LEADER 02928nam 2200613 450 001 996466672303316 005 20220908115655.0 010 $a3-540-48314-4 024 7 $a10.1007/BFb0073519 035 $a(CKB)1000000000437172 035 $a(SSID)ssj0000326768 035 $a(PQKBManifestationID)12090960 035 $a(PQKBTitleCode)TC0000326768 035 $a(PQKBWorkID)10299025 035 $a(PQKB)10538614 035 $a(DE-He213)978-3-540-48314-4 035 $a(MiAaPQ)EBC5579643 035 $a(Au-PeEL)EBL5579643 035 $a(OCoLC)1066184227 035 $a(MiAaPQ)EBC6842363 035 $a(Au-PeEL)EBL6842363 035 $a(OCoLC)793079349 035 $a(PPN)155178350 035 $a(EXLCZ)991000000000437172 100 $a20220908d1994 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 14$aThe space of dynamical systems with the C0-topology /$fSergei Yu. Pilyugin 205 $a1st ed. 1994. 210 1$aBerlin ;$aHeidelberg :$cSpringer-Verlag,$d[1994] 210 4$dİ1994 215 $a1 online resource (CCIV, 194 p.) 225 1 $aLecture Notes in Mathematics ;$vVolume 1571 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-57702-5 327 $aDefinitions and preliminary results -- Generic properties of dynamical systems -- Topological stability -- Perturbations of atrractors -- Limit sets of domains. 330 $aThis book is an introduction to main methods and principal results in the theory of Co(remark: o is upper index!!)-small perturbations of dynamical systems. It is the first comprehensive treatment of this topic. In particular, Co(upper index!)-generic properties of dynamical systems, topological stability, perturbations of attractors, limit sets of domains are discussed. The book contains some new results (Lipschitz shadowing of pseudotrajectories in structurally stable diffeomorphisms for instance). The aim of the author was to simplify and to "visualize" some basic proofs, so the main part of the book is accessible to graduate students in pure and applied mathematics. The book will also be a basic reference for researchers in various fields of dynamical systems and their applications, especially for those who study attractors or pseudotrajectories generated by numerical methods. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$vVolume 1571. 606 $aDifferentiable dynamical systems 606 $aLyapunov functions 615 0$aDifferentiable dynamical systems. 615 0$aLyapunov functions. 676 $a515.352 700 $aPilyugin$b Sergei Yu$g(Sergei Yurievitch),$f1947-$060268 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466672303316 996 $aSpace of dynamical systems with the C0-topology$9262402 997 $aUNISA