Compact invariant sets of the Bianchi VIII and Bianchi IX Hamiltonian systems

DOI10.1016/j.physleta.2011.06.064zbMath1252.83129OpenAlexW2059617486MaRDI QIDQ691868

Konstantin E. Starkov

Publication date: 4 December 2012

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2011.06.064

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Hamilton's equations (70H05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

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Cites Work

• Unnamed Item
• A closed-form solution in a dynamical system related to Bianchi IX
• Local integrability of the mixmaster model
• Dynamical systems and cosmology
• The Bianchi IX (mixmaster) cosmological model is not integrable
• Erratum: The Bianchi IX (mixmaster) cosmological model is not integrable
• Bianchi cosmologies as dynamical systems
• Localization of compact invariant sets of the Lorenz system
• The Bianchi models: then and now
• Nonintegrability of Bianchi VIII Hamiltonian system
• Integrability of the Bianchi IX system
• Formal and analytical integrability of the Bianchi IX system
• The mixmaster universe model, revisited
• The Bianchi VIII model is neither global analytic nor Darboux integrable
• On the dynamics of the Bianchi IX system

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