On the limit cycles of polynomial differential systems with homogeneous nonlinearities

DOI10.1017/S0013091500021179zbMath0974.34029OpenAlexW2042903579MaRDI QIDQ4525854

Jaume Llibre, Chengzhi Li, Weigu Li, Zhi-Fen Zhang

Publication date: 4 December 2001

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091500021179

zbMATH Keywords

periodic orbitslimit cyclesAbel equationnon-Hamiltonian systemshomogeneous nonlinearities

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

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