Some Results on Connecting Orbits for a Class of Hamiltonian Systems

Abstract

The existence of various kinds of connecting orbits is established for a certain Hamiltonian system as well as its time dependent analogue. For the autonomous case, our main assumption is that V has a global maximum, e.g. at X = O and we find a various kinds of orbits terminating at O. For the time dependent case V has a local but not global maximum at X = O and we find a homoclinic orbit emanating from and terminating at O. Keywords: Periodic solution.

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Document Details

Document Type
Technical Report
Publication Date
Oct 17, 1989
Accession Number
ADA213536

Entities

People

  • Kazunaka Tanaka
  • Paul Rabinowitz

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Analogs
  • Energy
  • Equations
  • Geometry
  • Hilbert Space
  • Hypotheses
  • Intervals
  • Linear Systems
  • Military Research
  • Mountains
  • Periodic Functions
  • Potential Energy
  • Sequences
  • Two Dimensional
  • United States
  • United States Government
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.

Technology Areas

  • Space
  • Space - Orbital Debris