Chaos in the Colpitts Oscillator
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. © 1994 IEEE
Publication Title
IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
Recommended Citation
Kennedy, M. (1994). Chaos in the Colpitts Oscillator. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 41 (11), 771-774. https://doi.org/10.1109/81.331536
