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Phys. Rev. D 44, 2369–2374 (1991)

Chaos in mixmaster models

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Marek Szydłowski
Astronomical Observatory, Jagellonian University, Orla 171, 30-244 Cracow, Poland

Marek Biesiada
Copernicus Astronomical Center, Bartycka 18, 00-716 Warsaw, Poland

Received 31 October 1990; revised 22 April 1991; published in the issue dated 15 October 1991

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.

© 1991 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.44.2369
DOI:
10.1103/PhysRevD.44.2369
PACS: