On Monday 30 April 2012 19:09:45 andy pugh wrote:
> I am trying to write a super-simple jerk-limited motion planner for a
> very simple application.
> Looking for equations of motion I found:
> http://sprott.physics.wisc.edu/pubs/paper229.pdf
Nice paper. It refreshes my knowledge.

> Which seems to suggest a risk of chaotic motion once the equations
> become third-order.
I assume, you are working in 3D (xyz), so deterministic chaos is possible!

> However, I think the chaos in my motion planner at the moment comes
> from less esoteric sources, such as me over-simplifying.
To measure your chaos I point you to:
Grassberger, Procaccia:
"Estimation of Kolmogorov entropy from a chaotic signal"
Phy. Rev. A 28,4 Page 2591, 1983
additional to reference 19.

But maybe you let us know which equation of motion
you are using? 

Joachim 

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