Ellner S.P., Guckenheimer J. An Introduction to Matlab for Dynamic Modeling (Cornell University, 2006)(en)(45s)

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1、CONTENTS1AnintroductiontoMatlabfordynamicmodelingLastcompile:May4,2006StephenP.Ellner1andJohnGuckenheimer21DepartmentofEcologyandEvolutionaryBiology,and2DepartmentofMathematicsCornellUniversityContents1Interactivecalculations32Aninteractivesession:linearregression63M-lesandda

2、tales94Vectors115Matrices146Iteration(Looping")177Branching218Matrixcomputations238.1Eigenvaluesensitivitiesandelasticities........................259Creatingnewfunctions269.1Simplefunctions....................................279.2Functionswithmultipleargumentsorreturns.....

3、...............2710Asimulationproject2911CointossingandMarkovChains3112TheHodgkin-Huxleymodel3512.1Gettingstarted.....................................37CONTENTS213Solvingsystemsofdierentialequations4014Equilibriumpointsandlinearization4415Phase-planeanalysisandtheMorris-Lecar

4、model4616SimulatingDiscrete-EventModels4817Simulatingdynamicsinsystemswithspatialpatterns51IntroductionThesenotesforcomputerlabsaccompanyourtextbookDynamicModelsinBiology(PrincetonUniversityPress2006).TheyarebasedinpartoncoursematerialsbyformerTAsColleenWebb,JonathanRowellandD

5、anielFinkatCornell,ProfessorsLouGross(UniversityofTennessee)andPaulFackler(NCStateUniversity),andonthebookGettingStartedwithMatlabbyRudraPratap(OxfordUniversityPress).Sofarasweknow,theexerciseshereandinthetextbookcanallbedoneusingtheStudentEditionofMatlab,oraregularbaselicense

6、withoutadditionalToolboxes.Sections1-7areageneralintroductiontothebasicsoftheMatlablanguage,whichwegenerallycoverin2or3labsessions,dependingonhowmuchpreviousMatlabexperiencestudentshavehad.Thesecontainmanysamplecalculations.Itisimportanttodotheseyourselves{typetheminatyourkeyb

7、oardandseewhathappensonyourscreen{togetthefeelofworkinginMatlab.Exercisesinthemiddleofasectionshouldbedoneimmediatelywhenyougettothem,andmakesurethatyouhavethemrightbeforemovingon.Exercisesattheendsofthesesectionsareoftenmorechallengingandmoreappropriateashomeworkexercises.The

8、subsequentsectionsarelinkedtoourtextbook,infairlyobviousways.