Numerical Analysis of equivariant evolution equations
11-011 Thorsten Hüls, Yongkui Zou.
A note on computing heteroclinic
trajectories of non-autonomous maps
We propose an adequate notion of a heteroclinic trajectory in
non-autonomous systems that generalizes the notion of a
heteroclinic orbit of an autonomous system. A heteroclinic
trajectory connects two families of semi-bounded trajectories
that are bounded in backward and forward time. We apply
boundary value techniques for computing one representative of
each family. These approximations allow the construction of
projection boundary conditions that enable the calculation of a
heteroclinic trajectory with high accuracy. The resulting
algorithm is applied to a non-autonomous version
of Hénon's map.
