La Matematica per il 3+2

Discrete Dynamical Models

Authors: Salinelli, Ernesto, Tomarelli, Franco

  • ​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
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  • ISBN 978-3-319-02291-8
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Softcover $79.99
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  • ISBN 978-3-319-02290-1
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About this Textbook

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.

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.

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)

Table of contents (8 chapters)

  • Recursive phenomena and difference equations

    Salinelli, Ernesto (et al.)

    Pages 1-23

  • Linear difference equations

    Salinelli, Ernesto (et al.)

    Pages 25-83

  • Discrete dynamical systems: one-step scalar equations

    Salinelli, Ernesto (et al.)

    Pages 85-124

  • Complex behavior of nonlinear dynamical systems: bifurcations and chaos

    Salinelli, Ernesto (et al.)

    Pages 125-177

  • Discrete dynamical systems: one-step vector equations

    Salinelli, Ernesto (et al.)

    Pages 179-226

Buy this book

eBook $59.99
price for USA (gross)
  • ISBN 978-3-319-02291-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $79.99
price for USA
  • ISBN 978-3-319-02290-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Discrete Dynamical Models
Authors
Series Title
La Matematica per il 3+2
Series Volume
76
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-02291-8
DOI
10.1007/978-3-319-02291-8
Softcover ISBN
978-3-319-02290-1
Series ISSN
2038-5722
Edition Number
1
Number of Pages
XVI, 394
Topics