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“Numerical Research of Periodic Solution for a Hamiltonian System”

  • E. Gaussens
Part of the Annals of CEREMADE book series (CEREMADE, volume 2)

Abstract

This paper deals with the following problem: Find approximate solutions of
$$ \left\{ \begin{gathered} \frac{{dy}}{{dt}} = \frac{{\partial H}}{{\partial q}}(y,q) + {{f}_{1}}(t) \hfill \\ \frac{{dq}}{{dt}} = - \frac{{\partial H}}{{\partial y}}(y,q) + {{f}_{2}}(t) \hfill \\ \end{gathered} \right.\quad t \in [0,T] $$
(H)
with T pre-assigned, and the boundary constraint:
$$ \left\{ \begin{gathered} y(0)\; = \;y(T)\quad \in \quad {{R}^{n}} \hfill \\ q(0)\; = \;q(T)\quad \in \quad {{R}^{n}} \hfill \\ \end{gathered} \right. $$
(B.C)

Keywords

Periodic Solution Hamiltonian System Projection Method Boundary Constraint Critical Point Theory 
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

© Birkhäuser Boston, Inc. 1983

Authors and Affiliations

  • E. Gaussens
    • 1
  1. 1.CEREMADE I.P.S.N.USA

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