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Global aspects of hamiltonian normal forms

โœ Scribed by Christian Elphick


Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
415 KB
Volume
127
Category
Article
ISSN
0375-9601

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We study the following question: to what simplest normal form can a Hamiltonian with a symmetry group \(\Gamma\) be reduced by a \(\Gamma\)-equivariant contactomorphism (a contactomorphism conjugated with each transformation from \(\Gamma\) ). In particular, we point out conditions under which there

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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.