Mathematics – Dynamical Systems
Scientific paper
2011-06-05
Mathematics
Dynamical Systems
18 pages, 7 figures, to be submitted to Journal of Difference Equations and Applications
Scientific paper
Global asymptotic stability of rational difference equations is an area of research that has been well studied. In contrast to the many current methods for proving global asymptotic stability, we propose an algorithmic approach. The algorithm we summarize here employs the idea of contractions. Given a particular rational difference equation, defined by a function $Q$ which maps the $k+1$ dimensional real numbers to itself, we attempt to find an integer, $K$, for which $Q^K$ shrinks distances to the difference equation's equilibrium point. We state some general results that our algorithm has been able to prove, and also mention the implementation of our algorithm using Maple.
Hogan Emilie
Zeilberger Doron
No associations
LandOfFree
A New Algorithm for Proving Global Asymptotic Stability of Rational Difference Equations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A New Algorithm for Proving Global Asymptotic Stability of Rational Difference Equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A New Algorithm for Proving Global Asymptotic Stability of Rational Difference Equations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-388843