Incommensurate harmonic-oscillator orbit
= Incommensurate harmonic-oscillator orbit
For two uncoupled <harmonic oscillators> with nonzero amplitudes and irrational frequency ratio $\omega_1/\omega_2$, the orbit is bounded but not <periodic orbit>[periodic]. It winds quasiperiodically on a two-dimensional <invariant torus>; a common period would force the frequency ratio to be rational.