thanks for your reply. The problem is, I like complicated patches!
For a compositional and performance point of view, the more points at which I can make interventions in the chaotic system, the better it is for me. Thus I've wanted to avoid a simple "chaos in a box" solution, with a limited number of parameters. That said, most likely I will order a set of PCBs from Bridechamber sometime soon and make one chaos module out of them, similar to the Buchla mockup that was posted earlier on this thread.
Otherwise, I was already looking at the x - x^3 circuit on your site as a good basic building block for the system.
"Phase plane drawings made with Kiers Chaos computer, tanh(x) nonlinearity."
"Schematic for Kiers Chaos Computer rev 0, designed by Jessica Rylan. (c) 2009"
"This analog xy plotter is from 1985. Voltage inputs control the movement of the pen, side to side and up and down. We used this in conjunction with the analog computers to make the phase plane drawings."
Joined: Dec 29, 2006 Posts: 1176 Location: australia
Audio files: 4
Posted: Sun Feb 21, 2010 6:28 pm Post subject:
they are beautiful images, worthy of framing?
I want a Plotamatic!!!
Your circuit looks like a development of Sprotts - from this paper
I worked on Sprott's circuit a couple of years ago and modded it for synth use. You can see it also has three integrator stages and the same NL feedback circuit! Tho no OTAs in mine, definitely would be an interesting addition. It included a switch to choose a linear feedback path so the circuit could also be used as a filter, pretty crappy filter tho. Your version with the OTAs would be much better.
Your circuit looks like a development of Sprotts - from this paper
Hi Andrew,
to be clear: the circuit is designed by Jessica Rylan, not me. I just co-hosted the workshop. And yes, she was in close communication with Sprott while she was working on it. I showed her Ian's circuit and she liked it as well, saying it was a lot easier to build!!! She uses this SSM2164 for everything these days, I also have a nice single-supply multi-mode filter that she designed.
The plotter pics are quite incredible, I really love the character of the lines in particular.
Joined: May 04, 2007 Posts: 1734 Location: NM USA
Audio files: 54
Posted: Mon Feb 22, 2010 9:07 am Post subject:
macumbista wrote:
andrewF wrote:
Your circuit looks like a development of Sprotts - from this paper
to be clear: the circuit is designed by Jessica Rylan, not me. I just co-hosted the workshop. And yes, she was in close communication with Sprott while she was working on it.
As far as I can see the circuit is basically the same as the familiar Sprott jerk system Andrew refered to. Kiers modified the system slightly by using a precision active rectifier to generate the ABS nonlinearity, and Jessica implemented the circuit using OTA-based integrators.
My own version of the Sprott system (from 2004) also uses precision rectifiers and OTAs. In addition, it has a second NL feedback path available. A big switch selects one of four modes of operation and each mode has adjustable parameters for the nonlinear response. Since each mode exhibits chaos over a relatively narrow range of parameters, the big switch also changes a number of resistors. With two nonlinearities I get some very interesting patterns, such as the quadruple scroll at my website. I've only scratched the surface of what this system can do.
Sprott's idea of using simple circuit elements for the nonlinearities -- as opposed to the more familiar polynomial systems -- was absolutely brilliant. I still have never used a multiplier chip for any of my chaos experiments!
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