LEADER 03043nam 2200541 450 001 9910819487303321 005 20230814224114.0 010 $a3-11-058708-4 010 $a3-11-058726-2 024 7 $a10.1515/9783110587265 035 $a(CKB)4100000005958680 035 $a(DE-B1597)491622 035 $a(OCoLC)1046611903 035 $a(DE-B1597)9783110587265 035 $a(Au-PeEL)EBL5505563 035 $a(CaPaEBR)ebr11605913 035 $a(MiAaPQ)EBC5505563 035 $a(EXLCZ)994100000005958680 100 $a20180926d2018 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aInfinite-dimensional dynamical systems$hvolume 2$iattractors and methods /$fBoling Guo [and three others] 210 1$aBerlin ;$aBoston :$cDe Gruyter,$d[2018] 210 4$d?2018 215 $a1 online resource (414 pages) 225 0 $aInfinite-Dimensional Dynamical Systems ;$vVolume 2 311 $a3-11-058699-1 327 $tFrontmatter --$tPreface --$tContents --$t1. Discrete attractor and approximate calculation --$t2. Some properties of global attractor --$t3. Structures of small dissipative dynamical systems --$t4. Existence and stability of solitary waves --$tBibliography --$tIndex 330 $aThis two-volume work presents state-of-the-art mathematical theories and results on infinite-dimensional dynamical systems. Inertial manifolds, approximate inertial manifolds, discrete attractors and the dynamics of small dissipation are discussed in detail. The unique combination of mathematical rigor and physical background makes this work an essential reference for researchers and graduate students in applied mathematics and physics. The main emphasis in the fi rst volume is on the existence and properties for attractors and inertial manifolds. This volume highlights the use of modern analytical tools and methods such as the geometric measure method, center manifold theory in infinite dimensions, the Melnihov method, spectral analysis and so on for infinite-dimensional dynamical systems. The second volume includes the properties of global attractors, the calculation of discrete attractors, structures of small dissipative dynamical systems, and the existence and stability of solitary waves. ? ContentsDiscrete attractor and approximate calculation Some properties of global attractor Structures of small dissipative dynamical systems Existence and stability of solitary waves 606 $aDifferential equations 606 $aDifferential equations, Partial 615 0$aDifferential equations. 615 0$aDifferential equations, Partial. 676 $a515.35 700 $aGuo$b Boling$0879545 702 $aLing$b Liming 702 $aMa$b Yansheng 702 $aYang$b Hui 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910819487303321 996 $aInfinite-dimensional dynamical systems$93975321 997 $aUNINA