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Dynamics of First-Order Difference Equations

  • Saber N. Elaydi
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

Difference equations usually describe the evolution of certain phenomena over the course of time. For example, if a certain population has discrete generations, the size of the (n + 1)st generation x(n + 1) is a function of the nth generation x(n). This relation expresses itself in the difference equation
$$x(n + 1) = f(x(n))$$
(1.1.1)

Keywords

Equilibrium Point Difference Equation Asymptotic Stability Bifurcation Diagram Periodic Point 
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.

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Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • Saber N. Elaydi
    • 1
  1. 1.Department of MathematicsTrinity UniversitySan AntonioUSA

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