2007/04/22 by Mikhail Vladimirovich Deryabin, Mikhail V. Deryabin, Deryabin, Mikhail V.
Mathematics · Physics and Astronomy · #37J05 #55Q25 #Advanced Differential Equations and Dynamical Systems #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #Hamiltonian (control theory) #Hamiltonian system #Helicity #Invariant (physics) #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum chaos and dynamical systems #Quantum mechanics #Symplectic geometry #math.DG #math.DS #msc:37J05 #msc:55Q25
paper · pdf · doi:10.48550/arxiv.0704.2879
7 pages
arxiv created 2007/04/22 · openalex publication_date 2007/04/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this note, we consider generalizations of the asymptotic Hopf invariant, or helicity, for Hamiltonian systems with one-and-a-half degrees of freedom and symplectic diffeomorphisms of a two-disk to itself.