Revisiting Noether's Theorem on constants of motion

DOI10.1080/14029251.2014.894720zbMath1420.34059arXiv1207.5001OpenAlexW2963744800MaRDI QIDQ5230936

Gaetano Zampieri, Gianluca Gorni

Publication date: 29 August 2019

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.5001

zbMATH Keywords

invarianceconstants of motionNoethernonlocal constants of motionBessel-Hagen

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Related Items (6)

Lagrangian dynamics by nonlocal constants of motion ⋮ Energy dependent integrability ⋮ Nonlocal and nonvariational extensions of Killing-type equations ⋮ Conserved currents from nonlocal constants in relativistic scalar field theories ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Completely integrable Hamiltonian systems with weak Lyapunov instability or isochrony
• A class of integrable Hamiltonian systems including scattering of particles on the line with repulsive interactions
• A procedure for finding first integrals of mechanical systems with gauge- variant Lagrangians
• The Noether theorems. Invariance and conservation laws in the twentieth century. Transl. from the French by Bertram E. Schwarzbach
• Three integrable Hamiltonian systems connected with isospectral deformations
• Noetherian integrals via nonlocal transformation
• Continuous symmetries and conserved currents
• Noether equations and conservation laws
• All solutions of the n = 5 Lane–Emden equation
• Lie symmetries and Noether symmetries
• Noetherian first integrals
• Generalizations of Noether’s Theorem in Classical Mechanics
• Finitely many mass points on the line under the influence of an exponential potential -- an integrable system
• Symmetries and differential equations

This page was built for publication: Revisiting Noether's Theorem on constants of motion