Completion of vector fields and the Painlevé property

DOI10.1016/0022-0396(92)90082-XzbMath0761.58043MaRDI QIDQ1188226

Alberto Baider

Publication date: 13 August 1992

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Painlevé propertycomplex analytic dynamical system

Mathematics Subject Classification ID

Normal forms for dynamical systems (37G05) Dynamical systems over complex numbers (37F99)

Cites Work

• A criterion for non-integrability of Hamiltonian systems with nonhomogeneous potentials
• Bifurcation of solutions and the nonexistence of first integrals in Hamiltonian mechanics. I
• The algebraic integrability of geodesic flow on SO(4)
• Painlevé property and geometry
• Monodromy and nonintegrability in complex Hamiltonian systems
• Branching of solutions and the nonexistence of first integrals in Hamiltonian mechanics. II
• Non-integrability of Hénon-Heiles system and a theorem of Ziglin
• Geometrical aspects of Ziglin's non-integrability theorem for complex Hamiltonian systems
• Completely integrable systems, Euclidean Lie algebras, and curves
• CONSTRUCTION OF CONSERVATION LAWS FOR LAX EQUATIONS: COMMENTS ON A PAPER BY G. WILSON
• Analytic structure of the Henon–Heiles Hamiltonian in integrable and nonintegrable regimes
• On Monodromy Groups of Second-Order Fuchsian Equations
• Necessary condition for the existence of algebraic first integrals
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