Limit cycles bifurcated from some \(Z_4\)-equivariant quintic near-Hamiltonian systems

DOI10.1155/2014/792439zbMath1474.34237OpenAlexW2024651876WikidataQ59041524 ScholiaQ59041524MaRDI QIDQ1724986

Cangxin Tang, Simin Qu, Feng-Li Huang, Xian Bo Sun

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/792439

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Related Items (2)

Simultaneity of centres in ℤ _q -equivariant systems ⋮ Bifurcations of limit cycles in equivariant quintic planar vector fields

Cites Work

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• On the limit cycles of a Hamiltonian under \(Z_4\)-equivariant quintic perturbation
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• ASYMPTOTIC EXPANSIONS OF MELNIKOV FUNCTIONS AND LIMIT CYCLE BIFURCATIONS
• Abelian integrals and limit cycles

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