On the formal integrability problem for planar differential systems
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Publication:369973
DOI10.1155/2013/482305zbMath1282.34005OpenAlexW1986611571WikidataQ58916386 ScholiaQ58916386MaRDI QIDQ369973
Antonio Algaba, Jaume Giné, Cristóbal García
Publication date: 19 September 2013
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2013/482305
Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Explicit solutions, first integrals of ordinary differential equations (34A05) Invariant manifolds for ordinary differential equations (34C45)
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The solution of the \(1:-3\) resonant center problem in the quadratic case ⋮ Integrability Conditions for Complex Homogeneous Kukles Systems ⋮ Integrability of complex planar systems with homogeneous nonlinearities ⋮ A BLOW-UP METHOD TO PROVE FORMAL INTEGRABILITY FOR SOME PLANAR DIFFERENTIAL SYSTEMS ⋮ Integrability conditions of a resonant saddle in Liénard-like complex systems ⋮ Blow-up method to compute necessary conditions of integrability for planar differential systems ⋮ Integrability of Lotka–Volterra Planar Complex Cubic Systems ⋮ Integrability conditions of a weak saddle in a complex polynomial differential system
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