While computational techniques for low-codimension local bifurcations in few-degree-of-freedom systems are in advanced state of development, much work remains to be done on the numerical treatment of higher-codimension singularities. More importantly, there is a pressing need for the development of numerical methods for computing global objects in phase space, their interactions and bifurcations.

For this workshop we brought together mathematicians, numerical analysts and computer scientists working on these problems, and studied a selected set of important applications. Particular topics considered included the numerical computation of invariant manifolds (including invariant tori, homoclinic and heteroclinic manifolds as well as inertial manifolds), the detection of their bifurcations and their visualization.

The Geometry Center was involved in this workshop.

Click on the titles to find abstracts and/or links to presentation materials

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