Accession Number:

ADA210558

Title:

Subharmonic Solutions Near an Equilibrium Point for Hamiltonian Systems

Descriptive Note:

Technical summary rept.

Corporate Author:

WISCONSIN UNIV-MADISON CENTER FOR MATHEMATICAL SCIENCES

Personal Author(s):

• Felmer, Patricio L.

Report Date:

1989-04-01

Pagination or Media Count:

77.0

Abstract:

This document studies subharmonic solutions near an equilibrium point for a Hamiltonian system. On the linear part of the system we impose a condition expressed in terms of its symplectic invariants. The higher order term is assumed to be superquadratic near the equilibrium point, and we show that this condition can be reduced to the center manifold. We transform the Hamiltonian system to a variational problem and we apply a minimax argument to find critical points. Keywords Hamiltonian matrices.

Descriptors:

• *HAMILTONIAN FUNCTIONS
• *HARMONICS
• SOLUTIONS(GENERAL)
• MINIMAX TECHNIQUE
• EQUILIBRIUM(GENERAL)
• TRANSFORMATIONS(MATHEMATICS)

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE