m$\_(1),$l$\_(1)\{$:$($m$\_(2),$l$\_(2)))$ m$\_($d$),$ radius r M$($t$)=$M$\_(0)$sin$(\backslash$omega t$)$

Even for this seemingly simple system, as the energy

increases the motion can become chaotic, so that the

system response is apparently random even though the

underlying physics is completely deterministic.

With the system parameters assumed to be

m$\_(1)=$m$\_(2)=10$kg$,$l$\_(1)=$l$\_(2)=0\mathrm{.}50$m$,$m$\_($d$)=2$kg$,$r$=0\mathrm{.}15$m

a$\backslash$theta $\_(1)^()$ and $\backslash$theta $\_(2)^($