Limit cycle bifurcations by perturbing a class of integrable systems with a polycycle

DOI10.1016/j.jmaa.2014.03.091zbMath1318.34050OpenAlexW2002520550MaRDI QIDQ489072

Mao'an Han, Yan-Qin Wang

Publication date: 27 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.03.091

zbMATH Keywords

Melnikov functionheteroclinic looplimit cycle bifurcationnear-integrable system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (6)

Limit cycle bifurcations by perturbing a quadratic integrable system with a triangle ⋮ The maximal number of limit cycles bifurcating from a Hamiltonian triangle in quadratic systems ⋮ A linear estimate of the number of limit cycles for a piecewise smooth near-Hamiltonian system ⋮ On the limit cycles of perturbed discontinuous planar systems with 4 switching lines ⋮ Bifurcation of limit cycles by perturbing a piecewise linear Hamiltonian system ⋮ On the Limit Cycles of a Perturbed Z₃-Equivariant Planar Quintic Vector Field

Cites Work

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• Bifurcation of a class of planar non-Hamiltonian integrable systems with one center and one homoclinic loop
• Bifurcation of limit cycles near polycycles with \(n\) vertices
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• Limit cycle bifurcations by perturbing a cuspidal loop in a Hamiltonian system
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• HOPF BIFURCATIONS FOR NEAR-HAMILTONIAN SYSTEMS
• Abelian integrals and limit cycles
• Unnamed Item

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