Theory of generalized canonical transformations for Birkhoff systems

DOI10.1155/2020/9482356zbMath1484.70022OpenAlexW3030948044MaRDI QIDQ2246574

Yi Zhang

Publication date: 16 November 2021

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/9482356

Mathematics Subject Classification ID

Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06)

Related Items (1)

Time-scale version of generalized Birkhoffian mechanics and its symmetries and conserved quantities of Noether type

Cites Work

• Unnamed Item
• Variational integrators for forced Birkhoffian systems
• Noether symmetries and conserved quantities for fractional Birkhoffian systems
• Noether's theorem for fractional Birkhoffian systems of variable order
• Group classification of the generalized Emden-Fowler-type equation
• Variational integrators for fractional Birkhoffian systems
• Noether theorem for non-conservative systems with time delay on time scales
• Lie symmetry and invariants for a generalized Birkhoffian system on time scales
• Fractional Birkhoffian mechanics
• Variational problem of Herglotz type for Birkhoffian system and its Noether's theorems
• Conserved quantities and adiabatic invariants for El-Nabulsi's fractional Birkhoff system
• Noether theorem for Birkhoffian systems on time scales

This page was built for publication: Theory of generalized canonical transformations for Birkhoff systems