Berg, G.J.B. van den

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Research Statement

I work on nonlinear partial differential equations and dynamical systems, often leading to pattern formation. I am interested in developing mathematical methods for such problems, with an open mind for applications. Subjects include (formal) asymptotic techniques, (rigorous) computational methods, the harmonic map heat flow (and other geometric flows), Hamiltonian systems, fourth order differential equations, biomathematics, periodically modulated travelling waves, Conley index and Floer homology. I especially enjoy topological and variational methods.