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1、LectureNotesinMathematics1860Editors:J.--M.Morel,CachanF.Takens,GroningenB.Teissier,ParisAllaBorisyukAvnerFriedmanBardErmentroutDavidTermanTutorialsinMathematicalBiosciencesIMathematicalNeuroscience123AuthorsAllaBorisyukAvnerFriedmanMathematicalBiosciencesInstituteMathematicalB
2、iosciencesInstituteTheOhioStateUniversityTheOhioStateUniversity231West18thAve.231West18thAve.Columbus,OH43210-1174,USAColumbus,OH43210-1174,USAe-mail:borisyuk@mbi.osu.edue-mail:afriedman@mbi.osu.eduBardErmentroutDavidTermanDepartmentofMathematicsDepartmentofMathematicsUniversit
3、yofPittsburghTheOhioStateUniversity502ThackerayHall231West18thAve.Pittsburgh,PA15260,USAColumbus,OH43210-1174,USAe-mail:bard@pitt.edue-mail:terman@math.ohio-state.eduCoverFigure:Corticalneurons(nervecells),cDennisKunkelMicroscopy,Inc.LibraryofCongressControlNumber:2004117383Ma
4、thematicsSubjectClassification(2000):34C10,34C15,34C23,34C25,34C37,34C55,35K57,35Q80,37N25,92C20,92C37ISSN0075-8434ISBN3-540-23858-1Springer-VerlagBerlinHeidelbergNewYorkDOI10.1007/b102786Thisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconc
5、erned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation,broadcasting,reproductiononmicrofilmorinanyotherway,andstorageindatabanks.DuplicationofthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,init
6、scurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer.ViolationsareliableforprosecutionundertheGermanCopyrightLaw.SpringerispartofSpringerScience+BusinessMediaspringeronline.comcSpringer-VerlagBerlinHeidelberg2005PrintedinGermanyTheuseofgeneraldescriptivenames,re
7、gisterednames,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantprotectivelawsandregulationsandthereforefreeforgeneraluse.Typesetting:Camera-readyTEXoutputbytheauthorsSPIN:1134829041/3142-543210-Printedonacid-
8、freepaperPrefaceThisisthefirstvolumeintheseries“Tutoria
