A numerical method to calculate center manifolds of ode's

Abstract

In this paper we propose a numerical method to approximate the center manifold of an ordinary differential system. The approximation is determined as a projection of a center manifold on a finite dimensional subspace. The quality of the approximation depends only on the subspace and not on the distance to the equilibrium. An estimation of the error and numerical examples are included.

Keywords:

• Ordinary Differential Equations
• Dynamics
• central manifold
• iteration

^∗This work has been supported by a research grant of the VW–Foundation

^∗This work has been supported by a research grant of the VW–Foundation

Notes

^∗This work has been supported by a research grant of the VW–Foundation