Geometric criterium in the center problem

DOI10.1007/s00009-015-0641-0zbMath1356.34035OpenAlexW1902374158MaRDI QIDQ727546

Jaume Giné, Antonio Algaba, Cristóbal García

Publication date: 7 December 2016

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10459.1/59434

zbMATH Keywords

degenerate center problemintegrability problemnonlinear differential systems

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05)

Related Items (7)

Monodromic nilpotent singular points with odd Andreev number and the center problem ⋮ Small-amplitude limit cycles of certain planar differential systems ⋮ New criterions on stability and order of analytic nilpotent foci ⋮ Center conditions to find certain degenerate centers with characteristic directions ⋮ The Poincaré map of degenerate monodromic singularities with Puiseux inverse integrating factor ⋮ Center problem for generic degenerate vector fields ⋮ Center problem with characteristic directions and inverse integrating factors

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