How does this equation differ from Van der Pol $-$ Duffing oscillator discussed in the class? Use

method of averaging$/$harmonic balance$/$multiple time scales to find harmonic responses. Plot amplitude of harmonic responses with frequency f$.$ Can jump phenomenon occur in this system? Can limit cycles occur in this system? List routes to chaos that are observed in this system? Show them with numerical simulations. Select suitable parameter values of your choice.

mddot x$=-$kx$-$ydot x$-$ alpha x$^3-$nx$^2$ dot x $+$ F drive cos $(2*$pie $*$f$*$t$)$