Continuous orbital invariants of integrable Hamiltonian systems

DOI10.1134/S199508021706004XzbMath1383.37043OpenAlexW2769400957MaRDI QIDQ1703310

E. A. Kudryavtseva

Publication date: 2 March 2018

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s199508021706004x

zbMATH Keywords

integrable Hamiltonian systemrotation functionintegrable incompressible floworbital invariant

Mathematics Subject Classification ID

Cites Work

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• Helicity is the only invariant of incompressible flows whose derivative is continuous in the \(C^1\) topology
• Stable topological non-conjugacy of Hamiltonian systems on two-dimensional surfaces
• Stable conjugation invariants of Hamiltonian systems on two-dimensional surfaces
• Conjugation invariants on the group of area-preserving diffeomorphisms of the disk
• A TOPOLOGICAL INVARIANT AND A CRITERION FOR THE EQUIVALENCE OF INTEGRABLE HAMILTONIAN SYSTEMS WITH TWO DEGREES OF FREEDOM

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