FORMAL STABILITY OF HAMILTONIAN SYSTEMS WITH TWO DEGREES OF FREEDOM.
Abstract
Motion near periodic solutions is characterized by the eigen-values of the linear terms of the differential equation in local coordinates. When these local coordinates have purely imaginary characteristic roots the possibility of stability exists. When these roots are commensurable with the frequency of the periodic solution the system is in general unstable. It was believed that there were an infinite set of algebraic conditions necessary for formal stability. These are herein to reduce to two for a Hamiltonian system with two degrees of freedom. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1966
- Accession Number
- AD0483126
Entities
People
- Stephen P. Diliberto
Organizations
- University of California, Berkeley