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1、7960tp.indd18/24/109:27AMThispageintentionallyleftblankThispageintentionallyleftblankDenisBlackmoreNewJerseyInstituteofTechnology,USAAnatoliyKPrykarpatskyAGHUniversityofScienceandTechnology,PolandTheIvanFrankoStatePedagogicalUniversity,UkraineValeriyHrSamoylenkoKyivNationalTarasShevchenkoU
2、niversity,UkraineWorldScientificNEWJERSEY•LONDON•SINGAPORE•BEIJING•SHANGHAI•HONGKONG•TAIPEI•CHENNAI7960tp.indd28/24/109:27AMPublishedbyWorldScientificPublishingCo.Pte.Ltd.5TohTuckLink,Singapore596224USAoffice:27WarrenStreet,Suite401-402,Hackensack,NJ07601UKoffice:57SheltonStreet,CoventGard
3、en,LondonWC2H9HELibraryofCongressCataloging-in-PublicationDataNonlineardynamicalsystemsofmathematicalphysics:spectralandsymplecticintegrabilityanalysis/byDenisBlackmore...[etal.].p.cm.Includesbibliographicalreferencesandindex.ISBN-13:978-981-4327-15-2(hardcover:alk.paper)ISBN-10:981-4327-1
4、5-8(hardcover:alk.paper)1.Differentiabledynamicalsystems.2.Nonlineartheories.3.Symplecticgeometry.4.Spectralanalysis--Mathematics.I.Blackmore,DenisL.QA614.8.N6562011530.15'539--dc222010028336BritishLibraryCataloguing-in-PublicationDataAcataloguerecordforthisbookisavailablefromtheBritishLib
5、rary.Copyright©2011byWorldScientificPublishingCo.Pte.Ltd.Allrightsreserved.Thisbook,orpartsthereof,maynotbereproducedinanyformorbyanymeans,electronicormechanical,includingphotocopying,recordingoranyinformationstorageandretrievalsystemnowknownortobeinvented,withoutwrittenpermissionfromthePu
6、blisher.Forphotocopyingofmaterialinthisvolume,pleasepayacopyingfeethroughtheCopyrightClearanceCenter,Inc.,222RosewoodDrive,Danvers,MA01923,USA.Inthiscasepermissiontophotocopyisnotrequiredfromthepublisher.PrintedinSingapore.EH-NonlinearDynamicalSystems.pmd11/6/2011,4:09PMDecember22,201018:4
7、WorldScienti¯cBook-9inx6inBPSbkWededicatethisbooktoourfamilies,whoselove,devotionandpatiencesustainedus;ourteachersandmentors,whoenlightenedandguidedus;ourcolleagues,studentsandfriends,whoaidedandencouragedus;andthepioneersinthe¯eld,whosemagni¯centcontribution
