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1、NONLINEARPHYSICALSCIENCENailH.IbragimovVladimirF.KovalevApproximateandRenormgroupSymmetriesWith7figures~~~1ftfj.lt.&t±•..HIGHEREDUCATIONPRESS~SpringerNONLINEARPHYSICALSCIENCENonlinearPhysicalSciencefocusesonrecentadvancesoffundamentaltheoriesandprinciples,analyticalandsymbo
2、licapproaches,aswellascomputationaltechniquesinnonlinearphysicalscienceandnonlinearmathematicswithengineeringapplica•tions.TopicsofinterestinNonlinearPhysicalScienceincludebutarenotlimitedto:-Newfindingsanddiscoveriesinnonlinearphysicsandmathematics-Nonlinearity,complexitya
3、ndmathematicalstructuresinnonlinearphysics-Nonlinearphenomenaandobservationsinnatureandengineering-Computationalmethodsandtheoriesincomplexsystems-Liegroupanalysis,newtheoriesandprinciplesinmathematicalmodeling-Stability,bifurcation,chaosandfractalsinphysicalscienceandengin
4、eering-Nonlinearchemicalandbiologicalphysics-Discontinuity,synchronizationandnaturalcomplexityinthephysicalsciencesSERIESEDITORSAlbertC.J.LuoNailH.IbragimovDepartmentofMechanicalandIndustrialEngi•DepartmentofMathematicsandScienceneeringBlekingeInstituteofTechnologySouthernI
5、llinoisUniversityEdwardsvilleS-37179Karlskrona,SwedenEdwardsville,IL62026-1805,USAEmail:nib@bth.seEmail:aluo@siue.eduINTERNATIONALADVISORYBOARDPingAo,UniversityofWashington,USA;Email:aoping@u.washington.eduJanAwrejcewicz,TheTechnicalUniversityofLodz,Poland;Email:awrejcew@p.
6、lodz.plEugeneBenilov,UniversityofLimerick,Ireland;Email:Eugene.Benilov@ul.ieEshelBen-Jacob,TelAvivUniversity,Israel;Email:eshel@tamar.tau.ae.ilMauriceCourbage,UniversiteParis7,France;Email:maurice.courbage@univ-paris-diderot.frMarianGidea,NortheasternIllinoisUniversity,USA;
7、Email:mgidea@neiu.eduJamesA.Glazier,IndianaUniversity,USA;Email:glazier@indiana.eduShijunLiao,ShanghaiJiaotongUniversity,China;Email:sjliao@sjtu.edu.cnJoseAntonioTenreiroMachado,ISEP-InstituteofEngineeringofPorto,Portugal;Email:jtm@dee.isep.ipp.ptNikolaiA.Magnitskii,Russian
8、AcademyofSciences,Russia;Email:nmag@isa.ruJosepJ,Masdemont,UniversitatPoliteeniead