Model { Name "vanderpol" Version 4.00 SampleTimeColors off LibraryLinkDisplay "none" WideLines off ShowLineDimensions off ShowPortDataTypes off ShowStorageClass off ExecutionOrder off RecordCoverage off CovPath "/" CovSaveName "covdata" CovMetricSettings "dw" CovNameIncrementing off CovHtmlReporting on BlockNameDataTip off BlockParametersDataTip off BlockDescriptionStringDataTip off ToolBar on StatusBar on BrowserShowLibraryLinks off BrowserLookUnderMasks off Created "Tue Jan 13 15:31:08 2004" UpdateHistory "UpdateHistoryNever" ModifiedByFormat "%" LastModifiedBy "Administrator" ModifiedDateFormat "%" LastModifiedDate "Tue Jan 13 15:31:15 2004" ModelVersionFormat "1.%" ConfigurationManager "None" SimParamPage "Solver" StartTime "0.0" StopTime "50" SolverMode "Auto" Solver "ode45" RelTol "1e-3" AbsTol "1e-3" Refine "1" MaxStep "0.01" MinStep "0.0001" MaxNumMinSteps "-1" InitialStep "auto" FixedStep "auto" MaxOrder 5 OutputOption "RefineOutputTimes" OutputTimes "[]" LoadExternalInput off ExternalInput "[t, u]" SaveTime off TimeSaveName "tout" SaveState off StateSaveName "xout" SaveOutput off OutputSaveName "yout" LoadInitialState off InitialState "xInitial" SaveFinalState off FinalStateName "xFinal" SaveFormat "Array" LimitDataPoints on MaxDataPoints "1000" Decimation "1" AlgebraicLoopMsg "warning" MinStepSizeMsg "warning" UnconnectedInputMsg "warning" UnconnectedOutputMsg "warning" UnconnectedLineMsg "warning" InheritedTsInSrcMsg "warning" SingleTaskRateTransMsg "none" MultiTaskRateTransMsg "error" IntegerOverflowMsg "warning" CheckForMatrixSingularity "none" UnnecessaryDatatypeConvMsg "none" Int32ToFloatConvMsg "warning" InvalidFcnCallConnMsg "error" SignalLabelMismatchMsg "none" LinearizationMsg "none" VectorMatrixConversionMsg "none" SfunCompatibilityCheckMsg "none" BlockPriorityViolationMsg "warning" ArrayBoundsChecking "none" ConsistencyChecking "none" ZeroCross on Profile off SimulationMode "normal" RTWSystemTargetFile "grt.tlc" RTWInlineParameters off RTWRetainRTWFile off RTWTemplateMakefile "grt_default_tmf" RTWMakeCommand "make_rtw" RTWGenerateCodeOnly off TLCProfiler off TLCDebug off TLCCoverage off AccelSystemTargetFile "accel.tlc" AccelTemplateMakefile "accel_default_tmf" AccelMakeCommand "make_rtw" TryForcingSFcnDF off ExtModeMexFile "ext_comm" ExtModeBatchMode off ExtModeTrigType "manual" ExtModeTrigMode "normal" ExtModeTrigPort "1" ExtModeTrigElement "any" ExtModeTrigDuration 1000 ExtModeTrigHoldOff 0 ExtModeTrigDelay 0 ExtModeTrigDirection "rising" ExtModeTrigLevel 0 ExtModeArchiveMode "off" ExtModeAutoIncOneShot off ExtModeIncDirWhenArm off ExtModeAddSuffixToVar off ExtModeWriteAllDataToWs off ExtModeArmWhenConnect on ExtModeSkipDownloadWhenConnect off ExtModeLogAll on ExtModeAutoUpdateStatusClock on OptimizeBlockIOStorage on BufferReuse on ParameterPooling on BlockReductionOpt on RTWExpressionDepthLimit 5 BooleanDataType off BlockDefaults { Orientation "right" ForegroundColor "black" BackgroundColor "white" DropShadow off NamePlacement "normal" FontName "Helvetica" FontSize 10 FontWeight "normal" FontAngle "normal" ShowName on } AnnotationDefaults { HorizontalAlignment "center" VerticalAlignment "middle" ForegroundColor "black" BackgroundColor "white" DropShadow off FontName "Helvetica" FontSize 10 FontWeight "normal" FontAngle "normal" } LineDefaults { FontName "Helvetica" FontSize 9 FontWeight "normal" FontAngle "normal" } System { Name "vanderpol" Location [40, 106, 937, 662] Open on ModelBrowserVisibility off ModelBrowserWidth 200 ScreenColor "automatic" PaperOrientation "landscape" PaperPositionMode "auto" PaperType "A4" PaperUnits "centimeters" ZoomFactor "100" ReportName "simulink-default.rpt" Block { BlockType Fcn Name "(1-x1^2)" Position [245, 277, 315, 303] Expr "1 - u ^2" } Block { BlockType Sum Name "Diff" Ports [2, 1] Position [425, 269, 445, 316] ShowName off IconShape "rectangular" Inputs "+-" SaturateOnIntegerOverflow on } Block { BlockType ToWorkspace Name "To Workspace" Position [685, 237, 735, 253] ShowName off VariableName "x1" MaxDataPoints "10000" Decimation "1" SampleTime "0" SaveFormat "Array" } Block { BlockType ToWorkspace Name "To Workspace1" Position [685, 202, 735, 218] ShowName off VariableName "x2" MaxDataPoints "10000" Decimation "1" SampleTime "0" SaveFormat "Array" } Block { BlockType SubSystem Name "XY Graph" Ports [2] Position [255, 171, 285, 209] Orientation "left" ShowPortLabels off TreatAsAtomicUnit off RTWSystemCode "Auto" RTWFcnNameOpts "Auto" RTWFileNameOpts "Auto" MaskType "XY scope." MaskDescription "XY scope using MATLAB graph window.\nFirst inpu" "t is used as time base.\nEnter plotting ranges." MaskHelp "This block can be used to explore limit cycles." " Look at the m-file sfunxy.m to see how it works." MaskPromptString "x-min:|x-max:|y-min:|y-max:" MaskStyleString "edit,edit,edit,edit" MaskTunableValueString "on,on,on,on" MaskCallbackString "|||" MaskEnableString "on,on,on,on" MaskVisibilityString "on,on,on,on" MaskToolTipString "on,on,on,on" MaskInitialization "ax = [@1, @2, @3, @4];st=-1;" MaskDisplay "plot(0,0,100,100,[12,91,91,12,12],[90,90,45,45," "90],[51,57,65,75,80,79,75,67,60,54,51,48,42,34,28,27,31,42,51],[71,68,66,66,7" "2,79,83,84,81,77,71,60,54,54,58,65,71,74,71])" MaskIconFrame on MaskIconOpaque on MaskIconRotate "none" MaskIconUnits "autoscale" MaskValueString "-4|4|-4|4" MaskVariableAliases ",,," System { Name "XY Graph" Location [8, 52, 282, 245] Open off ModelBrowserVisibility off ModelBrowserWidth 200 ScreenColor "automatic" PaperOrientation "landscape" PaperPositionMode "auto" PaperType "A4" PaperUnits "centimeters" ZoomFactor "100" Block { BlockType Inport Name "x" Position [10, 30, 30, 50] Port "1" LatchInput off Interpolate on } Block { BlockType Inport Name "y" Position [10, 100, 30, 120] Port "2" LatchInput off Interpolate on } Block { BlockType Mux Name "Mux" Ports [2, 1] Position [100, 61, 130, 94] Inputs "2" DisplayOption "none" } Block { BlockType "S-Function" Name "S-function\nM-file which plots\nlines\n" Ports [1, 1] Position [185, 70, 235, 90] FunctionName "sfunxy" Parameters "ax, st" PortCounts "[]" SFunctionModules "''" } Line { SrcBlock "y" SrcPort 1 Points [35, 0; 0, -25] DstBlock "Mux" DstPort 2 } Line { SrcBlock "x" SrcPort 1 Points [35, 0; 0, 30] DstBlock "Mux" DstPort 1 } Line { SrcBlock "Mux" SrcPort 1 DstBlock "S-function\nM-file which plots\nlines\n" DstPort 1 } } } Block { BlockType Integrator Name "int x1" Ports [1, 1] Position [475, 277, 520, 313] ShowName off ExternalReset "none" InitialConditionSource "internal" InitialCondition ".01" LimitOutput off UpperSaturationLimit "inf" LowerSaturationLimit "-inf" ShowSaturationPort off ShowStatePort off AbsoluteTolerance "auto" } Block { BlockType Integrator Name "int x2" Ports [1, 1] Position [565, 277, 610, 313] ShowName off ExternalReset "none" InitialConditionSource "internal" InitialCondition ".01" LimitOutput off UpperSaturationLimit "inf" LowerSaturationLimit "-inf" ShowSaturationPort off ShowStatePort off AbsoluteTolerance "auto" } Block { BlockType Product Name "prod" Ports [2, 1] Position [345, 259, 365, 301] ShowName off Inputs "2" Multiplication "Element-wise(.*)" SaturateOnIntegerOverflow on } Line { SrcBlock "int x2" SrcPort 1 Points [15, 0] Branch { Points [0, 95] Branch { Points [0, 40; -405, 0; 0, -140] DstBlock "(1-x1^2)" DstPort 1 } Branch { Points [-235, 0; 0, -85] DstBlock "Diff" DstPort 2 } } Branch { Points [0, -50] Branch { Points [0, -65] DstBlock "XY Graph" DstPort 1 } Branch { DstBlock "To Workspace" DstPort 1 } } } Line { SrcBlock "int x1" SrcPort 1 Points [15, 0] Branch { DstBlock "int x2" DstPort 1 } Branch { Points [0, -85] Branch { Points [0, -10; -210, 0] Branch { DstBlock "prod" DstPort 1 } Branch { DstBlock "XY Graph" DstPort 2 } } Branch { DstBlock "To Workspace1" DstPort 1 } } } Line { SrcBlock "Diff" SrcPort 1 DstBlock "int x1" DstPort 1 } Line { SrcBlock "(1-x1^2)" SrcPort 1 DstBlock "prod" DstPort 2 } Line { SrcBlock "prod" SrcPort 1 DstBlock "Diff" DstPort 1 } Annotation { Position [552, 277] VerticalAlignment "top" Text "x2" } Annotation { Position [622, 277] VerticalAlignment "top" Text "x1" } Annotation { Position [442, 467] VerticalAlignment "top" Text "oscillatore di Van der Pol:\nl'origine e' un pd" "e instabile ma non divergente\ntutte le traiettorie convergono ad un ciclo li" "mite che circonda\nl'origine ma si trova a distanza finita da essa" } } }