The limit cycle bifurcations of a whirling pendulum with piecewise smooth perturbations

DOI10.1007/s10473-024-0319-4OpenAlexW4391819503MaRDI QIDQ6152134

Jihua Yang

Publication date: 11 March 2024

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10473-024-0319-4

zbMATH Keywords

limit cycleChebyshev systemMelnikov functionPicard-Fuchs equationwhirling pendulum

Mathematics Subject Classification ID

Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

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