Geometric Hamiltonian structures and perturbation theory

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type , Article 01 Dec 2005 United States English Publisher:Springer Science and Business Media LLC

Authors: Omohundro, S.;

doi: 10.1007/bfb0018331

Geometric Hamiltonian structures and perturbation theory

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Abstract

We have been engaged in a program of investigating the Hamiltonian structure of the various perturbation theories used in practice. We describe the geometry of a Hamiltonian structure for non-singular perturbation theory applied to Hamiltonian systems on symplectic manifolds and the connection with singular perturbation techniques based on the method of averaging.

Country

United States

Related Organizations

University of North Texas
United States
University of California
United States
University of California, Berkeley
United States

Keywords

General Physics, Functions 657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics, Hamiltonian Function, Perturbation Theory, 71 Classical And Quantum Mechanics

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