03043nam 2200541 450 991081948730332120230814224114.03-11-058708-43-11-058726-210.1515/9783110587265(CKB)4100000005958680(DE-B1597)491622(OCoLC)1046611903(DE-B1597)9783110587265(Au-PeEL)EBL5505563(CaPaEBR)ebr11605913(MiAaPQ)EBC5505563(EXLCZ)99410000000595868020180926d2018 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierInfinite-dimensional dynamical systemsvolume 2attractors and methods /Boling Guo [and three others]Berlin ;Boston :De Gruyter,[2018]℗20181 online resource (414 pages)Infinite-Dimensional Dynamical Systems ;Volume 23-11-058699-1 Frontmatter --Preface --Contents --1. Discrete attractor and approximate calculation --2. Some properties of global attractor --3. Structures of small dissipative dynamical systems --4. Existence and stability of solitary waves --Bibliography --IndexThis 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 wavesDifferential equationsDifferential equations, PartialDifferential equations.Differential equations, Partial.515.35Guo Boling879545Ling Liming Ma YanshengYang HuiMiAaPQMiAaPQMiAaPQBOOK9910819487303321Infinite-dimensional dynamical systems3975321UNINA