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1、GérardIoossDanielD.JosephElementaryStabilityandBifurcationTheorySecondEditionWith58IllustrationsSpringer-VerlagNewYorkBerlinHeidelbergLondonParisTokyoGérardloossDanielD.JosephFacultedesSciencesDepartmentofAerospaceEngineeringInstitutdeMathématiquesandMechanicsetSciencesPhysi
2、quesUniversityofMinnesotaUniversitédeNiceMinneapolis,MN55455ParcValrose,Nice06034U.S.A.FranceEditorialBoardJ.H.EwingF.W.GehringP.R.HalmosDepartmentofDepartmentofDepartmentofMathematicsMathematicsMathematicsIndianaUniversityUniversityofMichiganSantaClaraUniversityBloomington,
3、IN47401AnnArbor,MI48019SantaClara,CA95053U.S.A.U.S.A.U.S.A.AMSSubjectClassificalion(1980):34-01,34,A34,34D30,34D99.34C99LibraryofCongressCataloging-in-PublicationDataIooss,Gérard.Elementarystabilityandhifurcationtheory/Gérardlooss,DanielD.Joseph.-2nded.o.cm.-(Undereraduatete
4、xtsinrnathematicsl1.DiKerentialequations-Numericalsolutions.2.Evolution4equations-Numericalsolutions.3.Stability.4.Bifurcatio"theory.I.Joseph.DanielD.I1Title.111.Series.QA372.168198951S.35-dc2089-217651980,1990bySpringer-VerlagNewYorkInc.Allrightsreserved.Thisworkmayno1betra
5、nslatedorcopiedinwholeorinpartwithoutlhewrittenpermissionoflhepublisher(Springer-Verlag.175FifthAvenue,NewYork,NY10010,U.S.A.),exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnec-tionwithanyformafinformationstorageandretrieval,electronicadaptation,co
6、mputersoftware,orbysimilarordissimilarrnethodologynowknownorhereafterdevelopedisforbidden.Theuseofgeneraldescriptivenames,tradenames,trademarks,etc.,inthispublication.eveniftheformerarenotespeciallyidentified,isnottobetakenasasignthatsuchnames,asunderstoodbytheTradeMarksandM
7、erchandiseMarksAct,mayaccordinglybeusedfreelybyanyone.PrintedandboundbyR.R.Donnelley&Sons,Harrisonburg,Virginia.PrintedinlheUnitedStatesofAmerica.ISBN0-387-97068-1Spnnger-VerlagNewYorkBerlinHeidelbergISBN3-540-97068-1Springer-VerlagBerlinHeidelbergNwYorkUndergraduateTextsinM
8、athematicsEditor3.i.H.EwingF.W.GehringP.R.HalmosUndergraduateTextsinMathema
