The Bianchi IX (mixmaster) cosmological model is not integrable

DOI10.1016/0375-9601(94)00732-5zbMath0959.83508arXivchao-dyn/9409002OpenAlexW3106135857MaRDI QIDQ1965045

Yanyan Li

Publication date: 6 February 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/chao-dyn/9409002

Mathematics Subject Classification ID

Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (19)

A review of the ``Third integral ⋮ Kovalevski Exponents and Integrability Properties in Class A Homogeneous Cosmological Models ⋮ Bianchi IX dynamics in bouncing cosmologies: homoclinic chaos and the BKL conjecture ⋮ Chaos hidden behind time parametrization in the mixmaster cosmology ⋮ Mixmaster model associated to a Borcherds algebra ⋮ Chaos and quantum chaos in cosmological models ⋮ On the absence of analytic integrability of the Bianchi Class B cosmological models ⋮ Features of the primordial Universe in f(R)-gravity as viewed in the Jordan frame ⋮ Implementation of the Painlevé test for ordinary differential systems ⋮ Analytic integrability of Bianchi class A cosmological models with \(k=1\) ⋮ Revisitation of chaos in Bianchi IX Universe and in generalized scalar--tensor cosmologies. ⋮ A solution to Einstein's equations for the mixmaster universe in complex general relativity ⋮ Integrability and chaos in Kaluza-Klein theories ⋮ On the non-integrability of the \(\text{SU}(2)\) invariant Kähler-Einstein metrics ⋮ Evidence of a natural boundary and nonintegrability of the mixmaster universe model ⋮ Compact invariant sets of the Bianchi VIII and Bianchi IX Hamiltonian systems ⋮ Nonintegrability of Bianchi VIII Hamiltonian system ⋮ Nonintegrability of the Bianchi IX model ⋮ Quantum cosmology of Bianchi VIII, IX LRS geometries

Cites Work

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• A numerical analysis of chaotic behaviour in Bianchi IX models
• A perturbative Painlevé approach to nonlinear differential equations
• The Mixmaster cosmology as a dynamical system
• Magnetohydrodynamical model of pulsar rotation. Exact periodic solutions
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. II
• HOMOGENEOUS MODELS IN GENERAL RELATIVITY AND GAS DYNAMICS
• Reductions of self-dual Yang-Mills fields and classical systems
• The mixmaster universe model, revisited
• Mixmaster Universe
• Empty space-times admitting a three parameter group of motions

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