02928nam 2200613 450 99646667230331620220908115655.03-540-48314-410.1007/BFb0073519(CKB)1000000000437172(SSID)ssj0000326768(PQKBManifestationID)12090960(PQKBTitleCode)TC0000326768(PQKBWorkID)10299025(PQKB)10538614(DE-He213)978-3-540-48314-4(MiAaPQ)EBC5579643(Au-PeEL)EBL5579643(OCoLC)1066184227(MiAaPQ)EBC6842363(Au-PeEL)EBL6842363(OCoLC)793079349(PPN)155178350(EXLCZ)99100000000043717220220908d1994 uy 0engurnn|008mamaatxtccrThe space of dynamical systems with the C0-topology /Sergei Yu. Pilyugin1st ed. 1994.Berlin ;Heidelberg :Springer-Verlag,[1994]©19941 online resource (CCIV, 194 p.) Lecture Notes in Mathematics ;Volume 1571Bibliographic Level Mode of Issuance: Monograph3-540-57702-5 Definitions and preliminary results -- Generic properties of dynamical systems -- Topological stability -- Perturbations of atrractors -- Limit sets of domains.This 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.Lecture notes in mathematics (Springer-Verlag) ;Volume 1571.Differentiable dynamical systemsLyapunov functionsDifferentiable dynamical systems.Lyapunov functions.515.352Pilyugin Sergei Yu(Sergei Yurievitch),1947-60268MiAaPQMiAaPQMiAaPQBOOK996466672303316Space of dynamical systems with the C0-topology262402UNISA