Integrability and the Painlevé property for low-dimensional systems

DOI10.1063/1.526240zbMath0553.34032OpenAlexW1991106803MaRDI QIDQ3346603

Alfred Ramani, Tassos C. Bountis, Bernadette Dorizzi, Basile Grammaticos

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1063/1.526240

zbMATH Keywords

Painlevé propertyintegrability

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Hamiltonian and Lagrangian mechanics (70H99) Dynamical systems and ergodic theory (37-XX)

Related Items

On the complete and partial integrability of non-Hamiltonian systems, The Painlevé-Kowalevski and Poly-Painlevé Tests for Integrability, Some remarks on the topology of hyperbolic actions of \(\mathbb{R}^n\) on \(n\)-manifolds, The weak-Painlevé property as a criterion for the integrability of dynamical systems, Weak-Painlevé property and integrability of general dynamical systems, Integrals of quadratic ordinary differential equations in \(\mathbb R^3\): the Lotka-Volterra system, On the singularity analysis of intersecting separatrices in near- integrable dynamical systems, Integrability and singularity structure of predator-prey system

Cites Work

• A theory of exact and approximate configurational invariants
• Explicit integrability for Hamiltonian systems and the Painlevé conjecture
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I