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1、JacobPalis,Jr.WelingtondeMeloGeometricTheoryofDynamicalSystemsAnIntroductionTranslatedbyA.K.ManningJacobPalis,Jr.WelingtondeMeloGeometricTheoryofDynamicalSystemsAnIntroductionTranslatedbyA.K.ManningWith114IllustrationsSpringer-VerlagNewYorkHeidelbergBerlinJacobPalis,Jr.A.K.Manning(Translator)Wel
2、ingtondeMeloMathematicsInstituteInstitutodeMatematicaPuraeAplicadaUniversityofWarwickEstradaDonaCastorina110CoventryCV47ALJardimBotilnico22460EnglandRiodeJaneiro-RJBrazilAMSSubjectClassifications(1980):58-01,58F09,58FI0,34C35,34C40LibraryofCongressCataloginginPublicationDataPalisJunior,Jacob.Geo
3、metrictheoryofdynamicalsystems.Bibliography:p.Includesindex.1.Globalanalysis(Mathematics)2.Differentiabledynamicalsystems.1.Melo,Welingtonde.II.Title.QA614.P2813514'7481-23332AACR2?1982bySpringer-VerlagNewYorkIncAllrightsreservedNopartofthisbookmaybetranslatedorreproducedinanyformwithoutwrittenp
4、ermissionfromSpninxer-Verlag.175FifthAveemeNewYork,NewYork10010,USAPrintedintheUnitedStatesofAmerica987654321ISBN0-387-90668-1Springer-VerlagNewYorkHeidelbergBerlinISBN3-540-90668-1Spnnger-VerlagBerlinHeidelbergNewYorkAcknowledgmentsThisbookgrewfromcoursesandseminarstaughtatIMPAandseveralotherin
5、stitutionsbothinBrazilandabroad,afirsttextbeingpreparedfortheXthBrazilianMathematicalColloquium.Withseveraladditions,itlaterbecameabookintheBrazilianmathematicalcollectionProjetoEuclides,publishedinPortuguese.Anumberofimprovementswereagainmadeforthepresenttranslation.Wearemostgratefultomanycolle
6、aguesandstudentswhoprovideduswithusefulsuggestionsand,aboveall,encouragementforustopresenttheseintroductoryideasonGeometricDynamics.WeareparticularlythankfultoPauloSadand,especiallytoAlcidesLinsNeto,forwritingpartofafirstsetofnotes,andtoAnthonyManningforthetranslationintoEnglish.Introduction...e
7、etteetudequalitative(desequationsdiferentielles)auraparelle-memeuninteretdupremierordre...HENRIPOINCARE,1881.WepresentinthisbookaviewoftheGeometricTheoryofDynamicalSystems,whichisintroductoryandyetgivesthereaderanunderstandi
