Abstract
We consider the global attractor Af for the semiflow generated by a scalar semilinear parabolic equation of the form ut = uxx + f(u, ux), defined on the circle, x 2 S1. Using a characterization of the period maps for planar Hamiltonian systems of the form u00 + g(u) = 0 we discuss questions related to the topological equivalence between global attractors.
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