Discrete Dynamical Systems

  • Kenneth R. Davidson
  • Allan P. Donsig
Part of the Undergraduate Texts in Mathematics book series (UTM)


Suppose we wish to describe some physical system. The dynamical systems approach considers the space X of all possible states of the system—think of a point x in X as representing physical data. We will assume that X is a subset of some normed vector space, often \({\mathbb{R}}\). The evolution of the system over time determines a function T of X into itself that takes each state to a new state, one unit of time later.


Chaotic System Periodic Point Iterate Function System Contraction Principle Discrete Dynamical System 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag New York 2009

Authors and Affiliations

  1. 1.Department of Pure MathematicsUniversity of WaterlooOntarioCanada
  2. 2.Department of MathematicsUniversity of Nebraska-LincolnLincolnUSA

Personalised recommendations