LEADER 02672nam 2200445 450 001 9910551834703321 005 20221008230037.0 010 $a9783030950927$b(electronic bk.) 010 $z9783030950910 035 $a(MiAaPQ)EBC6904036 035 $a(Au-PeEL)EBL6904036 035 $a(CKB)21348624600041 035 $a(PPN)261519794 035 $a(EXLCZ)9921348624600041 100 $a20221008d2022 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aDiscrete dynamics $ebasic theory and examples /$fAndrea Bacciotti 210 1$aCham, Switzerland :$cSpringer,$d[2022] 210 4$dİ2022 215 $a1 online resource (153 pages) $cillustrations (chiefly color) 225 1 $aMathematical Engineering. 311 08$aPrint version: Bacciotti, Andrea Discrete Dynamics Cham : Springer International Publishing AG,c2022 9783030950910 320 $aIncludes bibliographical references and index. 327 $aDiscrete dynamical systems Stability and attraction Bifurcations Positive linear systems 330 $aThis book offers a complete and detailed introduction to the theory of discrete dynamical systems, with special attention to stability of fixed points and periodic orbits. It provides a solid mathematical background and the essential basic knowledge for further developments such as, for instance, deterministic chaos theory, for which many other references are available (but sometimes, without an exhaustive presentation of preliminary notions). Readers will find a discussion of topics sometimes neglected in the research literature, such as a comparison between different predictions achievable by the discrete time model and the continuous time model of the same application. Another novel aspect of this book is an accurate analysis of the way a fixed point may lose stability, introducing and comparing several notions of instability: simple instability, repulsivity, and complete instability. To help the reader and to show the flexibility and potentiality of the discrete approach to dynamics, many examples, numerical simulations, and figures have been included. The book is used as a reference material for courses at a doctoral or upper undergraduate level in mathematics and theoretical engineering. 410 0$aMathematical Engineering. 606 $aMathematics 615 0$aMathematics. 676 $a531.11 700 $aBacciotti$b Andrea$08266 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910551834703321 996 $aDiscrete Dynamics$92802650 997 $aUNINA