I had been reading on chaos generators in the past, and this e-mail got me interested again. Their design is somewhat complicated, with a total of 13 stages of 7 different circuit blocks. You can read all about it in the PDF they published
A much simpler chaos generator that can be built with a lot less components is called Chua’s circuit. The downside with this simple circuit is that you need an inductor which you might have to wind up yourself. Also there should be much less variety than in the waveforms of the Elektor circuit. It has so many stages that can saturate to give different waveforms.
Still, Chua’s circuit is very interesting to fiddle with. I haven’t built the circuit yet, but I did some simulations with LTSpice IV and here’s what I found out.
LTSpice simulation of Chua’s circuit - [Link]