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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
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