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{SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 200 "vdot := (theta,v) -
> -sin(theta) - R*v^2;\nthetadot := (theta,v) -> (v^2 - cos(theta))/v;
\n\nGliderEQ := \{ diff(theta(t),t) = thetadot(theta(t),v(t)), \n     \+
         diff(v(t),t) = vdot(theta(t),v(t)) \};" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%%vdotGR6$%&thetaG%\"vG6\"6$%)operatorG%&arrowGF),&-%$
sinG6#9$!\"\"*&%\"RG\"\"\")9%\"\"#\"\"\"F2F)F)F)" }}{PARA 11 "" 1 "" 
{XPPMATH 20 "6#>%)thetadotGR6$%&thetaG%\"vG6\"6$%)operatorG%&arrowGF)*
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" 1 "" {XPPMATH 20 "6#>%)GliderEQG<$/-%%diffG6$-%&thetaG6#%\"tGF-*&,&*
$)-%\"vGF,\"\"#\"\"\"\"\"\"-%$cosG6#F*!\"\"F5F2!\"\"/-F(6$F2F-,&-%$sin
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h(DEtools): with(linalg):" }}{PARA 7 "" 1 "" {TEXT -1 35 "Warning, new
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efinition for adjoint" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 58 "so
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" 1 "" {XPPMATH 20 "6#7$-%'arctanG6$,$*&%\"RG\"\"\"-%%sqrtG6#*&\"\"\"F
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{PARA 0 "> " 0 "" {MPLTEXT 1 0 51 "FixedPt := unapply (subs(FixedSols,
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{PARA 0 "> " 0 "" {MPLTEXT 1 0 0 "" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#
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ixedSols));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"JG-%'matrixG6#7$7$,
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11 "" 1 "" {XPPMATH 20 "6$,$*&,&*&%\"RG\"\"\"-%%sqrtG6#,&*$)F'\"\"#\"
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"" 0 "" {TEXT -1 39 "will have complex eigenvalues whenever " }
{XPPEDIT 18 0 "R^4-7*R^2-8;" "6#,(*$%\"RG\"\"%\"\"\"*&\"\"(F'*$F%\"\"#
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{MPLTEXT 1 0 0 "" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 23 "solve(R
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