Integrability and Non-Integrability of Planar Hamiltonian Systems of Cosmological Origin

DOI10.2991/jnmp.2001.8.s.35zbMath0979.83044OpenAlexW4253266155WikidataQ104405134 ScholiaQ104405134MaRDI QIDQ2732481

Andrzej J. Maciejewski, Marek Szydłowski

Publication date: 19 February 2002

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

Full work available at URL: https://doi.org/10.2991/jnmp.2001.8.s.35

zbMATH Keywords

integrabilityscalar fieldscosmological originFriedman-Robertson-Walker models

Mathematics Subject Classification ID

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)

Related Items (4)

Chaos around holographic Regge trajectories ⋮ Integrability of Hamiltonian systems and differential Galois groups of higher variational equations ⋮ Different faces of chaos in FRW models with scalar fields -- geometrical point of view ⋮ Non-integrability of ABC flow

Cites Work

• Existence of exponentially unstable periodic solutions and the non- integrability of homogeneous Hamiltonian systems
• A criterion for the non-existence of an additional integral in Hamiltonian systems with a homogeneous potential
• Differential Galois theory and non-integrability of Hamiltonian systems

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