On the absence of analytic integrability of the Bianchi Class B cosmological models
DOI10.1063/1.4790828zbMath1319.83030OpenAlexW2091735772WikidataQ51235689 ScholiaQ51235689MaRDI QIDQ2944682
Antoni Ferragut, Jaume Llibre, Chara Pantazi
Publication date: 2 September 2015
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10234/84770
Relativistic cosmology (83F05) 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)
Cites Work
- Local integrability of the mixmaster model
- Analytic integrability of the Bianchi class A cosmological models with \(0 \leq k < 1\)
- The Bianchi IX (mixmaster) cosmological model is not integrable
- Bianchi \(A\) cosmological models as the simplest dynamical systems in \({\mathbb{R}}^4\)
- Bianchi cosmologies as dynamical systems
- Analytic integrability of Bianchi class A cosmological models with \(k=1\)
- Nonintegrability of Bianchi VIII Hamiltonian system
- Polynomial first integrals for quasi-homogeneous polynomial differential systems
- Formal and analytical integrability of the Bianchi IX system
- On the integrability of Bianchi cosmological models
- Kovalevski Exponents and Integrability Properties in Class A Homogeneous Cosmological Models
- The Bianchi VIII model is neither global analytic nor Darboux integrable
This page was built for publication: On the absence of analytic integrability of the Bianchi Class B cosmological models
