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The Rössler attractor challenge.

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richmit:
One more.  The Lorenz Attractor.  The details are here:

     https://www.mitchr.me/SS/lorenz/index.html#sim-vis-analog

This first image is a long exposure with the scope intensity set very low:



And here is a movie:

imo:
Or this simple one:

More on www.chaotic-circuits.com

imo:

--- Quote from: richmit on August 06, 2021, 05:24:42 pm ---
I built this (or tried to), and got a sinusoid.  I built it again on my lunch break today. Got another beautiful sinusoid!  At least my simulations show the right thing...

I'm sure I'm doing something silly, so I'm going to set the breadboard aside for a bit and finish up my Lorenz board.  When I look at it again, I'll no doubt slap myself when I realize whatever I've done wrong. ;)

--- End quote ---

There is an IEEE paper on that circuit you may study:

http://www.chaotic-circuits.com/wp-content/uploads/2016/06/Simple-Two-Transistor-Single-Supply-RC-Chaotic-Oscillator.pdf

richmit:

--- Quote from: imo on August 07, 2021, 09:27:56 am ---
--- Quote from: richmit on August 06, 2021, 05:24:42 pm ---
I built this (or tried to), and got a sinusoid.  I built it again on my lunch break today. Got another beautiful sinusoid!  At least my simulations show the right thing...

I'm sure I'm doing something silly, so I'm going to set the breadboard aside for a bit and finish up my Lorenz board.  When I look at it again, I'll no doubt slap myself when I realize whatever I've done wrong. ;)

--- End quote ---

There is an IEEE paper on that circuit you may study:

http://www.chaotic-circuits.com/wp-content/uploads/2016/06/Simple-Two-Transistor-Single-Supply-RC-Chaotic-Oscillator.pdf

--- End quote ---

Third time was the charm.  What was I doing wrong?  I didn't have a BC547C on hand, so I dug around in my parts bin and found a bag of vintage Motorola 2N2222.  Now I haven't used a BJT in a can for a long time, and I poked the thing into the bread board the wrong way around!  Doh!



Anyhow... This circuit is super sensitive!  Tiny changes in the value of R4 deliver completely different results.  Even things like temperature cause changes.  For the following movie I cooled down Q1 and captured the output as the transistor warmed up.



Obligatory breadboard shot:

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