Periodic Solutions of Large Norm of Hamiltonian Systems.

Abstract

Hamiltonian systems of ordinary differential equations model the motion of a discrete mechanical system. This paper considers a class of such systems assuming only suitably rapid growth for the Hamiltonian near infinity. Minimax and comparison arguments from the calculus of variations are then used to show that for any prescribed period, there exist arbitrarily large solutions of the system having the given period.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1981
Accession Number
ADA110465

Entities

People

  • Paul Rabinowitz

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Calculus
  • Calculus Of Variations
  • Computations
  • Differential Equations
  • Equations
  • Functions (Mathematics)
  • Inequalities
  • Invariance
  • Mathematics
  • Monotone Functions
  • North Carolina
  • Periodic Functions
  • Scalar Functions
  • Sequences
  • Truncation
  • United States
  • Wisconsin

Readers

  • Control Systems Engineering.
  • Operations Research