries of functionals and symmetries of the corresponding Euler–Lagrange equations. A similar problem is investigated for equations with quasi-Bu-potential operators.
V. Savchin, S. Budochkina
semanticscholar +3 more sources
Variational integrator for fractional Euler–Lagrange equations [PDF]
, 2011 We extend the notion of variational integrator for classical Euler–Lagrange equations to the fractional ones. As in the classical case, we prove that the variational integrator allows to preserve Noether-type results at the discrete level.
Loïc Bourdin +3 more
semanticscholar +2 more sources
Variational C∞-symmetries and Euler–Lagrange equations [PDF]
, 2006 A generalization of the concept of variational symmetry, based on λ-prolongations, allows us to construct new methods of reduction for Euler–Lagrange equations. An adapted formulation of the Noether's theorem for the new class of symmetries is presented.
C. Muriel, J. L. Romero, P. Olver
semanticscholar +2 more sources