The Stability of Periodic Orbits.

Abstract

The linear stability analysis of a periodic orbit, X(o)(t), of a dynamical system X = F(X), 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)

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Document Details

Document Type
Technical Report
Publication Date
Jan 21, 1981
Accession Number
ADA094872

Entities

People

  • Leigh Sneddon

Organizations

  • Princeton University

Tags

Communities of Interest

  • Air Platforms
  • Autonomy
  • C4I

DTIC Thesaurus Topics

  • Computational Science
  • Convection
  • Differential Equations
  • Eigenvalues
  • Equations
  • Equations Of Motion
  • Ferromagnetic Resonance
  • Frequency
  • Generators
  • Linear Differential Equations
  • Mathematics
  • Molecular Mechanics Methods
  • Physics
  • Resonance
  • Sequences
  • Spin Waves
  • Transverse

Readers

  • Control Systems Engineering.
  • Operations Research

Technology Areas

  • Space
  • Space - Orbital Debris