Generating functions, bi-Hamiltonian systems, and the quadratic-Hamiltonian theorem

DOI10.1063/1.529028zbMath0701.70015OpenAlexW1615049086MaRDI QIDQ3479550

José F. Cariñena, Manuel F. Rañada

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.529028

zbMATH Keywords

bi-Hamiltonian systemscanonoid transformationsquadratic Hamiltonian theorem

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items

Alternative Lagrangians for central potentials, Canonoid and Poissonoid transformations, symmetries and biHamiltonian structures, Quasi-bi-Hamiltonian structures, complex functions and superintegrability: the Tremblay–Turbiner–Winternitz (TTW) and the Post–Winternitz (PW) systems, Quasi-bi-Hamiltonian structures of the 2-dimensional Kepler problem, Hamiltonian formalism and time transformations in the extended phase space \(T^*(Q \times \mathbb{R})\)

Cites Work

• Groups of canonical transformations and the virial-Noether theorem
• Lee Hwa Chung theorem for presymplectic manifolds. Canonical transformations for constrained systems
• Poisson maps and canonoid transformations for time-dependent Hamiltonian systems
• Canonoid transformations from a geometric perspective