Preprint des Projektes: SFB 701: Spektrale Strukturen und Topologische Methoden in der Mathematik - Projekt A2

Numerische Spektralanalyse unendlich-dimensionaler Transferoperatoren

09-008 Fritz Colonius, Thorsten Hüls, Martin Rasmussen.
Connecting orbits in perturbed systems

We apply Newton's method in perturbed non-autonomous differential equations to determine heteroclinic connections which do not exist for the underlying unperturbed system. This approach is particularly useful in a higher dimensional context, where the numerical computation of invariant manifolds is very expensive. A detailed discussion of a four-dimensional model is presented, which describes a pendulum coupled to a harmonic oscillator.