Periodic orbits and non-integrability in a cosmological scalar field

DOI10.1063/1.3675493zbMath1273.83021OpenAlexW2020931652WikidataQ125965435 ScholiaQ125965435MaRDI QIDQ2853616

Jaume Llibre, Claudio Vidal

Publication date: 16 October 2013

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

Full work available at URL: http://hdl.handle.net/10533/132768

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55)

Related Items (8)

A perturbative analysis of interacting scalar field cosmologies ⋮ Existence and stability of periodic orbits for a Hamiltonian system with homogeneous potential of degree five ⋮ Scalar Field Evolution at Background and Perturbation Levels for a Broad Class of Potentials ⋮ Stability of equilibrium solutions of Hamiltonian systems with \(n\)-degrees of freedom and single resonance in the critical case ⋮ Horseshoes and invariant tori in cosmological models with a coupled field and non-zero curvature ^* ⋮ Periodic orbits associated to Hamiltonian functions of degree four ⋮ On the integrability of a three-dimensional cored galactic Hamiltonian ⋮ On the analytic integrability of the cored galactic Hamiltonian

Cites Work

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• Integrability and non-integrability in Hamiltonian mechanics
• Integrability of Hamiltonian systems and differential Galois groups of higher variational equations
• Global integrability of cosmological scalar fields
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• Non-integrability proof of the frozen planetary atom configuration
• On the number of isolating integrals in perturbed Hamiltonian systems with n>or=3 degrees of freedom
• Periodic orbits and nonintegrability of generalized classical Yang–Mills Hamiltonian systems
• On the integrability of Friedmann–Robertson–Walker models with conformally coupled massive scalar fields
• Forgotten and neglected theories of Poincaré
• Differential Galois theory and non-integrability of Hamiltonian systems

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