Limit cycles and isochronous centers in a class of ninth degree system

DOI10.1155/2013/762751zbMath1470.34086OpenAlexW2124843853WikidataQ58917402 ScholiaQ58917402MaRDI QIDQ2319093

Li Feng, Du Chaoxiong, Li Hongwei

Publication date: 16 August 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/762751

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

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• A new method to determine isochronous center conditions for polynomial differential systems.
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• A class of reversible cubic systems with an isochronous center
• A class of ninth degree system with four isochronous centers
• A STUDY ON THE EXISTENCE OF LIMIT CYCLES OF A PLANAR SYSTEM WITH THIRD-DEGREE POLYNOMIALS
• Isochronous centers of a linear center perturbed by fifth degree homogeneous polynomials
• Isochronous centers of cubic systems with degenerate infinity

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