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Notebook[{

Cell[CellGroupData[{
Cell["Poincare Sections for the Forced Damped Pendulum", "Section"],

Cell["Differential equation with parameters beta, Ahat,  and omega", \
"Subsection"],

Cell[CellGroupData[{

Cell[BoxData[{\(Clear[x, t, beta, Ahat, 
      omega]\), "\[IndentingNewLine]", \(omega = 
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Cell["\<\
System of differential equations, initial conditions, period, and number of \
periods for the trajectory\
\>", "Subsection"],

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Cell["\<\
Solve the system of differential equations numerically for Np periods of the \
driving force,
saving the trajectory and the endpoint for each period\
\>", "Subsection"],

Cell[CellGroupData[{

Cell[BoxData[{
    \(trajectorylist\  = \ {}\), "\[IndentingNewLine]", 
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      initialxdot = xdot[0] == xdotstart; \n
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            initialxdot}, {xdot[t], x[t]}, {t, 0, 
            period}]; \[IndentingNewLine]trajectory[
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          PlotStyle \[Rule] {{Red, Thickness[0.005]}}, 
          DisplayFunction \[Rule] 
            Identity]; \[IndentingNewLine]trajectorylist = 
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        trajectory[period]; \n
      sectionlist\  = 
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Cell["Plot the trajectory and the Poincare section", "Subsection"],

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Mistroke
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Mistroke
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Mfstroke
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Mistroke
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Mistroke
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Mistroke
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Mfstroke
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.56345 .16338 L
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.51455 .16054 L
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Mistroke
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Mistroke
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Mistroke
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.331 .25997 L
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Mistroke
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Mfstroke
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.34142 .36925 L
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.4945 .42181 L
.4957 .4218 L
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Mistroke
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Mistroke
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Mistroke
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Mfstroke
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Mistroke
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.389 .24759 L
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.396 .37248 L
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Mistroke
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.49 .39443 L
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Mistroke
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