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Symplectic Dynamical Systems

  • Vladimir F. Lazutkin
Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete book series (MATHE3, volume 24)

Abstract

In this section, we shall work out the necessary parts of linear algebra. The notations and the statements will be used in the next sections for developing the symplectic geometry and the theory of Hamiltonian systems. The following definitions can be found summarized in “list of General Mathematical Notations” earlier.

Keywords

Symplectic Manifold Symplectic Structure Lagrangian Submanifold Integrable Hamiltonian System Lagrangian Subspace 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • Vladimir F. Lazutkin
    • 1
  1. 1.Department of Mathematical Physics Institute of PhysicsSt. Petersburg State UniversityPetrodvorets St. PetersburgRussia

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