On the Number of Periodic Trajectories for a Hamiltonian Flow on a Convex Energy Surface.
Abstract
In this paper, it is assumed that the Hamiltonian H is convex of IR(n) x IR(n), and that the origin (0,0) is an isolated equilibrium. It is also assumed that some ball B around the origin can be found such that the energy surface H to the minus 1(h) lies outside B but inside square root of 2 B. Under these assumptions, we prove that there are at least n distinct periodic orbits of the Hamiltonian flow (H) with energy level h. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1980
- Accession Number
- ADA086367
Entities
People
- Ivar Ekeland
- Jean-michel Lasry
Organizations
- University of Wisconsin–Madison