Advertisement

Nonlinear Discrete Dynamical Systems

  • Stephen Lynch
Chapter

Aims and Objectives

• To introduce nonlinear one- and two-dimensional iterated maps.

• To investigate period-doubling bifurcations to chaos.

• To introduce the notion of universality.

On completion of this chapter, the reader should be able to

• produce graphical iterations of one-dimensional iterated maps;

• test whether certain systems are chaotic;

• plot bifurcation diagrams;

• apply some of the theory to model simple problems from biology, economics, neural networks, nonlinear optics, and population dynamics.

Keywords

Periodic Orbit Lyapunov Exponent Bifurcation Diagram Periodic Point Chaotic Attractor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Birkhäuser Boston 2010

Authors and Affiliations

  1. 1.Department of Computing and MathematicsManchester Metropolitan UniversityManchesterUK

Personalised recommendations