02815nam 2200601 450 99646664310331620220911060852.03-540-45971-510.1007/BFb0079769(CKB)1000000000437458(SSID)ssj0000324202(PQKBManifestationID)12091426(PQKBTitleCode)TC0000324202(PQKBWorkID)10304203(PQKB)10469509(DE-He213)978-3-540-45971-2(MiAaPQ)EBC5579226(Au-PeEL)EBL5579226(OCoLC)1066199580(MiAaPQ)EBC6842396(Au-PeEL)EBL6842396(OCoLC)1113036843(PPN)155165577(EXLCZ)99100000000043745820220911d1988 uy 0engurnn|008mamaatxtccrIterates of piecewise monotone mappings on an interval /edited by Chris Preston1st ed. 1988.Berlin, Heidelberg :Springer-Verlag,[1988]©19881 online resource (VIII, 172 p.) Lecture Notes in Mathematics ;Volume 1347Bibliographic Level Mode of Issuance: Monograph0-387-50329-3 3-540-50329-3 Piecewise monotone mappings -- Proof of Theorems 2.4 and 2.5 -- Sinks and homtervals -- Examples of register-shifts -- A proof of Parry's theoren (Theorem 2.6) -- Reductions -- The structure of the set D(f) -- Countable closed invariant sets -- Extensions -- Refinements -- Mappings with one turning point -- Some miscellaneous results from real analysis.Piecewise monotone mappings on an interval provide simple examples of discrete dynamical systems whose behaviour can be very complicated. These notes are concerned with the properties of the iterates of such mappings. The material presented can be understood by anyone who has had a basic course in (one-dimensional) real analysis. The account concentrates on the topological (as opposed to the measure theoretical) aspects of the theory of piecewise monotone mappings. As well as offering an elementary introduction to this theory, these notes also contain a more advanced treatment of the problem of classifying such mappings up to topological conjugacy.Lecture notes in mathematics (Berlin) ;Volume 1347.Iterative methods (Mathematics)Iterative methods (Mathematics)518.26Preston Christopher J.MiAaPQMiAaPQMiAaPQBOOK996466643103316Iterates of piecewise monotone mappings on an interval2909980UNISA