Noether's theorem and its inverse of Birkhoffian system in event space based on Herglotz variational problem
type: Item
instance of: scholarly article
title: Noether's theorem and its inverse of Birkhoffian system in event space based on Herglotz variational problem
zbMATH Open document ID: 1431.70013
published in: International Journal of Theoretical Physics
publication date: 2018-08-02T00:00:00Z
Mathematics Subject Classification ID: 70S10
Mathematics Subject Classification ID: 49K10
Mathematics Subject Classification ID: 37J51
Mathematics Subject Classification ID: 70H30
Mathematics Subject Classification ID: 81Q80
zbMATH DE Number: 6912692
zbMATH Keywords: Herglotz variational principle
zbMATH Keywords: Noether's theorem
zbMATH Keywords: Noether's inverse theorem
zbMATH Keywords: Birkhoffian system
zbMATH Keywords: event space
author: Xue Tian
author: Yi Zhang
MaRDI profile type: Publication
full work available at URL: s10773-017-3621-2
OpenAlex ID: W2773821552
cites work: Variational problem of Herglotz type for Birkhoffian system and its Noether's theorems
cites work: Noether's theorem for nonholonomic systems of non-Chetaev's type with unilateral constraints in event space
cites work: The conservation law of nonholonomic system of second-order non-Chetaev's type in event space
cites work: Q3061650
cites work: Q3512905
cites work: Q3512887
cites work: Q3403749
cites work: Parametric equations of nonholonomic nonconservative systems in the event space and the method of their integration
cites work: Q4415819
cites work: Lie symmetries and conserved quantities of Birkhoffian system
cites work: Q5321624
cites work: Q5321625
cites work: Conformal Invariance and Noether Symmetry, Lie Symmetry of Birkhoffian Systems in Event Space
cites work: Q2951418
cites work: Q3321501
cites work: The Noether's theory of Birkhoffian systems
cites work: Poincaré bifurcation in second-order autonomous perturbed Birkhoff system
cites work: Noether theorem for Birkhoffian systems on time scales
cites work: Noether theorem in higher-order Lagrangian mechanics
cites work: Killing and Noether symmetries of plane symmetric spacetime
cites work: Fractional Noether theorem based on extended exponentially fractional integral
cites work: First Noether-type theorem for the generalized variational principle of Herglotz
cites work: Generalized variational principle of Herglotz for several independent variables. First Noether-type theorem
cites work: Noether's theorem for higher-order variational problems of Herglotz type
cites work: Variational problems of Herglotz type with time delay: DuBois-Reymond condition and Noether's first theorem
cites work: Fractional variational principle of Herglotz
cites work: Q5756660
DOI: 10.1007/S10773-017-3621-2
description: scientific article; zbMATH DE number 6912692