Summary

the 2014 International Symposium on Nonlinear Theory and its Applications

2014

Session Number:C2L-A

Session:

Number:C2L-A4

A simple Two-Transistor Chaos Generator Based On A Resistor-Capacitor Phase Shift Oscillator

Lars Keuninckx,  Guy Van der Sande,  Jan Danckaert,  

pp.490-493

Publication Date:2014/9/14

Online ISSN:2188-5079

DOI:10.34385/proc.46.C2L-A4

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Summary:
We added a small subcircuit to an otherwise standard one-transistor self-biasing resistor-capacitor (RC) phase-shift oscillator to induce chaotic oscillations in four dimensions. The final circuit that we have designed uses only two transistors, no inductors, and is powered by a single supply voltage. As such it is an attractive and low-cost source of chaotic oscillations for many applications. We show that the qualitative behaviour of the circuit is captured using a simplified piecewise linear transistor model. Our analysis of this model shows the chaos to stem from hysteretic jumps between unstable equilibria around which growing oscillations exist.