Simultaneous integrability and non-linearizability at arbitrary double weak saddles and sole weak focus of a cubic Liénard system
DOI10.1016/j.chaos.2022.112197zbMath1504.34077OpenAlexW4281381727MaRDI QIDQ2113021
Cui Zhang, Jinling Yan, Feng Li, Yusen Wu
Publication date: 12 January 2023
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2022.112197
cubic Liénard systemdouble weak saddlessimultaneous integrability and non-linearizabilitysole weak focus
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Bifurcation theory for ordinary differential equations (34C23) 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)
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