Geometric Transient Solutions of Autonomous Scalar Maps |
| |
Authors: | Shandelle M Henson J M Cushing |
| |
Institution: | Department of Mathematics , College of William and Mary , Williamsburg, VA, 23187 |
| |
Abstract: | Smooth autonomous scalar maps with locally asymptotically stable equilibria have families of asymptotically constant solutions which decay geometrically to the equilibria. Locally, all transients converging to the equilibria have this form. |
| |
Keywords: | Difference Equations Bifurcation Equilibria Stability Geometric Convergence |
|
|