Eighteen limit cycles around two symmetric foci in a cubic planar switching polynomial system

DOI10.1016/j.jde.2020.11.001zbMath1482.34099OpenAlexW3106253377MaRDI QIDQ828331

Pei Yu, Xiang Zhang, Mao'an Han

Publication date: 8 January 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2020.11.001

zbMATH Keywords

limit cycleLyapunov constantswitching system\(Z_2\)-equivariant systembi-center

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Symmetries, invariants of ordinary differential equations (34C14) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Discontinuous ordinary differential equations (34A36)

Related Items (6)

Twenty-Six Crossing Limit Cycles Around One Singular Point in a Cubic Switching System ⋮ Limit Cycles of a Class of Discontinuous Piecewise Differential Systems Separated by the Curve y = xn Via Averaging Theory ⋮ Local cyclicity and criticality in FF-type piecewise smooth cubic and quartic Kukles systems ⋮ Bifurcation Analysis for a Class of Cubic Switching Systems ⋮ On the uniqueness of limit cycles for generalized Liénard systems ⋮ Limit cycles in a switching Liénard system

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