Accession Number:

ADA110465

Title:

Periodic Solutions of Large Norm of Hamiltonian Systems.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1981-09-01

Pagination or Media Count:

25.0

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.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE