Noether theorem for nonholonomic systems with time delay
type: Item
instance of: scholarly article
title: Noether theorem for nonholonomic systems with time delay
zbMATH Open document ID: 1394.70041
DOI: 10.1155/2015/539276
author: Shi-Xin Jin
author: Yi Zhang
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: The paper focuses on studying the Noether theorem for nonholonomic systems with time delay. Firstly, the differential equations of motion for nonholonomic systems with time delay are established, which is based on the Hamilton principle with time delay and the Lagrange multiplier rules. Secondly, based upon the generalized quasi-symmetric transformations for nonconservative systems with time delay, the Noether theorem for corresponding holonomic systems is given. Finally, we obtain the Noether theorem for the nonholonomic nonconservative systems with time delay. At the end of the paper, an example is given to illustrate the application of the results.
Mathematics Subject Classification ID: 70F25
Mathematics Subject Classification ID: 37J15
Mathematics Subject Classification ID: 37N05
Mathematics Subject Classification ID: 34K17
zbMATH DE Number: 6926605
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/539276
OpenAlex ID: W2083053256
cites work: Dynamics for a class of nonlinear systems with time delay
cites work: Q3933511
cites work: Variational and optimal control problems with delayed argument
cites work: Conjugate-point conditions for variational problems with delayed argument
cites work: Systems with Time Delay in the Calculus of Variations: A Variational Approach
cites work: Sufficient conditions for variational problems with delay argument
cites work: Sufficient conditions for optimal control problems with time delay
cites work: A Bliss-type multiplier rule for constrained variational problems with time delay
cites work: Symmetries and differential equations
cites work: Noether's theory in classical nonconservative mechanics
cites work: Dynamical symmetries and conserved quantities
cites work: Lie symmetries and conserved quantities of constrained mechanical systems
cites work: A formulation of Noether's theorem for fractional problems of the calculus of variations
cites work: Variational problems with fractional derivatives: invariance conditions and Nöther's theorem
cites work: A Lie symmetrical basic integral variable relation and a new conservation law for generalized Hamiltonian systems
cites work: Symmetries and conserved quantities for fractional action-like Pfaffian variational problems
cites work: Noether symmetries and conserved quantities for fractional Birkhoffian systems
cites work: Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
cites work: Noether's symmetry theorem for variational and optimal control problems with time delay
cites work: Noether symmetries and conserved quantities for Birkhoffian systems with time delay
cites work: Q5657709
cites work: Q3967100
Wikidata QID: Q59119221
description: scientific article; zbMATH DE number 6926605