Normal Forms of Symmetrical Hamiltonian
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M. Zhitomirskii
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Article
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1994
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Elsevier Science
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English
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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