Algorithmic analysis of local integrability

DOI10.1134/S1064562409010141zbMath1251.37051MaRDI QIDQ1760933

Alexander D. Bruno, Victor F. Edneral

Publication date: 15 November 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

ordinary differential equationsstationary pointYang-Mills systemnon-integrable system

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Normal forms for dynamical systems (37G05)

Related Items

Power geometry and elliptic expansions of solutions to the Painlevé equations ⋮ On Sufficient Conditions for Integrability of a Planar System of ODEs Near a Degenerate Stationary Point ⋮ On Integrability of a Planar ODE System Near a Degenerate Stationary Point

Cites Work

• On integrability of the Euler-Poisson equations
• Branching of solutions and the nonexistence of first integrals in Hamiltonian mechanics. II
• Local integrability of the Euler-Poisson equations