DocumentCode :
1171174
Title :
Relaxation oscillations, parasitics, and singular perturbations
Author :
Wax, N.
Volume :
19
Issue :
6
fYear :
1972
fDate :
11/1/1972 12:00:00 AM
Firstpage :
623
Lastpage :
625
Abstract :
The rate at which solutions of \\lambda \\dot{x} = F(x, y), \\dot{y} = G(x, y), 0 \\leq \\lambda \\ll 1, x an n -vector, y an m -vector, approach the solutions of F(x, y) = 0, \\dot{y} = G(x, y) is obtained. Physically, this is important in the study of parasitics, in relaxation oscillations, and in other applications. The behavior of solutions of the Liénard equation near a jump is also deduced. This result is pertinent for certain relaxation oscillations.
Keywords :
Lienard equation; Nonlinear oscillators; Relaxation oscillators; Special issue - correspondence; Circuit theory; Control systems; Councils; Coupling circuits; Electronic circuits; Equations; Mathematics; Orbits; Oscillators;
fLanguage :
English
Journal_Title :
Circuit Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9324
Type :
jour
DOI :
10.1109/TCT.1972.1083561
Filename :
1083561
Link To Document :
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