Discrete Dynamical Systems
by Arild Wikan
Publisher: Bookboon 2013
ISBN-13: 9788740303278
Number of pages: 254
Description:
This book covers important topics like stability, hyperbolicity, bifurcation theory and chaos, topics which are essential in order to understand the fascinating behavior of nonlinear discrete dynamical systems. The theory is illuminated by several examples and exercises, many of them taken from population dynamical studies. Solution methods of linear systems as well as solution methods of discrete optimization (control) problems are also included.
Download or read it online for free here:
Download link
(5.7MB, PDF)
Similar books
Valuations and Hyperbolicity in Dynamicsby Thomas Ward - University of East Anglia
These notes describe several situations in dynamics where the notion of valuations on rings provides a simple language in which to describe and exploit hyperbolicity. This approach goes a little beyond simply providing a convenient language.
(9276 views)
Fractal Analysisby Sid-Ali Ouadfeul (ed.) - InTech
The aim of this book is to show some applications of fractal analysis in the sciences. The first chapter introduces the readers to the book, while the second chapter shows the methods and challenges of fractal analysis of time-series data sets...
(5658 views)
Entropy of Compact Group Automorphismsby Thomas Ward - University of East Anglia
These notes cover a very short introduction to measure-theoretic and topological entropy, and are aimed at understanding part of Yuzvinskii's formula for the entropy of compact group automorphisms. Based on a course at the Ohio State University.
(9293 views)
The Hopf Bifurcation and Its Applicationsby J. E. Marsden, M. McCracken - Springer
The goal of these notes is to give a reasonably complete, although not exhaustive, discussion of what is commonly referred to as the Hopf bifurcation with applications to specific problems, including stability calculations.
(14262 views)