The Van der Pol Oscillator

[@MsBarsh]

For small eps you can easily go to polar coordinates (rho, phi) and then average slow rho by fast phi, obtaining 1st order autonomous ODE for rho.

Great video thansk for sharing. At 5:31 u0 is a function of only t for this problem, why we impose boundary condition for tau at uo in O(1)? In my opinion there is a typo mistakes in the generic form of perturbations. u0(x,t,tau) should be there.

[@jimlbeaver]

Great stuff. I am really curious how (or if) this turns into the multiscale decompositions using wavelets or DMD. I didn't really get the insight as to WHY the multiscale has this affect like I did when you showed the frequency shift and harmonics. I'll re-watch and check the notes. Again, great job. Thanks.

[@hoda9251]

Great video! however, I think there is a typo when expanding the forcing terms and after doing long trigonometry expansions in 8:55. there is a cos(t)^3 missing after the (3A^2B-B^3). just a note if you are doing the calculations so you are aware of it.

[@hoda9251]

8:47 you need to flip the signs inside the parenthesis of cos(3t)

[@alemora2831]

i dont understand why you must not consider the sin, and cos term. What does it happend if you do not do it zero?

[@mathiasdam9561]

i didn't understand anything

[@togrulismayilov8886]

me too