Nonintegrabilty of a Halphen system

DOI10.1007/s11232-014-0219-1zbMath1326.34017OpenAlexW2102393935MaRDI QIDQ499402

Jaume Llibre, Claudia Valls

Publication date: 30 September 2015

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/150694

zbMATH Keywords

analytic first integralHalphen system

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Explicit solutions, first integrals of ordinary differential equations (34A05)

Cites Work

• Unnamed Item
• Unnamed Item
• On the non-integrability of a generalized Darboux Halphen system
• A family of isochronous foci with Darboux first integral
• Darboux theory of integrability for polynomial vector fields in taking into account the multiplicity at infinity
• A simple example of modular forms as tau-functions for integrable equations
• On foundation of the generalized Nambu mechanics
• Integrable and near-integrable dynamical systems associated with Bianchi IX metrics
• On the algebraic non-integrability of the Halphen system
• Darboux theory of integrability in \(\mathbb C^n\) taking into account the multiplicity
• Qualitative theory of planar differential systems
• Analytic first integrals of the Halphen system
• Polynomial first integrals for quasi-homogeneous polynomial differential systems
• Integrability of the Bianchi IX system