rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Discrete Dynamical Models
  name:
    name part: Salinelli, Ernesto.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Tomarelli, Franco.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2014
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XVI, 394 p. online resource.
  abstract: 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.
  table of contents: 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.
  note: by Ernesto Salinelli, Franco Tomarelli.
  subject:
    topic: Mathematics
  subject:
    topic: Matrix theory
  subject:
    topic: Algebra
  subject:
    topic: Difference equations
  subject:
    topic: Functional equations
  subject:
    topic: Dynamics
  subject:
    topic: Ergodic theory
  subject:
    topic: Applied mathematics
  subject:
    topic: Engineering mathematics
  subject:
    topic: Discrete mathematics
  subject:
    topic: Mathematics
  subject:
    topic: Dynamical Systems and Ergodic Theory
  subject:
    topic: Difference and Functional Equations
  subject:
    topic: Linear and Multilinear Algebras, Matrix Theory
  subject:
    topic: Applications of Mathematics
  subject:
    topic: Discrete Mathematics
  classification: QA313
  classification: 515.39
  classification: 515.48
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: UNITEXT, 76
  identifier: 9783319022918
  identifier: http://dx.doi.org/10.1007/978-3-319-02291-8
  record info:
    record creation date: 140611
    record change date: 20151204150331.0
    record identifier: 978-3-319-02291-8