DocumentCode
1442621
Title
Quenching phenomena in synchronized Van de Pol systems
Author
Huang, Z.Y.
Author_Institution
Center for Autom., Maryland Univ., College Park, MD, USA
Volume
36
Issue
6
fYear
1989
fDate
6/1/1989 12:00:00 AM
Firstpage
897
Lastpage
901
Abstract
Quenching of sinusoidally driven Van der Pol systems is considered and conditions developed under which harmonic synchronous quenching occurs. For this, a multiple time expansion is used to solve the Van der Pol equation with the sinusoidal forcing term. By controlling the expansion in terms of a small parameter and equating terms of like order in the parameter, the solutions of asynchronous and synchronous state are obtained. From these solutions the conditions for harmonic synchronous quenching are developed and a plot given to show the quenching region
Keywords
circuit oscillations; nonlinear network analysis; relaxation oscillators; synchronisation; FET oscillators; Van der Pol equation; asynchronous state; harmonic synchronous quenching; multiple time expansion; sinusoidal forcing term; synchronized Van de Pol systems; Application software; Circuits and systems; Covariance matrix; Equations; Filtering; Frequency synchronization; Image restoration; Kalman filters; Power harmonic filters; State estimation;
fLanguage
English
Journal_Title
Circuits and Systems, IEEE Transactions on
Publisher
ieee
ISSN
0098-4094
Type
jour
DOI
10.1109/31.90413
Filename
90413
Link To Document