A KIND OF BIFURCATION OF LIMIT CYCLES FROM A NILPOTENT CRITICAL POINT

DOI10.11948/2018.10zbMath1459.34097arXiv1601.02826OpenAlexW2963571672MaRDI QIDQ5147794

Tao Liu, Feng Li, Yi-rong Liu

Publication date: 28 January 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.02826

zbMATH Keywords

bifurcationlimit cyclenilpotent critical point

Mathematics Subject Classification ID

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)

Related Items (4)

A complete classification on the center-focus problem of a generalized cubic Kukles system with a nilpotent singular point ⋮ SIXTEEN LARGE-AMPLITUDE LIMIT CYCLES IN A SEPTIC SYSTEM ⋮ Integrability and multiple limit cycles in a predator-prey system with fear effect ⋮ Integrability and limit cycles in cubic Kukles systems with a nilpotent singular point

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