1977/08/31 by A. M. Vinogradov, Boris A. Kupershmidt · 1 citation
Physics and Astronomy · Mathematics · Medicine · #Quantum chaos and dynamical systems #Nonlinear Waves and Solitons #Geometric and Algebraic Topology #Mathematics #Hamiltonian (control theory) #Classical mechanics #Calculus (dental) #Mathematical physics #Physics #Medicine #Mathematical optimization #Orthodontics
paper · doi:10.1070/rm1977v032n04abeh001642
openalex publication_date 1977/08/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/11
ContentsIntroduction ? 0. Definitions, notation, and basic facts ? 1. The universal 1-form. Lagrangian manifolds ? 2. Fields and 1-forms on ? ? 3. Poisson brackets ? 4. Symmetries ? 5. The structure of Hamiltonian systems with a given degree of symmetry ? 6. Completely integrable systems ? 7. The theorems of Darboux and Weinstein ? 8. Invariant Hamilton-Jacobi theory ? 9. Hamiltonians of mechanical type ? 10. Mechanical systems. ExamplesAppendix I. BifurcationsAppendix II. A.?V.?Bocharov and A.?M.?Vinogradov, The Hamiltonian form of mechanics with friction, non-holonomic mechanics, invariant mechanics, the theory of refraction and impactReferences