Algebraic nonsolvability andalmost algebraic solvability of the center- focus problem

DOI10.1007/BF01077875zbMath0267.34025OpenAlexW2002846815MaRDI QIDQ2562956

Yulij S. Ilyashenko

Publication date: 1973

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01077875

Mathematics Subject Classification ID

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

Related Items (12)

The problem of center for resonant singular points of polynomial vector fields ⋮ The center problem. A view from the normal form theory ⋮ System without characteristic directions with a nonanalytic center condition ⋮ Analytic integrability and characterization of centers for generalized nilpotent singular points. ⋮ Center conditions: Rigidity of logarithmic differential equations. ⋮ The problem of distinguishing between a centre and a focus in the space of vector fields with given Newton diagram ⋮ On some open problems in planar differential systems and Hilbert's 16th problem ⋮ A method for characterizing nilpotent centers ⋮ The problem of distinguishing between a center and a focus for nilpotent and degenerate analytic systems ⋮ On the multiplicity of algebraic limit cycles ⋮ Singularities of vector fields on the plane ⋮ Unnamed Item

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