Nonlinear analysis of the Colpitts oscillator and applications to design
- 1 September 1999
- journal article
- research article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Circuits and Systems I: Regular Papers
- Vol. 46 (9) , 1118-1130
- https://doi.org/10.1109/81.788813
Abstract
This paper reports a methodological approach to the analysis and design of sinusoidal oscillators based on bifurcation analysis. The simple Colpitts oscillator is taken as an example to demonstrate this nonlinear approach for both the nearly sinusoidal and chaotic modes of operation. In particular, it is shown how regular and irregular (chaotic) oscillations can be generated, depending on the circuit parameters.Keywords
This publication has 13 references indexed in Scilit:
- A Frequency Method for Predicting Limit Cycle BifurcationsNonlinear Dynamics, 1997
- Predicting chaos through an harmonic balance technique: an application to the time-delayed Chua's circuitIEEE Transactions on Circuits and Systems I: Regular Papers, 1996
- Elements of Applied Bifurcation TheoryPublished by Springer Nature ,1995
- Chaos in the Colpitts oscillatorIEEE Transactions on Circuits and Systems I: Regular Papers, 1994
- NUMERICAL DETECTION AND CONTINUATION OF CODIMENSION-TWO HOMOCLINIC BIFURCATIONSInternational Journal of Bifurcation and Chaos, 1994
- DETERMINATION OF DIFFERENT CONFIGURATIONS OF FOLD AND FLIP BIFURCATION CURVES OF A ONE OR TWO-DIMENSIONAL MAPInternational Journal of Bifurcation and Chaos, 1993
- A HARMONIC BALANCE APPROACH FOR CHAOS PREDICTION: CHUA’S CIRCUITInternational Journal of Bifurcation and Chaos, 1992
- NUMERICAL ANALYSIS AND CONTROL OF BIFURCATION PROBLEMS (I): BIFURCATION IN FINITE DIMENSIONSInternational Journal of Bifurcation and Chaos, 1991
- Local and global behavior near homoclinic orbitsJournal of Statistical Physics, 1984
- The Hopf bifurcation theorem and its applications to nonlinear oscillations in circuits and systemsIEEE Transactions on Circuits and Systems, 1979