Closed Geodesics for the Jacobi Metric and Periodic Solutions of Prescribed Energy of Natural Hamiltonian Systems.

Abstract

Questions of existence of periodic solutions for classical mechanical systems have a long history. The development of the nonlinear functional analysis has provided powerful new tools and renewed interest in these problems. This paper considers the Hamiltonian system under certain circumstances.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1984
Accession Number
ADA141654

Entities

People

  • V. Benci

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Differential Equations
  • Differential Geometry
  • Equations
  • Functional Analysis
  • Geodesics
  • Geometry
  • Hamiltonian Functions
  • Inequalities
  • Integrals
  • Lagrangian Functions
  • Mathematics
  • North Carolina
  • Security
  • Sequences
  • Standards
  • United States
  • Universities

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis