Homoclinic Orbits for a Class of Hamiltonian Systems

Abstract

This document establishes the existence of a homoclinic solution of a Hamiltonian system assuming that the potential V is T periodic in t, grows more rapidly than quadratically as the value of 9 approaches limit of infinity and satisfies some other technical conditions. The homoclinic solution is obtained as the limit of subharmonic solutions of (*). The subharmonic solutions are found using a minimax argument.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1989
Accession Number
ADA210562

Entities

People

  • Paul Rabinowitz

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Abstracts
  • Banach Space
  • Calculus
  • Calculus Of Variations
  • Geometry
  • Hilbert Space
  • Military Research
  • Mountains
  • Periodic Functions
  • Triangles
  • Universities
  • Variational Methods
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Control Systems Engineering.

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  • Space
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