Noether symmetry and conserved quantity for Hamiltonian system of Herglotz type on time scales
type: Item
instance of: scholarly article
title: Noether symmetry and conserved quantity for Hamiltonian system of Herglotz type on time scales
zbMATH Open document ID: 1398.37049
author: Xue Tian
author: Yi Zhang
published in: Acta Mechanica
publication date: 2018-10-23T00:00:00Z
Mathematics Subject Classification ID: 37J15
Mathematics Subject Classification ID: 37J45
Mathematics Subject Classification ID: 70G75
zbMATH DE Number: 6962820
zbMATH Keywords: Noether symmetry
zbMATH Keywords: Hamilton-Herglotz action
zbMATH Keywords: Hamiltonian system on time scales
MaRDI profile type: Publication
full work available at URL: s00707-018-2188-1
OpenAlex ID: W2808148665
cites work: Differential and difference calculus — Unified!
cites work: First and second order linear dynamic equations on time scales
cites work: Dynamic equations on time scales: A survey
cites work: Q4797834
cites work: Partial differential equations on time scales
cites work: Q4672816
cites work: A class of optimal control problems of systems governed by the first order linear dynamic equations on time scales
cites work: Noether theorem for non-conservative systems with time delay on time scales
cites work: Q4672815
cites work: Optimality conditions for the calculus of variations with higher-order delta derivatives
cites work: The second Euler-Lagrange equation of variational calculus on time scales
cites work: Noether's theorem on time scales
cites work: Q3061691
cites work: Q3366951
cites work: Noether's theorem for fractional variational problem from El-Nabulsi extended exponentially fractional integral in phase space
cites work: Noether's theorem for fractional Birkhoffian systems of variable order
cites work: Generalized Noether's theorem for continuous mechanical systems
cites work: Noether's theorems for dynamical systems of two kinds of non-standard Hamiltonians
cites work: The second Noether theorem on time scales
cites work: Dynamics symmetries of Hamiltonian system on time scales
cites work: Noether theorem for Birkhoffian systems on time scales
cites work: Q3132130
cites work: Noether theorem for nonholonomic nonconservative mechanical systems in phase space on time scales
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: Fractional variational principle of Herglotz
cites work: Variational problems of Herglotz type with time delay: DuBois-Reymond condition and Noether's first theorem
cites work: Noether currents for higher-order variational problems of Herglotz type with time delay
cites work: Noether's theorem and its inverse of Birkhoffian system in event space based on Herglotz variational problem
DOI: 10.1007/S00707-018-2188-1
description: scientific article; zbMATH DE number 6962820