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1、StephenLynchDynamicalSystemswithApplicationsusingMathematicaRBirkhauser¨Boston•Basel•BerlinStephenLynchDepartmentofComputingandMathematicsManchesterMetropolitanUniversityManchesterM15GDUnitedKingdoms.lynch@mmu.ac.ukhttp://www.docm.mmu.ac.uk/STAFF/S.Lynch
2、CoverdesignbyJosephSherman,Hamden,CT.MathematicsSubjectClassification(2000):34Axx.34Cxx,34Dxx,37Exx,37Gxx,58F10,58F14,58F21,78A25,78A60,78A97,92Bxx,92Exx,93Bxx,93Cxx,93DxxLibraryofCongressControlNumber:2007931708ISBN-13:978-0-8176-4482-6e-ISBN-13:978-0-817
3、6-4586-1Printedonacid-freepaper.c2007BirkhauserBoston¨Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthewrit-tenpermissionofthepublisher(BirkhauserBoston,c/oSpringerScience¨+BusinessMediaLLC,233SpringStreet,NewYork,NY10013,USA)
4、,exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodologynowknownorhereafterde-velopedisforbidden.Theuseinthispubli
5、cationoftradenames,trademarks,servicemarksandsimilarterms,eveniftheyarenotidentifiedassuch,isnottobetakenasanexpressionofopinionastowhetherornottheyaresubjecttoproprietaryrights.987654321www.birkhauser.com(JLS/MP)ContentsPrefacexi0ATutorialIntroductiontoMa
6、thematica10.1AQuickTourofMathematica...................20.2TutorialOne:TheBasics(OneHour)...............40.3TutorialTwo:PlotsandDifferentialEquations(OneHour)...60.4TheManipulateCommandandSimpleMathematicaPrograms.80.5HintsforProgramming..................
7、....110.6MathematicaExercises......................121DifferentialEquations171.1SimpleDifferentialEquationsandApplications.........181.2ApplicationstoChemicalKinetics................251.3ApplicationstoElectricCircuits.................291.4ExistenceandUniq
8、uenessTheorem................321.5MathematicaCommandsinTextFormat.............351.6Exercises..............................362PlanarSystems412.1CanonicalForms.........................422.2EigenvectorsDeÞningStableand
