[sdiy] Hopf bifurcation VCOs

[Ian Fritz]

Romeo --

>Is it anything like Joerg Schmitz's Feigenbaum thingy?  The math looks
>different... but then again, I'm almost math-blind.

It is related to JS's work on implementing the logistic map, in the sense 
of involving solutions of higher-order or coupled, nonlinear differential 
equations.

The logistics map is a third order system and can therefore exhibit chaotic 
behavior.  It is described by a mapping involving a time delay, but there 
is a correspondence to a continuous system known as the Rossler attractor.

My quadrature oscillator is a second order system and therefore cannot 
exhibit chaos.  But if it is extended to three coupled integrators then it 
can.  In fact with appropriate coupling constants it can generate orbits 
that look just about the same as the Rossler attractor.  I put some of 
those up when I had a temporary page describing my first chaos generator.

So that's the connection.  :-)

   Ian