04946nam 22009135 450 991029999030332120200706054956.03-319-02291-110.1007/978-3-319-02291-8(CKB)3710000000143790(EBL)1782108(SSID)ssj0001275361(PQKBManifestationID)11726675(PQKBTitleCode)TC0001275361(PQKBWorkID)11235635(PQKB)10448063(DE-He213)978-3-319-02291-8(MiAaPQ)EBC6315238(MiAaPQ)EBC1782108(Au-PeEL)EBL1782108(CaPaEBR)ebr10976207(OCoLC)881476853(PPN)179767380(EXLCZ)99371000000014379020140611d2014 u| 0engur|n|---|||||txtccrDiscrete Dynamical Models /by Ernesto Salinelli, Franco Tomarelli1st ed. 2014.Cham :Springer International Publishing :Imprint: Springer,2014.1 online resource (398 p.)La Matematica per il 3+2,2038-5722 ;76Description based upon print version of record.3-319-02290-3 Includes bibliographical references and index.1 Recursive phenomena and difference equations -- 2 Linear difference equations -- 3 Discrete dynamical systems: one-step scalar equations -- 4 Complex behavior of nonlinear dynamical systems: bifurcations and chaos -- 5 Discrete dynamical systems: vector equations -- 6 Markov chains -- 7 Matrix -- 8 Solutions.This book provides an introduction to the analysis of discrete dynamical systems. The content is presented by an unitary approach that blends the perspective of mathematical modeling together with the ones of several discipline as Mathematical Analysis, Linear Algebra, Numerical Analysis, Systems Theory and Probability. After a preliminary discussion of several models, the main tools for the study of linear and non-linear scalar dynamical systems are presented, paying particular attention to the stability analysis. Linear difference equations are studied in detail and an elementary introduction of Z and Discrete Fourier Transform is presented. A whole chapter is devoted to the study of bifurcations and chaotic dynamics. One-step vector-valued dynamical systems are the subject of three chapters, where the reader can find the applications to positive systems, Markov chains, networks and search engines. The book is addressed mainly to students in Mathematics, Engineering, Physics, Chemistry, Biology and Economics. The exposition is self-contained: some appendices present prerequisites, algorithms and suggestions for computer simulations. The analysis of several examples is enriched by the proposition of many related exercises of increasing difficulty; in the last chapter the detailed solution is given for most of them.La Matematica per il 3+2,2038-5722 ;76DynamicsErgodic theoryDifference equationsFunctional equationsMatrix theoryAlgebraApplied mathematicsEngineering mathematicsDiscrete mathematicsDynamical Systems and Ergodic Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M1204XDifference and Functional Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12031Linear and Multilinear Algebras, Matrix Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M11094Applications of Mathematicshttps://scigraph.springernature.com/ontologies/product-market-codes/M13003Discrete Mathematicshttps://scigraph.springernature.com/ontologies/product-market-codes/M29000Dynamics.Ergodic theory.Difference equations.Functional equations.Matrix theory.Algebra.Applied mathematics.Engineering mathematics.Discrete mathematics.Dynamical Systems and Ergodic Theory.Difference and Functional Equations.Linear and Multilinear Algebras, Matrix Theory.Applications of Mathematics.Discrete Mathematics.515.4Salinelli Ernestoauthttp://id.loc.gov/vocabulary/relators/aut41926Tomarelli Francoauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910299990303321Discrete Dynamical Models2543296UNINA