Skip to main content
SpringerLink
Log in
Book cover

Discrete Dynamical Models

  • Textbook
  • © 2014

Overview

Authors:
  1. Ernesto Salinelli

    1. Dipartimento di Studi per l’Economia e l’Impresa, Università del Piemonte Orientale, Novara, Italy

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Franco Tomarelli

    1. Dipartimento di Matematica, Politecnico di Milano, Milano, Italy

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • The multi-disciplinary and modellistic approach provides a broad overview of the applications
  • A large number of step-by-step exercises and their worked solutions help the reader to learn quickly
  • The notion of chaotic dynamics is introduced through an in-depth study of the logistic model
  • Vector-valued discrete dynamical systems are focussed especially in connection to Markov chains, positive systems, demography and page-rank algorithm
  • Includes supplementary material: sn.pub/extras

Part of the book series: UNITEXT (UNITEXT, volume 76)

Part of the book sub series: La Matematica per il 3+2 (UNITEXTMAT)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (8 chapters)

  1. Front Matter

    Pages i-xvi
    Download chapter PDF

  2. Recursive phenomena and difference equations

    • Ernesto Salinelli, Franco Tomarelli
    Pages 1-23

  3. Linear difference equations

    • Ernesto Salinelli, Franco Tomarelli
    Pages 25-83

  4. Discrete dynamical systems: one-step scalar equations

    • Ernesto Salinelli, Franco Tomarelli
    Pages 85-124

  5. Complex behavior of nonlinear dynamical systems: bifurcations and chaos

    • Ernesto Salinelli, Franco Tomarelli
    Pages 125-177

  6. Discrete dynamical systems: one-step vector equations

    • Ernesto Salinelli, Franco Tomarelli
    Pages 179-226

  7. Markov chains

    • Ernesto Salinelli, Franco Tomarelli
    Pages 227-255

  8. Positive matrices and graphs

    • Ernesto Salinelli, Franco Tomarelli
    Pages 257-283

  9. Solutions of the exercises

    • Ernesto Salinelli, Franco Tomarelli
    Pages 285-341

  10. Back Matter

    Pages 343-394
    Download chapter PDF
Back to top

Keywords

About this book

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.

Reviews

From the book reviews:

“The text, intended for undergraduate students, is translated from its Italian third edition … . The book is made of seven chapters, plus one devoted to solutions to proposed exercises, and eight complements. … All chapters include a number of exercises (184 in total).” (Giuseppe Gaeta, zbMATH, Vol. 1301, 2015)

Authors and Affiliations

  • Dipartimento di Studi per l’Economia e l’Impresa, Università del Piemonte Orientale, Novara, Italy

    Ernesto Salinelli

  • Dipartimento di Matematica, Politecnico di Milano, Milano, Italy

    Franco Tomarelli

About the authors

Prof. Franco Tomarelli, Dip. Matematica F. Brioschi, Politecnico di Milano, Italy Prof. Ernesto Salinelli, Dip. Di Studi per l'Economia e l'Impresa, Università degli Studi del Piemonte Orientale A.Avogabro, Novara, Italy.

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation