An upper estimate for the number of limit cycles of even-degree Liénard equations in the focus case

DOI10.1007/s10883-011-9117-0zbMath1221.34080arXiv0911.3516OpenAlexW2094133493MaRDI QIDQ548714

G. Kolutsky

Publication date: 30 June 2011

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.3516

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)

Related Items (3)

Non-existence and uniqueness of limit cycles in a class of generalized Liénard equations ⋮ Hilbert's sixteenth problem for polynomial Liénard equations ⋮ Limit cycles of a class of generalized Liénard polynomial equations

Cites Work

• Unnamed Item
• Mathematical problems for the next century
• Counting real zeros of analytic functions satisfying linear ordinary differential equations
• Hilbert's 16th problem for classical Liénard equations of even degree
• More limit cycles than expected in Liénard equations
• Hilbert-type numbers for Abel equations, growth and zeros of holomorphic functions

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