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1000; $CellContext`pts$$ = 2000]], Manipulate`Dump`ThisIsNotAControl}, { Hold[ Button[ "detail", $CellContext`n$$ = 2000; $CellContext`pts$$ = 4000]], Manipulate`Dump`ThisIsNotAControl}}, Typeset`size$$ = { 511., {216., 221.}}, Typeset`update$$ = 0, Typeset`initDone$$, Typeset`skipInitDone$$ = False, $CellContext`a$2003$$ = {0, 0}, $CellContext`magH$2004$$ = 0, $CellContext`magV$2005$$ = 0}, DynamicBox[Manipulate`ManipulateBoxes[ 1, StandardForm, "Variables" :> {$CellContext`a$$ = {0.85, 0.5}, $CellContext`magH$$ = 0.26667, $CellContext`magV$$ = 1, $CellContext`n$$ = 1000, $CellContext`pts$$ = 2000}, "ControllerVariables" :> { Hold[$CellContext`a$$, $CellContext`a$2003$$, {0, 0}], Hold[$CellContext`magH$$, $CellContext`magH$2004$$, 0], Hold[$CellContext`magV$$, $CellContext`magV$2005$$, 0]}, "OtherVariables" :> { Typeset`show$$, Typeset`bookmarkList$$, Typeset`bookmarkMode$$, Typeset`animator$$, Typeset`animvar$$, Typeset`name$$, Typeset`specs$$, Typeset`size$$, Typeset`update$$, Typeset`initDone$$, Typeset`skipInitDone$$}, "Body" :> Module[{$CellContext`rg1$, $CellContext`rg2$}, Column[{ Quiet[ ListPlot[ Flatten[ Map[$CellContext`logisticMapOrbitCF[#, $CellContext`n$$]& \ , Range[ Part[$CellContext`a$$, 1] - 0.04/$CellContext`magH$$, Min[ 1, Part[$CellContext`a$$, 1] + 0.04/$CellContext`magH$$], ( ControlActive[ 0.6, 0.15]/$CellContext`magH$$)/$CellContext`pts$$]], 1], PlotStyle -> { RGBColor[0.25, 0.43, 0.82], AbsolutePointSize[1]}, PlotLabel -> Style["Bifurcation Diagram", 9], PlotRange -> {{ Part[$CellContext`a$$, 1] - 0.04/$CellContext`magH$$, Part[$CellContext`a$$, 1] + 0.04/$CellContext`magH$$}, { Part[$CellContext`a$$, 2] - 0.52/$CellContext`magV$$, Part[$CellContext`a$$, 2] + 0.5/$CellContext`magV$$}}, AxesOrigin -> { Part[$CellContext`a$$, 1] - 0.04/$CellContext`magH$$, Automatic}, ImagePadding -> {{15, 12}, {20, 6}}, AspectRatio -> 0.65, ImageSize -> 500]], Quiet[ ListPlot[ Map[{#, $CellContext`lyapListCF[#, $CellContext`n$$]}& , Range[ Part[$CellContext`a$$, 1] - 0.04/$CellContext`magH$$, Min[ 1, Part[$CellContext`a$$, 1] + 0.04/$CellContext`magH$$], ( ControlActive[ 0.6, 0.15]/$CellContext`magH$$)/$CellContext`pts$$]], PlotLabel -> Style["Lyapunov Exponent", 9], Joined -> True, PlotStyle -> RGBColor[0.49, 0, 0], PlotRange -> {{ Part[$CellContext`a$$, 1] - 0.04/$CellContext`magH$$, Part[$CellContext`a$$, 1] + Min[1, 0.04/$CellContext`magH$$]}, Full}, AxesOrigin -> { Part[$CellContext`a$$, 1] - 0.04/$CellContext`magH$$, 0}, Ticks -> {Automatic, {0}}, ImagePadding -> {{16, 12}, {12, 0}}, AspectRatio -> 0.14, ImageSize -> 500]]}, Spacings -> 0, Frame -> True]], "Specifications" :> {{{$CellContext`a$$, {0.85, 0.5}}, { 0.7, 0}, {1, 1}, ControlType -> Locator, Appearance -> Style["(+)", RGBColor[0.49, 0.49, 0], Bold, 18]}, Style["zoom", Bold], "horizontal", {{$CellContext`magH$$, 0.26667, ""}, 0.1, 10, 0.1, ControlType -> VerticalSlider, ImageSize -> Small}, Delimiter, "vertical", {{$CellContext`magV$$, 1, ""}, 0.1, 10, 0.1, ControlType -> VerticalSlider, ImageSize -> Small}, Delimiter, {{$CellContext`n$$, 1000, "number of iterates"}, ControlType -> None}, {{$CellContext`pts$$, 2000, "number of \[Lambda] values"}, ControlType -> None}, Button[ "reset", $CellContext`a$$ = {0.85, 0.5}; $CellContext`magH$$ = 0.26667; $CellContext`magV$$ = 1; $CellContext`n$$ = 1000; $CellContext`pts$$ = 2000], Button[ "detail", $CellContext`n$$ = 2000; $CellContext`pts$$ = 4000]}, "Options" :> { ControlPlacement -> Left, AutorunSequencing -> {{1, 10}, {2, 5}, {3, 5}}, TrackedSymbols :> {$CellContext`a$$, $CellContext`magH$$, \ $CellContext`magV$$, $CellContext`n$$, $CellContext`pts$$}}, "DefaultOptions" :> {ControllerLinking -> True}], ImageSizeCache->{634., {249., 254.}}, SingleEvaluation->True], Deinitialization:>None, DynamicModuleValues:>{}, Initialization:>(($CellContext`logisticMapOrbitCF = Compile[{{$CellContext`\[Lambda], Blank[Real]}, {$CellContext`n$$, Blank[Integer]}}, Map[{$CellContext`\[Lambda], #}& , Take[ NestList[((4. $CellContext`\[Lambda]) #) ( 1. - #)& , $CellContext`\[Lambda], $CellContext`n$$], \ -24]]]; $CellContext`lyapListCF = Compile[{{$CellContext`\[Lambda], Blank[Real]}, {$CellContext`n$$, Blank[Integer]}}, Mean[ Map[Log[ Abs[(4. $CellContext`\[Lambda]) (1. - 2 #)]]& , NestList[((4. $CellContext`\[Lambda]) #) ( 1. - #)& , $CellContext`\[Lambda], $CellContext`n$$]]]]); Typeset`initDone$$ = True), SynchronousInitialization->True, UnsavedVariables:>{Typeset`initDone$$}, UntrackedVariables:>{Typeset`size$$}], "Manipulate", Deployed->True, StripOnInput->False], Manipulate`InterpretManipulate[1]]], "Output", CellGroupingRules->{"GroupTogetherGrouping", 10000.}, CellChangeTimes->{3.759801467189516*^9}, CellID->697309049] }, {2}]]