Accession Number:

ADA094872

Title:

The Stability of Periodic Orbits.

Descriptive Note:

Technical rept.,

Corporate Author:

PRINCETON UNIV NJ JOSEPH HENRY LABS OF PHYSICS

Personal Author(s):

Report Date:

1981-01-21

Pagination or Media Count:

38.0

Abstract:

The linear stability analysis of a periodic orbit, Xot, of a dynamical system X FX, is related to the anomalous ferromagnetic resonance properties of ferrites. It is shown to have a continuous sequence of normal mode problems associated with it. This sequence defines a natural set of coordinate axes which allow the stability analysis to be put in a form which has already been dealt with analytically in the ferrite resonance theory. A simplification which allowed the basic experimental properties to be accounted for is applied to the stability analysis. The simplified analytic solution is obtained for three-mode systems, its properties and consequences are discussed and it is checked against some rigorous results. Author

Subject Categories:

  • Electricity and Magnetism
  • Atomic and Molecular Physics and Spectroscopy

Distribution Statement:

APPROVED FOR PUBLIC RELEASE