Results 11 to 20 of about 76,470 (160)

On the variational principle in the unfolded dynamics

open access: yesPhysics 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

Sampled-Data Consensus for Networked Euler-Lagrange Systems With Differentiable Scaling Functions

open access: yesIEEE Access, 2021
This paper is concerned with the sampled-data consensus of networked Euler-Lagrange systems. The Euler-Lagrange system has enormous advantages in analyzing and designing dynamical systems.
Yilin Wang   +3 more
doaj   +1 more source

Model of System Microgrid in radial Topology using Euler-Lagrange Equation [PDF]

open access: yesE3S Web of Conferences, 2022
The need of power and equipment that can serve to distribute the electric energy becomes primordial things this period that almost of domains’ specialists work in, and one of this equipment is microgrid system that gain more and more places in not just ...
Nahir Abir, Abelilah Jalid
doaj   +1 more source

Spatial solitons in Schrodinger equation with a spatially modulated nonlinearity: Variational approach [PDF]

open access: yesMathematics and Computational Sciences, 2023
In is paper, we have studied the propagation of spatial solitons in the medium with a spatially modulated nonlinearity. Wave equation includes the terms of diffraction and periodic self- focusing.
Mahboubeh Ghalandari
doaj   +1 more source

An efficient design for solving discrete optimal control problem with time-varying multi-delays [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization, 2022
The focus of this article is on the study of discrete optimal control problems (DOCPs) governed by time-varying systems, including time-varying delays in control and state variables.
S.M. Abdolkhaleghzade   +2 more
doaj   +1 more source

Fractional-Order Euler-Lagrange Equation for Fractional-Order Variational Method: A Necessary Condition for Fractional-Order Fixed Boundary Optimization Problems in Signal Processing and Image Processing

open access: yesIEEE Access, 2016
This paper discusses a novel conceptual formulation of the fractional-order Euler-Lagrange equation for the fractional-order variational method, which is based on the fractional-order extremum method. In particular, the reverse incremental optimal search
Yi-Fei Pu
doaj   +1 more source

New conservation laws of the Boussinesq and generalized Kadomtsev–Petviashvili equations via homotopy operator

open access: yesResults in Physics, 2023
According to the tools of linear algebra and calculus of variations, the conservation laws of Boussinesq and generalized Kadomtsev–Petviashvili (gKP) equations are investigated using multipliers and scaling methods. Using the Euler–Lagrange operator, the
Mehdi Jafari   +3 more
doaj   +1 more source

Continuous Choreographies as Limiting Solutions of $N$-body Type Problems with Weak Interaction [PDF]

open access: yes, 2016
We consider the limit $N\to +\infty$ of $N$-body type problems with weak interaction, equal masses and $-\sigma$-homogeneous potential ...
Castaneira, Reynaldo   +2 more
core   +3 more sources

Connecting Euler and Lagrange systems as nonlocally related systems of dynamical nonlinear elasticity

open access: yesArchives of Mechanics, 2011
Nonlocally related systems for the Euler and Lagrange systems of two-dimensional dynamical nonlinear elasticity are constructed. Using the continuity equation, i.e., conservation of mass of the Euler system to represent the density and Eulerian velocity ...
G. Bluman, J.F. Ganghoffer
doaj   +1 more source

Weighted Generalized Fractional Integration by Parts and the Euler–Lagrange Equation

open access: yesAxioms, 2022
Integration by parts plays a crucial role in mathematical analysis, e.g., during the proof of necessary optimality conditions in the calculus of variations and optimal control.
Houssine Zine   +3 more
doaj   +1 more source

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