Title :
A criterion of existence and uniqueness of the stable limit cycle in second-order oscillators
Author :
Buonomo, Antonio ; Di Bello, Carlo ; Greco, Oreste
fDate :
9/1/1983 12:00:00 AM
Abstract :
Conditions that ensure the existence of a single stable limit cycle in second-order oscillators are found. These conditions enable to characterize both the required nonlinear element and the range of values of the linear circuit parameters in a simple way. It will be shown how these conditions can be applied to the design of the commonly used oscillators.
Keywords :
Limit cycles; Nonlinear mathematics; Nonlinear oscillators; Oscillator stability; Stability, nonlinear systems; Differential equations; Ear; Feedback circuits; Limit-cycles; Linear circuits; Linearity; Nonlinear dynamical systems; Nonlinear equations; Oscillators; Transfer functions;
Journal_Title :
Circuits and Systems, IEEE Transactions on
DOI :
10.1109/TCS.1983.1085407