The Stability of Periodic Orbits.

reportActive / Technical Report | Accession Number: ADA094872 | Open PDF

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

Author(s):
Sneddon, Leigh
Author Organization(s):
PRINCETON UNIV NJ JOSEPH HENRY LABS OF PHYSICS
Descriptive Note:
Technical rept.,
Pagination:
0038

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Contract/Grant Number(s):
N00014-77-C-0711
 Subject Terms
Joint Capability Areas:
JCA_5_Command and Control; JCA_5.3_Planning; JCA_1_Force Support; JCA_6.3.3_Spectrum Management; JCA_1.3_Human Capital Management; JCA_1.3.2_Personnel Management; JCA_6.3_Net Management; JCA_6_Net Centric
Modernization Areas:
Fully Networked C3; Autonomy
Communities of Interest:
Air Platforms
Descriptor(s):
*FERRITES, *MOLECULAR ORBITALS, *FERROMAGNETIC RESONANCE, ANOMALIES, STABILITY, EIGENVALUES, EQUATIONS OF STATE, SPIN STATES, PERIODIC VARIATIONS
Field(s)/Group(s):
Electricity and Magnetism, Atomic and Molecular Physics and Spectroscopy
Keyword(s):
Normal mode theory, Spin waves, Bifurcation theory, WUNR318058
Report Date:
1981 Jan 21