An estimate of the number of limit cycles bifurcating from a planar integrable system

DOI10.1016/j.bulsci.2022.103118zbMath1498.37082OpenAlexW4220899528MaRDI QIDQ2123435

Shuhua Gong, Mao'an Han

Publication date: 8 April 2022

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2022.103118

zbMATH Keywords

averaging methodbifurcation of limit cyclespiecewise polynomial system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) 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)

Related Items (1)

Bifurcation of limit cycles of a piecewise smooth Hamiltonian system

Cites Work

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