Results 21 to 30 of about 78,450 (174)

Special Functions of Mathematical Physics: A Unified Lagrangian Formalism

Mathematics, 2020
Lagrangian formalism is established for differential equations with special functions of mathematical physics as solutions. Formalism is based on either standard or non-standard Lagrangians.
Zdzislaw E. Musielak, Niyousha Davachi, Marialis Rosario-Franco   +2 more
doaj   +1 more source

Lagrange coordinates for the Einstein-Euler equations

, 2012
We derive a new symmetric hyperbolic formulation of the Einstein-Euler equations in Lagrange coordinates that are adapted to the Frauendiener-Walton formulation of the Euler equations.
Oliynyk, Todd A.
core   +1 more source

Routh's procedure for non-Abelian symmetry groups [PDF]

, 2008
We extend Routh's reduction procedure to an arbitrary Lagrangian system (that is, one whose Lagrangian is not necessarily the difference of kinetic and potential energies) with a symmetry group which is not necessarily Abelian.
Cendra H., Crampin M., Kobayashi S., M. Crampin, Marsden J. E., Routh E. J., Sharpe R. W., T. Mestdag, Yano K.   +8 more
core   +2 more sources

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  

Euler‐Lagrange Equation in Free Coordinates

Journal of Mathematics, 2022
In this paper, we introduce different equivalent formulations of variational principle. The language of differential forms and manifold has been utilized to deduce Euler–Lagrange equations in free coordinates. Thus, the expression is simple and global.
Mastourah M. Alotaibi, Sami H. Altoum
doaj   +1 more source

On the action principle for a system of differential equations

, 2007
We consider the problem of constructing an action functional for physical systems whose classical equations of motion cannot be directly identified with Euler-Lagrange equations for an action principle.
Banerjee R, D M Gitman, Darboux G, Dodonov V V Man'ko V I Skarzhinsky V D, Havas P, Sarlet W, V G Kupriyanov, von Helmholtz H   +7 more
core   +1 more source

Lagrangian Mechanics and Variational Integrators on Two-Spheres [PDF]

, 2007
Euler-Lagrange equations and variational integrators are developed for Lagrangian mechanical systems evolving on a product of two-spheres. The geometric structure of a product of two-spheres is carefully considered in order to obtain global equations of ...
Lee, Taeyoung, Leok, Melvin, McClamroch, N. Harris   +2 more
core   +2 more sources

Model Formulation Over Lie Groups and Numerical Methods to Simulate the Motion of Gyrostats and Quadrotors

Mathematics, 2019
The present paper recalls a formulation of non-conservative system dynamics through the Lagrange−d’Alembert principle expressed through a generalized Euler−Poincaré form of the system equation on a Lie group.
Simone Fiori
doaj   +1 more source

Parameterization invariance and shape equations of elastic axisymmetric vesicles

, 1994
The issue of different parameterizations of the axisymmetric vesicle shape addressed by Hu Jian-Guo and Ou-Yang Zhong-Can [ Phys.Rev. E {\bf 47} (1993) 461 ] is reassesed, especially as it transpires through the corresponding Euler - Lagrange equations ...
A.R. Forsyth, B. Žekš, F. Jülicher, H.J. Deuling, Hiroyoshi Naito, Hu Jian Guo, R. Podgornik, S. Svetina, S. Svetina, U. Seifert, W. Helfrich, Wei Mou Zheng   +11 more
core   +1 more source

Euler-Lagrange equation for a delay variational problem

Nonautonomous Dynamical Systems, 2017
We establish Euler-Lagrange equations for a problem of Calculus of Variations where the unknown variable contains a term of delay on a ...
Blot Joël, Koné Mamadou I.
doaj   +1 more source