2001/09/30 by Alain J. Brizard, Alain J Brizard · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #physics.class-ph #physics.plasm-ph
paper · pdf · doi:10.1016/s0375-9601(01)00722-8
published as Physics Letters A, vol. 291/2-3, pp. 146-149 (2001). · 7 pages, Typos corrected in revised version. Accepted for publication in Physics Letters A
arxiv created 2001/10/11 · openalex publication_date 2001/12/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.