[sdiy] VC Chaos

[Ian Fritz]

At 02:26 PM 11/29/2004, ASSI wrote:

>I'm even hesitant to call it noise, at least not in the usual
>statistical sense.

Of course -- that's why I put quotes around it.  In the common sense 
meaning, the hissy sound you hear with a flute is called noise.  But it 
actually comes from turbulence in the air stream, which is a chaotic 
phenomenon.

>BTW, introducing a nonlinearity into the feedback path of a resonant
>filter should also creates chaos. Quadratic is said to be enough, but
>I've not tried that yet, unfortunately. This topology would be very
>similar to the cascaded integrator setup you are using.

Yes, in general a driven, damped, second-order, nonlinear resonator has 
chaotic solutions.  So a driven pendulum, a driven filter with the right 
kind of nonlinear element, a driven Chua circuit, or anything similar will 
be chaotic for appropriate parameters.

For autonomous chaos, a third-order system is required.  (In other words, 
three degrees of freedom, total, are required for chaos.)

   Ian