ss1 = NDSolve[{x'[
t]x'[t] == (1 - (x[t]^2 + y[t]^2))*x[t] + \[Omega][t]*y[t]ω[t]*y[t] +
1.3*Sin[11*t],
y'[t] == (1 - (x[t]^2 + y[t]^2))*y[t] - \[Omega][t]*ω[t]*x[t],
x[t], \[Omega]'[t] ==
ω'[t] == 1.3*Sin[11*t]*y[t]/(Sqrt[x[t]^2 + y[t]^2]),
x[0] == 1,
y[0] == 0, \[Omega][0]ω[0] == 2}, {x, y, \[Omega]ω}, {t, 0, 200*Pi}];
Animate[Show[Animate[
ParametricPlot[Evaluate[ Show[
ParametricPlot[
Evaluate[{x[t], y[t]} /. ss1], {t, tmax - 1, tmax},
PlotStyle -> {Thick, Green}, PlotRange -> 1.4, AspectRatio -> 1,
PerformanceGoal -> "Quality"]"Quality"
],
Graphics[{PointSize[.03], Red, Point@{x[tmax], y[tmax]} /. ss1},
PlotRange -> 1.4],
ParametricPlot[Evaluate[ ParametricPlot[
Evaluate[{x[t], y[t]} /. ss1], {t, 626, 200*Pi},
PlotRange -> 1.2, PlotStyle -> {Thick, Orange},
ImageSize -> Medium, Frame -> True,
FrameLabel -> {{Style["V", Bold], None}, {Style["X", Bold],
None}}]]
]
],
{tmax, 1, 200*Pi}, DefaultDuration -> 200 \[Pi]π,
AnimationRate -> 0.03]03
]
I would like to export my animation as the gifsa GIF (a good visualization for presentation), while. I tried a lot of different ways of making it work, but unfortunately I could not make it. any help from anyone will be very grateful.