Centers and Limit Cycles of a Generalized Cubic Riccati System

DOI10.1142/S0218127420500212zbMath1445.34054arXiv1706.00099OpenAlexW3011530321MaRDI QIDQ5222620

Zhengxin Zhou, Valery G. Romanovski, Jiang Yu

Publication date: 6 April 2020

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

Full work available at URL: https://arxiv.org/abs/1706.00099

zbMATH Keywords

centerlimit cyclecyclicity

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) 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) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (1)

Linearizability and critical period bifurcations of a generalized Riccati system

Uses Software

• SINGULAR
• primdec

Cites Work

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