A numerical analysis of chaotic behaviour in Bianchi IX models

DOI10.1007/BF00756280zbMath0698.58045MaRDI QIDQ912456

A. B. Burd, George F. R. Ellis, Nikola Buric

Publication date: 1990

Published in: General Relativity and Gravitation (Search for Journal in Brave)

zbMATH Keywords

chaotic behaviourLyapunov exponentBianchi IX cosmological models

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (17)

On the non-integrability of a generalized Darboux Halphen system ⋮ (Non)Invariance of dynamical quantities for orbit equivalent flows ⋮ Features of the primordial Universe in f(R)-gravity as viewed in the Jordan frame ⋮ Classical dynamics of the Bianchi IX model with timelike singularity ⋮ CLASSICAL AND QUANTUM FEATURES OF THE MIXMASTER SINGULARITY ⋮ The Bianchi IX (mixmaster) cosmological model is not integrable ⋮ On general and restricted covariance in general relativity ⋮ Evidence of a natural boundary and nonintegrability of the mixmaster universe model ⋮ Computational cosmology: from the early universe to the large scale structure ⋮ Numerical approaches to spacetime singularities ⋮ The Einstein-Vlasov system/kinetic theory ⋮ Numerical approaches to spacetime singularities ⋮ Computational cosmology: from the early universe to the large scale structure ⋮ Integrability of the Bianchi IX system ⋮ Formal and analytical integrability of the Bianchi IX system ⋮ Physical and relativistic numerical cosmology ⋮ Some homogeneous Bianchi type IX viscous fluid cosmological models with a varying \(\Lambda\)

Cites Work

• Chaos in the long-term behavior of some Bianchi-type VIII models
• Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. I: Theory
• A class of homogeneous cosmological models
• A Numerical Approach to Ergodic Problem of Dissipative Dynamical Systems
• Mixmaster Universe
• The nature of turbulent motion at large wave-numbers
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