Home > Uncategorized > Knots on a Donut (Doughnut)

Knots on a Donut (Doughnut)

Professor Strogatz lecture on quasiperiodicity motivates this post. Just using the simple system:

 \dot{\theta_1}=\omega_1\\\\  \dot{\theta_2}=\omega_2
when \omega_1/\omega_2 is rational the trajectory is closed, when irrational quasiperiodic. In the following the first gif is \omega_1=2,\omega_2=3 and the second: \omega_1=\sqrt{2},\omega_2=2

msetrefolimsequasiperiod

 

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