First integrals via polynomial canonical transformations

DOI10.1063/1.526067zbMath0551.70012OpenAlexW2014555616MaRDI QIDQ3343486

Peter G. L. Leach

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1063/1.526067

zbMATH Keywords

generalization of damped Duffing oscillatortime-dependent polynomial canonical transformationstime-dependent polynomial Hamiltonians

Mathematics Subject Classification ID

Hamilton's equations (70H05) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Hamilton-Jacobi equations in mechanics (70H20) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Related Items (1)

Hamiltonian formalism and time transformations in the extended phase space \(T^*(Q \times \mathbb{R})\)

Cites Work

• A direct approach to finding exact invariants for one-dimensional time-dependent classical Hamiltonians
• On the polynomial first integrals of certain second-order differential equations
• First integrals for some nonlinear time-dependent Hamiltonian systems
• Some applications of time-dependent canonical transformations to nonlinear nonconservative classical systems
• Exact invariants for a class of time-dependent nonlinear Hamiltonian systems
• On the theory of time-dependent linear canonical transformations as applied to Hamiltonians of the harmonic oscillator type

This page was built for publication: First integrals via polynomial canonical transformations