Discrete Dynamical Models

種類:

電子ブック

責任表示:

by Ernesto Salinelli, Franco Tomarelli

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2014

著者名:

• Salinelli, Ernesto
• Tomarelli, Franco
• SpringerLink (Online service)

シリーズ名:

UNITEXT ; 76

ISBN:

9783319022918 [3319022911]    

注記:

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 Economic

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