Article ID: | iaor20122223 |
Volume: | 55 |
Issue: | 7-8 |
Start Page Number: | 1998 |
End Page Number: | 2011 |
Publication Date: | Apr 2012 |
Journal: | Mathematical and Computer Modelling |
Authors: | Kulenovic M R S, Nurkanovic M |
Keywords: | programming: convex |
We investigate the global dynamics of solutions of competitive rational systems of difference equations in the plane. We show that the basins of attractions of different locally asymptotically stable equilibrium points are separated by the global stable manifolds of either saddle points or of non‐hyperbolic equilibrium points.