Chaotic exit to inflation: the dynamics of pre-inflationary universes

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We show that anisotropic Bianchi type-IX models, with matter and cosmological constant have chaotic dynamics, connected to the presence of a saddle-center in phase space. The topology of cylinders emanating from unstable periodic orbits about the saddle-center provides an invariant characterization of chaos in the models. The model can be thought to describe the early stages of inflation, the way out to inflation being chaotic.
3 pages, Latex (mprocl.sty), 4 figures. To appear in the proceedings of the Eighth Marcel Grossmann Meeting, Jerusalem, June 1997

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