scientific article

zbMath1097.34025MaRDI QIDQ3371979

Yosef Yomdin, Miriam Briskin

Publication date: 22 February 2006

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

momentscompositionslimit cyclesAbel differential equationBautin ideals

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)

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Higher order Poincaré-Pontryagin functions and iterated path integrals ⋮ The monodromy problem and the tangential center problem ⋮ Linear versus non-linear acquisition of step-functions ⋮ Uniform upper bounds for the cyclicity of the zero solution of the Abel differential equation ⋮ Alien limit cycles in Abel equations ⋮ Cauchy-type integrals of algebraic functions ⋮ Center conditions at infinity for Abel differential equations ⋮ The composition conjecture for Abel equation ⋮ On polynomials orthogonal to all powers of a given polynomial on a segment

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