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On the normal forms of Hamiltonian systems

โœ Scribed by Jan Awrejcewicz; Alexander G. Petrov

Publisher
Springer Netherlands
Year
2006
Tongue
English
Weight
326 KB
Volume
48
Category
Article
ISSN
0924-090X

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๐Ÿ“œ SIMILAR VOLUMES

Normal forms for Hamiltonian systems
Normal forms for Hamiltonian systems
โœ K. R. Meyer ๐Ÿ“‚ Article ๐Ÿ“… 1974 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 399 KB
Normal Forms of Symmetrical Hamiltonian
Normal Forms of Symmetrical Hamiltonian Systems
โœ M. Zhitomirskii ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 826 KB

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