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Bi-Hamiltonian systems of natural form

✍ Scribed by A. V. Tsyganov

Publisher: SP MAIK Nauka/Interperiodica
Year: 2006
Tongue: English
Weight: 247 KB
Volume: 149
Category: Article
ISSN: 0040-5779
DOI: 10.1007/s11232-006-0130-5

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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