Chaotic Colpitts Oscillator

Abstract

Studies of chaos in electronic circuits and systems have shown that chaotic signals generated in these systems can potentially be used as carriers for information transmission in the communications systems. This paper demonstrates the generation of chaos in the Colpitts oscillator by using numerical simulation. The dynamics of the different voltages and the current through the inductor are calculated when the series resistance with inductor taken as a bifurcation element. The values of the emitter resistance that generate the chaotic behavior is investigated. The generation of chaos is confirmed by calculating the bifurcation diagram, phase portrait attractors, and three dimensional- attractors. The bifurcation diagram allows the classification of the regions of the different behaviors of oscillator (quasi-periodic oscillations and chaotic oscillations).