Accession Number:

ADA061726

Title:

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

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• Rabinowitz,Paul H.

Report Date:

1978-09-01

Pagination or Media Count:

35.0

Abstract:

Hamiltons 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 Kp,q Vq, 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.

Descriptors:

• *ELECTRON ENERGY
• *HAMILTONIAN FUNCTIONS
• SOLUTIONS(GENERAL)
• DIFFERENTIAL EQUATIONS
• MAPPING(TRANSFORMATIONS)
• PERIODIC VARIATIONS
• INDEXES(RATIOS)

Subject Categories:

• Numerical Mathematics
• Quantum Theory and Relativity

Distribution Statement:

APPROVED FOR PUBLIC RELEASE