Limit cycles of a second-order differential equation

DOI10.1016/j.aml.2018.08.015zbMath1416.34021OpenAlexW2889091344WikidataQ115360802 ScholiaQ115360802MaRDI QIDQ1726531

Jaume Llibre, Ting Chen

Publication date: 20 February 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/199375

zbMATH Keywords

limit cycleaveraging theoryMathieu-Duffing type

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items (3)

Maximum number of limit cycles for generalized Kukles differential system ⋮ Estimating the number of limit cycles for one step perturbed homogeneous degenerate centers ⋮ On the maximum number of limit cycles for a piecewise smooth differential system

Cites Work

• Limit cycles for a variant of a generalized Riccati equation
• Periodic solution of a Mathieu-Duffing type equation
• Non-trivial periodic solutions of a non-linear Hill's equation with positively homogeneous term
• Centennial History of Hilbert's 16th Problem
• HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS
• A note on the periodic solutions of a Mathieu–Duffing type equations
• Periodic Solutions of Equations of Emarkov-Pinney Type
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