Discrete Dynamical Models

• Main Authors: Salinelli, Ernesto (Author), Tomarelli, Franco (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: UNITEXT, 76
• Subjects: Mathematics.; Matrix theory.; Algebra.; Difference equations.; Functional equations.; Dynamics.; Ergodic theory.; 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.

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 Th...

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.