Analytic Integrability of Two Lopsided Systems

DOI10.1142/S0218127416500267zbMath1334.34004arXiv1506.01576MaRDI QIDQ2800715

Yi-rong Liu, Feng Li, Pei Yu

Publication date: 18 April 2016

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.01576

zbMATH Keywords

Lyapunov constantrotated vector fieldanalytic integrabilitynilpotent Poincaré systems

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Explicit solutions, first integrals of ordinary differential equations (34A05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Related Items (3)

Analytic Integrability of Two Lopsided Systems ⋮ Limit cycle bifurcations and analytic center conditions for a class of generalized nilpotent systems ⋮ New Double Bifurcation of Nilpotent Focus

Cites Work

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