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Symmetries, topology, and resonances in Hamiltonian mechanics /

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John Hornstein has written about the author's theorem on nonintegrability of geodesic flows on closed surfaces of genus greater than one: "Here is an example of how differential geometry, differential and algebraic topology, and Newton's laws make music together" (Amer. Math. Mon...

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Bibliographic Details
Main Author: Kozlov, V. V. (Valeriĭ Viktorovich)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin ; New York : Springer, [1996]
Series:Ergebnisse der Mathematik und ihrer Grenzgebiete ; 3. Folge, Bd. 31.
Subjects:
Hamiltonian systems.
Symmetry (Physics)
Topology.
Mathematical physics.
Systèmes hamiltoniens.
Symétrie asymptotique (Physique)
Topologie.
Physique mathématique.
Symmetrie.
Symétrie (physique)
Hamilton-Formalismus.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • I. Hamiltonian Mechanics
  • II. Integration of Hamiltonian Systems
  • III. Topological and Geometrical Obstructions to Complete Integrability
  • IV. Nonintegrability of Hamiltonian Systems Close to Integrable Ones
  • V. Splitting of Asymptotic Surfaces
  • VI. Nonintegrability in the Vicinity of an Equilibrium Position
  • VII. Branching of Solutions and Nonexistence of Single-Valued Integrals
  • VIII. Polynomial Integrals of Hamiltonian Systems.