Symmetries and perturbations of a singular nonconservative system on time scales

DOI10.1007/S00707-024-03919-WzbMATH Open1546.7007MaRDI QIDQ6556496

Chuan-Jing Song, Jin Liu

Publication date: 17 June 2024

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

Mei symmetryEuler operatorNoether conserved quantityLagrangian singular system

Mathematics Subject Classification ID

Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Lagrange's equations (70H03) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09)

Cites Work

• Noether symmetries of discrete nonholonomic dynamical systems
• Calculus of variations on time scales: Weak local piecewise \(C_{\text{rd}}^{1}\) solutions with variable endpoints.
• Invariant variational problems
• Lie symmetries and conserved quantities of the constraint mechanical systems on time scales
• Mei symmetry and conservation laws for time-scale nonshifted Hamilton equations
• Perturbation to Lie symmetry and adiabatic invariants for Birkhoffian systems on time scales
• Adiabatic invariants and Lie symmetries on time scales for nonholonomic systems of non-Chetaev type
• Mei symmetry and new conserved quantities of time-scale Birkhoff's equations
• Noether's theorem on time scales
• Inequalities on time scales: a survey
• Noether theorem for nonholonomic nonconservative mechanical systems in phase space on time scales
• Dynamical symmetries and conserved quantities
• Noether theorem for Birkhoffian systems on time scales
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)

This page was built for publication: Symmetries and perturbations of a singular nonconservative system on time scales

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6556496)