Rotating cylinder with independently rotating top

Marginal stability curves:

L=0.3, 0.3<S<1.5

L=0.5, 0.3<S<1.5, zooms: L=0.5, 0.4<S<0.7 and L=0.7, 0.3<S<1.5

L=0.56, 0.4<S<1.5

 

Frequencies at marginal stability points:

L=0.3, 0.3<S<1.5

L=0.5, 0.3<S<1.5

L=0.56, 0.4<S<1.5

 

Tangent Double Hopf bifurcation at L=0.56

zoomed