Integration of Hamiltonian Systems

Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete book series (MATHE3, volume 31)


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.


Riemann Surface Hamiltonian System Hamilton Function Vortex Line Hamilton Equation 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  1. 1.Department of MathematicsMoscow State UniversityMoscowRussia

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