LEADER 02808nam 2200661 450 001 996466611803316 005 20220702113729.0 010 $a3-540-48759-X 024 7 $a10.1007/BFb0093599 035 $a(CKB)1000000000437307 035 $a(SSID)ssj0000492874 035 $a(PQKBManifestationID)12191487 035 $a(PQKBTitleCode)TC0000492874 035 $a(PQKBWorkID)10499909 035 $a(PQKB)10000055 035 $a(DE-He213)978-3-540-48759-3 035 $a(MiAaPQ)EBC5586254 035 $a(Au-PeEL)EBL5586254 035 $a(OCoLC)1066180114 035 $a(MiAaPQ)EBC6745660 035 $a(Au-PeEL)EBL6745660 035 $a(OCoLC)1113451955 035 $a(PPN)155171143 035 $a(EXLCZ)991000000000437307 100 $a20220702d1999 uy 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aFlows on 2-dimensional manifolds $ean overview /$fIgor Nikolaev, Evgeny Zhuzhoma 205 $a1st ed. 1999. 210 1$aBerlin ;$aHeidelberg :$cSpringer-Verlag,$d[1999] 210 4$d©1999 215 $a1 online resource (XXII, 302 p.) 225 1 $aLecture Notes in Mathematics ;$vVolume 1705 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-66080-1 327 $aDefinitions 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. 330 $aTime-evolution in low-dimensional topological spaces is a subject of puzzling vitality. This book is a state-of-the-art account, covering classical and new results. The volume comprises Poincaré-Bendixson, local and Morse-Smale theories, as well as a carefully written chapter on the invariants of surface flows. Of particular interest are chapters on the Anosov-Weil problem, C*-algebras and non-compact surfaces. The book invites graduate students and non-specialists to a fascinating realm of research. It is a valuable source of reference to the specialists. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$vVolume 1705. 606 $aMathematics 606 $aDifferentiable dynamical systems 606 $aGlobal analysis 615 0$aMathematics. 615 0$aDifferentiable dynamical systems. 615 0$aGlobal analysis. 676 $a510 686 $a57R25$2msc 700 $aNikolaev$b Igor$f1961-$059391 702 $aZhuzhoma$b E. V. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466611803316 996 $aFlows on 2-dimensional manifolds$9262447 997 $aUNISA