Integrability of planar nilpotent differential systems through the existence of an inverse integrating factor

DOI10.1016/j.cnsns.2018.09.018zbMath1464.34006OpenAlexW2892291163WikidataQ129226520 ScholiaQ129226520MaRDI QIDQ2207312

Jaume Giné, Cristóbal García, Antonio Algaba

Publication date: 22 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10459.1/65974

zbMATH Keywords

inverse integrating factoranalytic integrabilitynilpotent singular points

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)

Related Items (5)

Monodromic nilpotent singular points with odd Andreev number and the center problem ⋮ On the integrability problem for the Hopf-zero singularity and its relation with the inverse Jacobi multiplier ⋮ Center cyclicity for some nilpotent singularities including the ℤ2-equivariant class ⋮ Quasi-homogeneous linearization of degenerate vector fields ⋮ A new normal form for monodromic nilpotent singularities of planar vector fields

Uses Software

• SINGULAR
• primdec

Cites Work

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