On the number of limit cycles of a monodromic polynomial vector field on the plane
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Publication:2342252
DOI10.1134/S0081543806030114zbMath1351.34031MaRDI QIDQ2342252
Publication date: 11 May 2015
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
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) Dynamics induced by flows and semiflows (37C10)
Cites Work
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- Mathematical problems for the next century
- Double exponential estimate for the number of zeros of complete Abelian integrals and rational envelopes of linear ordinary differential equations with an irreducible monodromy group
- Counting real zeros of analytic functions satisfying linear ordinary differential equations
- Hilbert-type numbers for Abel equations, growth and zeros of holomorphic functions
- Centennial History of Hilbert's 16th Problem
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