๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Computing normal forms of nonseparable Hamiltonians by symbolic manipulation

โœ Scribed by P.E. Raines; T. Uzer

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
563 KB
Volume
70
Category
Article
ISSN
0010-4655

No coin nor oath required. For personal study only.

โœฆ Synopsis

Finding normal forms of nonintegrable Hamiltonians is a problem encountered in many branches of physics. In this article, a symbolic program is presented which uses a succession of canonical transformations to construct the Birkhoff-Gustavson normal form of a nonseparable Hamiltonian.

๐Ÿ“œ SIMILAR VOLUMES

SYMBOLIC COMPUTATION OF NORMAL FORMS FOR
SYMBOLIC COMPUTATION OF NORMAL FORMS FOR RESONANT DOUBLE HOPF BIFURCATIONS USING A PERTURBATION TECHNIQUE
โœ P. YU ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 312 KB

This paper presents a perturbation method for computing the normal forms of resonant double Hopf bifurcations with the aid of a computer algebraic system. This technique, based on the method of multiple time scales, can be used to deal with general n-dimensional systems without the application of ce

A proof of the normal form theorem for t
A proof of the normal form theorem for the closed terms of Girard's system F by means of computability
โœ Silvio Valentini ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 300 KB

## Abstract In this paper a proof of the normal form theorem for the closed terms of __Girard's system F__ is given by using a computability method ร  la Tait. It is worth noting that most of the standard consequences of the normal form theorem can be obtained using this version of the theorem as we