简介:ThepaperdealswiththecomputationandbifurcationanalysisofdoubleTakens-Bogdanovpoint(u0,∧0)(inshort,DTBpoint)intheZ2-equivariablenonlinearequationf(u,∧)=0,f:U×R4→V,whereUandVareBanachspaces,parameters∧∈R4.At(u0,∧0),thenullspaceoffu0hasgeometricmultiplicity2andalgebraicmultiplicity4.FirstlyaregularextendedsystemforcomputingDTBpointisproposed.Secondly,itisprovedthattherearefourbranchesofsingularpointsbifurcatedfromDTBpoint:twopathsofSTBpoints,twopathsofTB-Hopfpoints.Finally,thenumericalresultsofonedimensionalBrusselatorequationsaregiventoshowtheeffectivenessofourtheoryandmethod.
简介:刻画加权Bergman空间Aα^2(Ω)上的加权复合算子Cφ,Ф的Schatten-p类.
简介:Inthispaper,themodifiedextendedtanhmethodisusedtoconstructmoregeneralexactsolutionsofa(2+1)-dimensionalnonlinearSchr¨odingerequation.WiththeaidofMapleandMatlabsoftware,weobtainexactexplicitkinkwavesolutions,peakonwavesolutions,periodicwavesolutionsandtheir3Dimages.
简介:Inthispapertheauthorpresentsamethodforthenumericalsolutionofa2-DCauchyprincipalvalueoftheformwhereSisadomainwithacontinuousboundary.Byusmgpolarcoordinates,theintegralisreducedtotheformwheredenotesthefinite-partoftheintegral.Weconstructtherelativeproductrulebasedonquasi-interpolatingsplines.Convergenceresultsareprovedandnumericalexamplesaregiven.
简介:UsingthemethodofGirsanovtransformation,weestablishtheTalagrand'sT2-inequalityfordiffusiononthepathspaceC([0,N],R^d)withrespecttoauniformmetric,withtheconstantindependentofN.ThisimprovestheknownresultsfortheL2-metric.