Periodic Solutions of a Hamiltonian System on a Prescribed Energy Surface.

Abstract

Hamilton's equations are basic in the study of theoretical mechanics. A particular class of motions of interest for (*) are periodic ones. For Hamiltonians which are of the form H9p,q) = K(p,q) + V(q), we give sufficient conditions for the kinetic and potential energies K and V to satisfy so that (*) possesses a periodic orbit on a prescribed energy surface.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1978
Accession Number
ADA061726

Entities

People

  • Paul Rabinowitz

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Celestial Mechanics
  • Continents
  • Differential Equations
  • Energy
  • Equations
  • Geographic Regions
  • Geometry
  • Inequalities
  • Integrals
  • Lie Groups
  • Mathematics
  • Mechanics
  • Military Research
  • Sequences
  • Universities
  • Wisconsin

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis

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  • Space