系统动力学全英文版 期末考试汇总文档格式.docx
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1)Systemsthinking2)Personalmastery3)Mentalmodels
4)Buildingsharedvision5)Teamlearning
2.ThedefinitionofMentalModels
Mentalmodelsaretheimages(attitudesandassumptions)wecarryinourmindsaboutourselves,otherpeople,institutions,andeveryaspectoftheworldwhichguideourinterpretationsandbehavior.
3.ButterflyEffect
Thebutterflyeffectisthesensitivedependenceoninitialconditionsinwhichasmallchangeatoneplaceinadeterministicnonlinearsystemcanresultinlargedifferencesinalaterstate.
Chapter2:
SystemsandSystemThinking
1.Modelingconcepts
Amodelisanabstractionofarealobjectorsystem.
2.Systemdefinition
Asystemisasetoftwoormoreelementsthatsatisfiesthefollowingthreeconditions:
✧Itfulfillsacertainfunction
✧Thebehaviorofeachelementhasaneffectonthebehaviorofthewhole
✧Thebehavioroftheelementsandtheireffectsonthewholeareinterdependent
Thebehaviorofasystemdependsnotonlyonthebehaviorofthecomponentsofasystembutalsoonhowthesecomponentsinteract.
3.Systemcomponents
1)Objects2)States3)Events4)Time5)Space6)Structure
4.“Complexsystems”aresystemsinwhichtherearemultipleinteractionsbetweenmanydifferentcomponents(oragents).Acomplexsystemischaracterizedbymultipleagentswhoseinteractionsgiverisetostructuraleffectsthataren’tapparentintheagentsthemselves.
Chapter4:
StructureandBehaviorofDynamicSystems
4.1Fundamentalmodesofdynamicbehavior
Fundamentalmodesofdynamicbehavior
Themostfundamentalmodesofbehaviorareexponentialgrowth,goalseeking,andoscillation.Eachoftheseisgeneratedbyasimplefeedbackstructure:
-Exponentialgrowtharisesfrompositivefeedback
-Goalseekingarisesfromnegativefeedback
-Oscillationarisesfromnegativefeedbackwithtimedelaysintheloop.
Othercommonmodesofbehavior,includingS-shapedgrowth,S-shapedgrowthwithovershootandoscillation,andovershootandcollapse,arisefromnonlinearinteractionsofthefundamentalfeedbackstructures.
4.1.1ExponentialGrowth
Exponentialgrowtharisesfrompositive(self-reinforcing)feedback.Thelargerthequantity,thegreateritsnetincrease,furtheraugmentingthequantityandleadingtoever-fastergrowth.
Pureexponentialgrowthhastheremarkablepropertythatthedoublingtimeisconstant:
thestateofthesystemdoublesinafixedperiodoftime,nomatterhowlarge.
WhenaRateIsNotaRate
Indynamicmodeling,theterm"
rate"
generallyreferstotheabsoluterateofchangeinaquantity.Theterm"
birthrate"
herereferstothenumberofpeoplebornpertimeperiod.Often,however,theterm"
isusedasshorthandforthefractionalrateofchangeofavariable.Forexample,thebirthrateisofteninterpretedasthenumberofbirthsperyearperthousandpeople.Similarly,wecommonlyspeakoftheunemploymentrate.Theword"
inthesecasesactuallymeans"
ratio"
:
theunemploymentrateistheratioofthenumberofunemployedworkerstothelaborforce
✧Theunitsofmeasureforratesofflowareunits/timeperiod.
✧Theunitsofmeasureforfractionalratesofflowareunitsperunitpertimeperiod=1/timeperiods.
4.1.2GoalSeeking
Negativeloopsseekbalance,equilibrium,andstasis.Negativefeedbackloopsacttobringthestateofthesysteminlinewithagoalordesiredstate.
Whentherelationshipbetweenthesizeofthegapandthecorrectiveactionislinear,therateofadjustmentisexactlyproportionaltothesizeofthegapandtheresultinggoal-seekingbehaviorisexponentialdecay.Asthegapfalls,sotoodoestheadjustmentrate.
Everynegativeloopincludesaprocesstocomparethedesiredandactualconditionsandtakecorrectiveaction.
4.1.3Oscillation
Oscillationisthethirdfundamentalmodeofbehaviorobservedindynamicsystems.Likegoal-seekingbehavior,oscillationsarecausedbynegativefeedbackloops.
Inanoscillatorysystem,thestateofthesystemconstantlyovershootsitsgoalorequilibriumstate,reverses,thenundershoots,andsoon.
Theovershootingarisesfromthepresenceofsignificanttimedelaysinthenegativeloop.Thetimedelayscausecorrectiveactionstocontinueevenafterthestateofthesystemreachesitsgoal,forcingthesystemtoadjusttoomuch,andtriggeringanewcorrectionintheoppositedirection
Oscillationsareamongthemostcommonmodesofbehaviorindynamicsystems.
DampedoscillationsLimitcyclesChaos
Oscillationscanariseifthereisasignificantdelayinanypartofthenegativeloop.
Perceivingthestateofthesystemcausedbythemeasurementandreportingsystem
Initiatingcorrectiveactionsafterthediscrepancyisperceivedduetothetimerequiredtor