Preprint of the project: SFB 343: Discrete structures in mathematics

Topics in numerical linear algebra and discrete dynamical systems

00-004 Thorsten Hüls, Yong-Kui Zou.
Polynomial Estimates and Discrete Saddle-node Homoclinic Orbits

We derive polynomial rates of convergence for obits of maps that converge to an equilibrium via the center manifold. Similar estimates are obtained for the variational equation along these orbits. We show how these results apply to the analysis of discrete saddle-node homoclinics.