Nonintegrability of Bianchi VIII Hamiltonian system

DOI10.1063/1.1351885zbMath1005.37057OpenAlexW2091206916WikidataQ104405146 ScholiaQ104405146MaRDI QIDQ2774860

Jean-Marie Strelcyn, Marek Szydłowski, Andrzej J. Maciejewski

Publication date: 26 February 2002

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

Full work available at URL: https://doi.org/10.1063/1.1351885

zbMATH Keywords

nonintegrabilityZiglin theoryBianchi VIII cosmological dynamical system

Mathematics Subject Classification ID

General relativity (83C99) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)

Related Items (10)

Non-integrability of flail triple pendulum ⋮ Mixmaster model associated to a Borcherds algebra ⋮ On the absence of analytic integrability of the Bianchi Class B cosmological models ⋮ On the Liouvillian solutions to the perturbation equations of the Schwarzschild black hole ⋮ Integrability of Hamiltonian systems and differential Galois groups of higher variational equations ⋮ Analytic integrability of Bianchi class A cosmological models with \(k=1\) ⋮ Integrable variational equations of non-integrable systems ⋮ Compact invariant sets of the Bianchi VIII and Bianchi IX Hamiltonian systems ⋮ The Bianchi VIII model is neither global analytic nor Darboux integrable ⋮ Non-integrability of ABC flow

Cites Work

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