Non-orientable manifolds of periodic orbits

Hinke Osinga


This paper describes the adaptation of an algorithm for computing two-dimensional stable and unstable manifolds of vector fields (Krauskopf & Osinga, CHAOS 9(3), 1999) to non-orientable global manifolds of a periodic orbit. Such manifolds arise when the corresponding Floquet multiplier of the periodic orbit is negative.

GZIP copy of the ps paper (432KB)
Animation of a non-orientable manifold

Created by Hinke Osinga
Last modified: Wed Jan 19 14:41:12 2000