Symplectic Dynamical Systems

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


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.


Symplectic Manifold Symplectic Structure Lagrangian Submanifold Integrable Hamiltonian System Lagrangian Subspace 
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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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