Analog Computation #01 - Chua's Circuit

This tutorial is part of the workshop Chua’s Circuit within an Analog Computer of the AMRO20 festival in Linz, Austria 2020.

It is the first lesson about analog computation. And it is about the implementation of a Chua's Circuit in the analog computer Confetti. With this non linear calculation one will get a chaotic oscillation that sounds amazing and looks awesome on an oscilloscope.
The Chua's Circuit was invented 1983 by the engineer and computer scientist Leon O. Chua.

The circuit basically just needs 5 parts:

(graphic by Chetvorno, CC0)

C1 = 10 nF
C2 = 100 nF
R = 5 kOhm potentimeter
L = 15 mH inductor or a gyrator
NR = Chua's Diode

If the potentiometer is adjusted on the right position the circuit will oscillate in a chaotic manner.



Build

One can build a Chua's Circuit with the analog computer Confetti. Two modules are needed: the Chua's Diode and a Gyrator. A Gyrator is more handy than an inductor so one can use it instead.

Chua's Diode

Chua's Diode

There are different ways to implenent a Chu's Diode, an alternative Chua's Diode one finds here:
Confetti 102 Chua's Diode (with real diodes)

Gyrator

Power Supply

One needs a power supply, too. To get the positive and the negative 9V to power the Confetti boards the easiest way is to use two 9V batteries.
9V Battery Supply

... and some Caps and a Poti

To build a Chua's Circuit out of these board one needs additionally a breadboard or a Confetti302 Breadboard, some jumper wires, and these parts:

  • Capacitors:
  • 1x 100 nF
  • 1x 10 nF
  • Potentiometers:
  • 1x 5 kOhm

Audio Out

For attaching the circuit to an audio mixer one should use an additional high Ohm resistor. Something like 500 KOhm should do.
A much better way would be to use a buffered audio output.
Confetti103 Buffered Output

Setup

A final setup could look like that:


Schematic



Buy the Parts

One finds all parts on mouser.de:
https://www.mouser.de/ProjectManager/ProjectDetail.aspx?AccessID=2db9b9b476

or as a PDF:
warenkorb_mouser.de_mai09_0601.pdf

Additionally one needs some double sided tape to stick the paper printout on the Veroboaord and some copper wire for the PCB bridges and some breadboard jumper wires.

It is also possible to replace the TL072 operational amplifier with an LM358, both work the same.


See and Listen to it

One can connect an audio mixer (with a 500 kOhm resister) and oscilloscope probes to three different points. X and Y are at the connection of the capasitor and the poti. The third one (Z) is on the gyrator board.


An oscilloscope in X-Y mode should look like that:


Thanks

This tutorial has been made possible with AMRO20 - Art Meets Radical Openes, 2020.


License

Except where otherwise noted, the tutorial and all boards are made by Wolfgang Spahn 2016-20.
They are licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Creative Commons License