The Bianchi VIII model is neither global analytic nor Darboux integrable

DOI10.1063/1.3475537zbMath1309.83031OpenAlexW2052705571MaRDI QIDQ5245791

Jaume Llibre, Claudia Valls

Publication date: 15 April 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/226100

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics (70H07)

Related Items (5)

Integrability analysis of Muthuswamy-Chua-Ginoux system ⋮ On the absence of analytic integrability of the Bianchi Class B cosmological models ⋮ Analytic integrability of Bianchi class A cosmological models with \(k=1\) ⋮ On the dynamics of the Rayleigh-Duffing oscillator ⋮ Compact invariant sets of the Bianchi VIII and Bianchi IX Hamiltonian systems

Cites Work

• Multiplicity of invariant algebraic curves in polynomial vector fields
• Darboux theory of integrability for polynomial vector fields in taking into account the multiplicity at infinity
• Nonintegrability of Bianchi VIII Hamiltonian system
• Unnamed Item

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