Discrete Dynamical Systems

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 
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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

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