Symmetries of Hamiltonian Equations and Λ-Constants of Motion

DOI10.1142/S1402925109000315zbMath1362.70022arXiv1004.0300OpenAlexW2963908395MaRDI QIDQ5737643

Giampaolo Cicogna

Publication date: 30 May 2017

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

Full work available at URL: https://arxiv.org/abs/1004.0300

zbMATH Keywords

Lie point symmetriesreduction proceduresHamiltonian equations of motion\(\Lambda\)-constants of motion\(\Lambda\)-invariant Lagrangians\(\Lambda\)-symmetries

Mathematics Subject Classification ID

Hamilton's equations (70H05) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Related Items (5)

On the geometry of twisted prolongations, and dynamical systems ⋮ On the connections between symmetries and conservation rules of dynamical systems ⋮ On the geometry of twisted symmetries: gauging and coverings ⋮ Simple and collective twisted symmetries ⋮ \( \mathscr{C}^\infty \)-symmetries of distributions and integrability

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Invariance and first integrals of continuous and discrete Hamiltonian equations
• Symmetry and integration methods for differential equations
• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
• Symmetry and Perturbation Theory in Nonlinear Dynamics
• Applications of Solvable Structures to the Nonlocal Symmetry-Reduction of Odes

This page was built for publication: Symmetries of Hamiltonian Equations and Λ-Constants of Motion