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We consider the dynamics towards the initial singularity of Bianchi type IX vacuum and orthogonal perfect fluid models with a linear equation of state.
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Y. Elskens and M. Henneaux · 1987
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Deterministic Chaos in General Relativity
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Dynamical systems in cosmology
J. Wainwright and G.F.R. Ellis · 1997
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Chaos and Singularities in the Mixmaster Universe
Continued fractions from Euclid to the present day
P. Flajolet, B. Vallée, and I. Vardi · 2000
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Mixmaster chaos
A.E. Motter and P.S. Letelier · 2001
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The Bianchi IX attractor
H. Ringström · 2001
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Quiescent cosmological singularities
L. Andersson, A.D. Rendall · 2001
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Numerical Approaches to Spacetime Singularities
B.K. Berger · 2002
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Dynamical systems and cosmology
A.A. Coley · 2003
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C. Uggla, H. van Elst, J. Wainwright, and G.F.R. Ellis · 2003
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The mixmaster universe is chaotic
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Global dynamics of the mixmaster model
A.D. Rendall · 1997
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Continued Fractions
A.Ya. Khinchin · 1997
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The kinematical role of automorphisms in the orthonormal frame approach to Bianchi cosmology
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Cosmological billiards
T. Damour, M. Henneaux, and H. Nicolai · 2003
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Proof of the closed-universe-recollapse conjecture for diagonal Bianchi type IX cosmologies
X-f. Lin and R.M. Wald · 2003
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The speciality index as invariant indicator in the BKL mixmaster dynamics
C. Cherubini, D. Bine, M. Bruni, and Z. Perjes · 2005
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Asymptotic Silence of Generic Singularities
L. Andersson, H. van Elst, W.C. Lim, and C. Uggla · 2005
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Matter and dynamics in closed cosmologies
J.M. Heinzle, N. Rohr, and C. Uggla · 2005
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Asymptotic silence-breaking singularities
W.C. Lim, C. Uggla, and J. Wainwright · 2006
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A new proof of the Bianchi type IX attractor theorem
J.M. Heinzle and C. Uggla · 2009
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The cosmological billiard attractor
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