Relaxation oscillations, parasitics, and singular perturbations

Author

Wax, N.

Volume

Issue

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

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1171174