Upper bounds on the number of limit cycles in generalized Liénard equations of odd type

DOI10.1134/S106456241002002XzbMath1218.34036OpenAlexW2063035525WikidataQ114074942 ScholiaQ114074942MaRDI QIDQ606539

G. A. Kolyutsky

Publication date: 17 November 2010

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s106456241002002x

zbMATH Keywords

Liénard systemlimit cycleHilbert's 16-th problem

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)

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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