02808nam 2200661 450 99646661180331620220702113729.03-540-48759-X10.1007/BFb0093599(CKB)1000000000437307(SSID)ssj0000492874(PQKBManifestationID)12191487(PQKBTitleCode)TC0000492874(PQKBWorkID)10499909(PQKB)10000055(DE-He213)978-3-540-48759-3(MiAaPQ)EBC5586254(Au-PeEL)EBL5586254(OCoLC)1066180114(MiAaPQ)EBC6745660(Au-PeEL)EBL6745660(OCoLC)1113451955(PPN)155171143(EXLCZ)99100000000043730720220702d1999 uy 0engurnn#008mamaatxtccrFlows on 2-dimensional manifolds an overview /Igor Nikolaev, Evgeny Zhuzhoma1st ed. 1999.Berlin ;Heidelberg :Springer-Verlag,[1999]©19991 online resource (XXII, 302 p.)Lecture Notes in Mathematics ;Volume 1705Bibliographic Level Mode of Issuance: Monograph3-540-66080-1 Definitions and examples -- Poincaré-Bendixson’s theory -- Decomposition of flows -- Local theory -- Space of flows and vector fields -- Ergodic theory -- Invariants of surface flows -- C *-algebras of surface flows -- Semi-local theory -- Anosov-Weil problem -- Non-compact surfaces -- Triptych.Time-evolution in low-dimensional topological spaces is a subject of puzzling vitality. This book is a state-of-the-art account, covering classical and new results. The volume comprises Poincaré-Bendixson, local and Morse-Smale theories, as well as a carefully written chapter on the invariants of surface flows. Of particular interest are chapters on the Anosov-Weil problem, C*-algebras and non-compact surfaces. The book invites graduate students and non-specialists to a fascinating realm of research. It is a valuable source of reference to the specialists.Lecture notes in mathematics (Springer-Verlag) ;Volume 1705.MathematicsDifferentiable dynamical systemsGlobal analysisMathematics.Differentiable dynamical systems.Global analysis.51057R25mscNikolaev Igor1961-59391Zhuzhoma E. V.MiAaPQMiAaPQMiAaPQBOOK996466611803316Flows on 2-dimensional manifolds262447UNISA