Darboux polynomials, balances and Painlevé property

DOI10.1134/S1560354717050057zbMath1387.34001OpenAlexW2760172713MaRDI QIDQ1695070

Claudia Valls, Jaume Llibre

Publication date: 6 February 2018

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354717050057

zbMATH Keywords

Painlevé propertyDarboux polynomialKovalevskaya exponents

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Explicit solutions, first integrals of ordinary differential equations (34A05) Dynamics induced by flows and semiflows (37C10)

Related Items

A survey on the Kovalevskaya exponents and their applications

Cites Work

• Unnamed Item
• A criterion for the nonexistence of an additional analytic integral in Hamiltonian systems with \(n\) degrees of freedom
• On non-integrability of general systems of differential equations
• Qualitative theory of planar differential systems
• Analytical solutions of the Lorenz system
• On the existence of polynomial first integrals of quadratic homogeneous systems of ordinary differential equations
• Polynomial first integrals for quasi-homogeneous polynomial differential systems
• A note on Kowalevski exponents and the non-existence of an additional analytic integral
• Necessary condition for the existence of algebraic first integrals
• Necessary condition for the existence of algebraic first integrals