Periodic Solutions of Prescribed Energy for a Class of Hamiltonian Systems.
Abstract
Hamiltonian systems of ordinary differential equations model the motion of a discrete mechanical system when no frictional forces are present. A basic property of such systems is that energy is conserved. Therefore solutions of Hamiltonian systems lie on surfaces of fixed energy. The main result of this paper is a fairly general criterion for such a surface to possess a periodic solution.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1984
- Accession Number
- ADA149487
Entities
People
- P. H. Rabinowitz
- V. Benci
Organizations
- University of Wisconsin–Madison