A Simple Two-Transistor Chaos Generator Based on a Resistor-Capacitor Phase Shift Oscillator

Research output: Chapter in Book/Report/Conference proceedingConference paper

Abstract

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.
Original languageEnglish
Title of host publication2014 International Symposium on Nonlinear Theory and its Applications (NOLTA2014) Luzern, Switzerland, September 14-18, 2014
Pages490-493
Number of pages4
Publication statusPublished - 14 Sep 2014
Event2014 International Symposium on Nonlinear Theory and its Applications: NOLTA2014 - Luzern, Switzerland
Duration: 14 Sep 201418 Sep 2014

Publication series

NameConference Proceedings

Conference

Conference2014 International Symposium on Nonlinear Theory and its Applications
Abbreviated titleNOLTA 2014
Country/TerritorySwitzerland
CityLuzern
Period14/09/1418/09/14

Keywords

  • chaos
  • oscillator

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