On the number of limit cycles of a pendulum-like equation with two switching lines

DOI10.1016/j.chaos.2021.111092zbMath1498.34091OpenAlexW3167267690MaRDI QIDQ2145434

Jihua Yang

Publication date: 17 June 2022

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2021.111092

zbMATH Keywords

limit cyclegenerating functionMelnikov functioncomplete elliptic integralpendulum equation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcations and instability for nonlinear problems in mechanics (70K50) Discontinuous ordinary differential equations (34A36) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items

The limit cycle bifurcations of a whirling pendulum with piecewise smooth perturbations, Bifurcation of periodic orbits and its application for high-dimensional piecewise smooth near integrable systems with two switching manifolds

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