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Hinke got introduced to quasiperiodically forced systems via Ulrike Feudel, University of Potsdam in Germany. They met at the third SIAM conference on Applications of Dynamical Systems at Snowbird, Utah, in 1995, because they were the only two women on the mailing list for sharing a hotel room!

	Boundary crisis
	This project started out as an investigation of the influence of invariant circles of saddle type in the quasiperiodically forced Hénon map. As such is was a direct application of the software developed in Hinke's PhD thesis for the computation of normally hyperbolic invariant manifolds. However, it turned out that the dynamics was mainly organised by the stable and unstable manifolds of this invariant circle. Together with Bernd Krauskopf, University of Bristol, Hinke developed a special Q2D algorithm to compute those manifolds up to a sufficiently long arclength. This research lead to the study of boundary crisis in quasiperiodically forced systems. The paper appeared in Physica D 141(1-2): 54-64, 2000.
	Multistability and nonsmooth bifurcations
	In an effort to test the algorithm for normally hyperbolic invariant manifolds, Hinke discovered the existence of pitchfork and saddle-node bifurcations of limit cycles in the quasiperiodically forced circle map. This started another project with Ulrike Feudel where they tried to find the complete bifurcation portrait in a three-dimensional parameter space of the quasiperiodically forced circle map restricted to the region near the main Arnol'd tongue (rotation number 0). During the workshop Beyond Quasiperiodicity: Complex Structures and Dynamics at the Max Planck Institute for the Physics of Complex Systems in Dresden, Germany, Jan Wiersig and Paul Glendinning joined this project. The preprint of this work (to appear in Int. J. Bifurcation & Chaos) also discusses nonsmooth bifurcations and describes the unfolding of a nonsmooth codimension-2 bifurcation point.