Title :
An approximate analytical approach for predicting period-doubling in the Colpitts oscillator
Author :
Hlaggio, G.M. ; Kennedy, Michael Peter ; Gilli, Marco
Author_Institution :
Dept. of Electron. & Electr. Eng., Univ. Coll. Dublin, Ireland
Abstract :
In this paper we present a new method for approximating the period-doubling locus of a piecewise-linear model of the Colpitts oscillator. This method exploits harmonic balance techniques for solving the variational equation associated with a generic limit cycle. In this way conditions for a period-doubling bifurcation are derived
Keywords :
bifurcation; harmonic analysis; limit cycles; nonlinear network analysis; piecewise-linear techniques; variable-frequency oscillators; variational techniques; Colpitts oscillator; bifurcation; generic limit cycle; harmonic balance techniques; period-doubling prediction; piecewise-linear model; variational equation; Bifurcation; Circuits; Contracts; Educational institutions; Limit-cycles; Nonlinear equations; Oscillators; Piecewise linear techniques; Resistors; Voltage;
Conference_Titel :
Circuits and Systems, 1998. ISCAS '98. Proceedings of the 1998 IEEE International Symposium on
Print_ISBN :
0-7803-4455-3
DOI :
10.1109/ISCAS.1998.704101
