LEADER 00000cam a2200685Mi 4500 001 on1046611903 003 OCoLC 005 20220114043859.0 006 m o d 007 cr ||||||||||| 008 180725t20182018gw fobd z001 0 eng d 020 3110587262 020 9783110587265|q(electronic book) 024 7 10.1515/9783110587265|2doi 035 (OCoLC)1046611903 040 DEGRU|beng|erda|epn|cDEGRU|dEBLCP|dDEGRU|dYDX|dOCLCO|dVRC |dOCLCF|dCOO|dU3W|dSTF|dUAB|dNRC|dCUY|dOCLCQ|dK6U|dN$T 049 RIDW 050 4 QA614.8|b.G86 2018 072 7 MAT003000|2bisacsh 072 7 MAT007000|2bisacsh 072 7 SCI040000|2bisacsh 072 7 SCI041000|2bisacsh 082 04 516.36|223 090 QA614.8|b.G86 2018 100 1 Guo, Boling,|0https://id.loc.gov/authorities/names/ n2007077855|eauthor. 245 10 Infinite-Dimensional Dynamical Systems.|nVolume 2, |pAttractors and Methods /|cBoling Guo, Liming Ling, Yansheng Ma, Hui Yang. 246 3 Attractors and Methods 264 1 Berlin ;|aBoston :|bDe Gruyter,|c[2018] 264 4 |c©2018 300 1 online resource (413 pages) 336 text|btxt|2rdacontent 337 computer|bc|2rdamedia 338 online resource|bcr|2rdacarrier 347 text file|bPDF|2rda 504 Includes bibliographical references and index. 505 00 |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 520 This 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 520 This 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 first 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 588 0 Online resource; title from PDF title page (publisher's Web site, viewed 25. Jul 2018). 590 eBooks on EBSCOhost|bEBSCO eBook Subscription Academic Collection - North America 650 0 Differentiable dynamical systems.|0https://id.loc.gov/ authorities/subjects/sh85037882 650 0 Attractors (Mathematics)|0https://id.loc.gov/authorities/ subjects/sh97005887 650 7 Differentiable dynamical systems.|2fast|0https:// id.worldcat.org/fast/893426 650 7 Attractors (Mathematics)|2fast|0https://id.worldcat.org/ fast/820911 650 7 MATHEMATICS|xApplied.|2bisacsh 655 4 Electronic books. 655 7 Dictionaries.|2lcgft|0https://id.loc.gov/authorities/ genreForms/gf2014026086 655 7 Dictionaries.|2fast|0https://id.worldcat.org/fast/1423826 700 1 Ling, Liming,|0https://id.loc.gov/authorities/names/ nb2019009710|eauthor. 700 1 Ma, Yansheng,|0https://id.loc.gov/authorities/names/ no2001036243|eauthor. 700 1 Yang, Hui|c(Mathematician),|0https://id.loc.gov/ authorities/names/nb2019009719|eauthor. 776 08 |iPrint version:|z9783110587081 776 08 |iPrint version:|z9783110586992 856 40 |uhttps://rider.idm.oclc.org/login?url=https:// search.ebscohost.com/login.aspx?direct=true&scope=site& db=nlebk&AN=1883138|zOnline ebook via EBSCO. Access restricted to current Rider University students, faculty, and staff. 856 42 |3Instructions for reading/downloading the EBSCO version of this ebook|uhttp://guides.rider.edu/ebooks/ebsco 901 MARCIVE 20231220 948 |d20220127|cEBSCO|tEBSCOebooksacademic NEW 6019|lridw 994 92|bRID