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: $\omega_1=\sqrt{2},\omega_2=2$