Chaos in the Colpitts oscillator
- 1 November 1994
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Circuits and Systems I: Regular Papers
- Vol. 41 (11) , 771-774
- https://doi.org/10.1109/81.331536
Abstract
In this work, we present experimental results and SPICE simulations of chaos in a Colpitts oscillator. We show that the nonlinear dynamics of this oscillator may be modeled by a third-order autonomous continuous-time circuit consisting of a linear inductor, two linear capacitors, two linear resistors, two independent voltage sources, a linear current-controlled current source, and a single voltage-controlled nonlinear resistor. The nonlinear resistor has a two-segment piecewise-linear DP characteristic. With the appropriate choice of parameters, the piecewise-linear circuit model has a positive Lyapunov exponent.<>Keywords
This publication has 4 references indexed in Scilit:
- Chaos shift keying: modulation and demodulation of a chaotic carrier using self-synchronizing Chua's circuitsIEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, 1993
- TRANSMISSION OF DIGITAL SIGNALS BY CHAOTIC SYNCHRONIZATIONInternational Journal of Bifurcation and Chaos, 1992
- Signal processing in the context of chaotic signalsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1992
- INSITE—A software toolkit for the analysis of nonlinear dynamical systemsProceedings of the IEEE, 1987