Integration of Hamiltonian Systems

  • Valerij V. Kozlov
Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete book series (MATHE3, volume 31)

Abstract

Differential equations and, in particular, the Hamilton equations can be divided into integrable and non-integrable. “However, trying to give an exact definition of integrability, we discover that many different definitions are possible and each of them is interesting from a certain theoretical point of view” (Birkhoff [23]). In this chapter we survey various approaches to the problem of integrability of Hamiltonian systems.

Keywords

Vortex Manifold Dition dcpI 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  • Valerij V. Kozlov
    • 1
  1. 1.Department of MathematicsMoscow State UniversityMoscowRussia

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