A JENSEN INEQUALITY FOR A FAMILY OF ANALYTIC FUNCTIONS AND AN ESTIMATE FOR THE AVERAGE NUMBER OF LIMIT CYCLES

DOI10.1112/S0024609302001704zbMath1037.34027OpenAlexW2286465710MaRDI QIDQ4418917

Alexander Brundnyi

Publication date: 2003

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024609302001704

zbMATH Keywords

databaselimit cyclepolynomial system16th Hilbert problem

Mathematics Subject Classification ID

Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (3)

Bernstein-Remez inequality for algebraic functions: a topological approach ⋮ Limit cycle enumeration in random vector fields ⋮ On local behavior of holomorphic functions along complex submanifolds of \(\mathbb C^{N}\)

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