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Normal Form for Families of Hamiltonian Systems

✍ Scribed by Zhi Guo Wang

Publisher: Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year: 2006
Tongue: English
Weight: 280 KB
Volume: 23
Category: Article
ISSN: 1439-7617
DOI: 10.1007/s10114-005-0844-6

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📜 SIMILAR VOLUMES

Normal forms for Hamiltonian systems

✍ K. R. Meyer 📂 Article 📅 1974 🏛 Springer Netherlands 🌐 English ⚖ 399 KB

Normal form analysis of integrable Hamil

Normal form analysis of integrable Hamiltonian systems

✍ R.C. Miranda Filho; R.F.S. Andrade 📂 Article 📅 1991 🏛 Elsevier Science 🌐 English ⚖ 376 KB

Normal Forms of Symmetrical Hamiltonian

Normal Forms of Symmetrical Hamiltonian Systems

✍ M. Zhitomirskii 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 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

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On the normal forms of Hamiltonian systems

✍ Jan Awrejcewicz; Alexander G. Petrov 📂 Article 📅 2006 🏛 Springer Netherlands 🌐 English ⚖ 326 KB

Normal modes for nonlinear hamiltonian s

Normal modes for nonlinear hamiltonian systems

✍ Alan Weinstein 📂 Article 📅 1973 🏛 Springer-Verlag 🌐 English ⚖ 518 KB

Versal Deformations and Normal Forms for

Versal Deformations and Normal Forms for Reversible and Hamiltonian Linear Systems

✍ I. Hoveijn 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 960 KB

The problem of this article is the characterization of equivalence classes and their versal deformations for reversible and reversible Hamiltonian matrices. In both cases the admissible transformations form a subgroup G of Gl(m). Therefore the Gl(m)-orbits of a given matrix may split into several G-