Chaos in mixmaster models

Mathematics – Logic

Scientific paper

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Scientific paper

We apply the methods developed in our previous papers to investigate chaos in mixmaster cosmological models. We show that these models have an infinite relaxation time and zero Kolmogorov entropy near the singularity. Therefore they exhibit a power-law instability instead of an exponential one. From the point of view of ergodic theory these systems should be classified as the so-called K systems.

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