Subharmonic Solutions Near an Equilibrium Point for Hamiltonian Systems

Abstract

This document studies subharmonic solutions near an equilibrium point for a Hamiltonian system. On the linear part of the system we impose a condition expressed in terms of its symplectic invariants. The higher order term is assumed to be superquadratic near the equilibrium point, and we show that this condition can be reduced to the center manifold. We transform the Hamiltonian system to a variational problem and we apply a minimax argument to find critical points. Keywords: Hamiltonian matrices.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1989
Accession Number
ADA210558

Entities

People

  • Patricio L. Felmer

Organizations

  • University of Wisconsin–Madison

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Communities of Interest

  • C4I
  • Energy and Power Technologies
  • Materials and Manufacturing Processes

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  • Air Force
  • Differential Equations
  • Eigenvalues
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  • Equations
  • Linear Systems
  • Mathematics
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  • Notation
  • Periodic Functions
  • Perturbation Theory
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  • Variational Equations

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  • Calculus or Mathematical Analysis