A geometric view of Hamiltonian perturbation theory

Abstract

The variational formulation for Lie-transform Hamiltonian perturbation theory is presented in terms of an action functional defined on a two-dimensional parameter space. A fundamental equation in Hamiltonian perturbation theory is shown to result from the freedom of choice of the integration path for the action functional.

7 pages, Typos corrected in revised version. Accepted for publication in Physics Letters A

Cited by in corpus (4)

• A guiding-center Fokker-Planck collision operator for nonuniform magnetic fields
• Finding Hannay angle in dissipative oscillatory systems via conservative perturbation theory
• Hamiltonian formulations for perturbed dissipationless plasma equations
• Perturbative variational formulation of the Vlasov-Maxwell equations