Formal Integrals for an Autonomous Hamiltonian System near an Equilibrium Point
Abstract
In this paper we give a new method to construct formal integrals for an autonomous Hamiltonian system near an equilibrium point. Our construction is reminiscent of the algorithms introduced by Hori and Deprit; we show however how it presents itself quite naturally if one follows the line of attack of Whittaker, Cherry, and Contopoulos.
- Publication:
-
Celestial Mechanics
- Pub Date:
- April 1978
- DOI:
- 10.1007/BF01232832
- Bibcode:
- 1978CeMec..17..267G
- Keywords:
-
- Canonical Forms;
- Hamiltonian Functions;
- Integral Equations;
- Equilibrium;
- Operators (Mathematics);
- Transformations (Mathematics);
- Physics (General)