New Double Bifurcation of Nilpotent Focus

DOI10.1142/S021812742150053XzbMath1467.37048OpenAlexW4235470681MaRDI QIDQ5857901

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Publication date: 8 April 2021

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

Full work available at URL: https://doi.org/10.1142/s021812742150053x

zbMATH Keywords

bifurcationlimit cyclenilpotent singular point

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcations of singular points in dynamical systems (37G10) 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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A complete classification on the center-focus problem of a generalized cubic Kukles system with a nilpotent singular point, Nilpotent center conditions in cubic switching polynomial Liénard systems by higher-order analysis, Limit cycle bifurcations near a double 2-polycycle on the cylinder

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