Dynamics of First-Order Difference Equations

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


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
$$x(n + 1) = f(x(n))$$


Equilibrium Point Difference Equation Asymptotic Stability Bifurcation Diagram Periodic Point 
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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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