Limit cycles for the class of \(D\)-dimensional polynomial differential systems

DOI10.1155/2016/1868027zbMath1435.34034DBLPjournals/jam/DiabM16OpenAlexW2295186892WikidataQ59125181 ScholiaQ59125181MaRDI QIDQ670224

Amar Makhlouf, Zouhair Diab

Publication date: 18 March 2019

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

Full work available at URL: https://doi.org/10.1155/2016/1868027

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)

Cites Work

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• Limit cycles for a class of three-dimensional polynomial differential systems
• Higher order averaging theory for finding periodic solutions via Brouwer degree
• Limit cycles of some polynomial differential systems in dimension 2, 3 and 4, via averaging theory
• Averaging methods in nonlinear dynamical systems
• Averaging analysis of a perturbated quadratic center

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