On the extensions of the Darboux theory of integrability

DOI10.1088/0951-7715/26/8/2221zbMath1322.34004OpenAlexW1975471380MaRDI QIDQ2845635

Maite Grau, Jaume Llibre, Jaume Giné

Publication date: 2 September 2013

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/150592

zbMATH Keywords

Darboux theory of integrabilitysystems of differential equations

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Explicit solutions, first integrals of ordinary differential equations (34A05) Invariant manifolds for ordinary differential equations (34C45)

Related Items (10)

An inverse approach to the center-focus problem for polynomial differential system with homogenous nonlinearities ⋮ Liouvillian integrability of polynomial differential systems ⋮ Liouvillian integrability versus Darboux polynomials ⋮ Formal Weierstrass integrability for a Liénard differential system ⋮ An inverse approach to the center problem ⋮ Formal Weierstrass Nonintegrability Criterion for Some Classes of Polynomial Differential Systems in ℂ2 ⋮ Determination of Nonchaotic Behavior for Some Classes of Polynomial Jerk Equations ⋮ Invariant surfaces and Darboux integrability for non-autonomous dynamical systems in the plane ⋮ Nonchaotic Behavior in Quadratic Three-Dimensional Differential Systems with a Symmetric Jacobian Matrix ⋮ Puiseux integrability of differential equations

This page was built for publication: On the extensions of the Darboux theory of integrability