Preprint of the project:
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.
