Advertisement

Hamiltonian Systems on Linear Symplectic Spaces

  • Jerrold E. Marsden
  • Tudor S. Ratiu
Chapter
  • 2.5k Downloads
Part of the Texts in Applied Mathematics book series (TAM, volume 17)

Abstract

A natural arena for Hamiltonian mechanics is a symplectic or Poisson manifold. The next few chapters concentrate on the symplectic case, while Chapter 10 introduces the Poisson case. The symplectic context focuses on the symplectic two-form \( \sum {d{q^i} \wedge d{p_i}} \) and its infinite-dimensional analogues, while the Poisson context looks at the Poisson bracket as the fundamental object.

Keywords

Vector Field Hamiltonian System Phase Portrait Poisson Bracket Symplectic Form 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • Jerrold E. Marsden
    • 1
  • Tudor S. Ratiu
    • 2
  1. 1.California Institute of TechnologyControl and Dynamical Systems, 107-81PasadenaUSA
  2. 2.Département de mathématiquesEcole polytechnique fédérale de LausanneLausanneSwitzerland

Personalised recommendations