Duffing Forced Damped Harmonic Oscillator

Clear[x]
duffing = x''[t] + 2*g*x'[t] + x[t] + x[t]^3 - f*Cos[w*t]
                                3
-(f Cos[t w]) + x[t] + x[t] + 2 g x'[t] + x''[t]

ans = NDSolve[{duffing ==0/.{g->1/10,f->20,w->1.45},x[0]==0,x'[0]==4},x,{t,0,200},MaxSteps->3000]
NDSolve::mxst: Maximum number of 3000 steps reached at the point t == 82.0993.
     {{x -> InterpolatingFunction[{{0., 82.0993}}, <>]}}

Plot[x[t]/.ans,{t,0,60}];
[Graphics:Duffinggr2.gif][Graphics:Duffinggr1.gif]

x = x[t]/.ans
v = D[x[t]/.ans, t]
     {InterpolatingFunction[{{0., 82.0993}}, <>][t]}
     {InterpolatingFunction[{{0., 82.0993}}, <>][t]}

Plot[x,{t,0,60}];
[Graphics:Duffinggr2.gif][Graphics:Duffinggr3.gif]

Plot[v,{t,0,60}];
[Graphics:Duffinggr2.gif][Graphics:Duffinggr4.gif]

ParametricPlot[{x[[1]],v[[1]]}, {t,0,60}];
[Graphics:Duffinggr2.gif][Graphics:Duffinggr5.gif]