New configurations of 24 limit cycles in a quintic system

DOI10.1016/j.camwa.2007.08.034zbMath1153.37027OpenAlexW2074378824MaRDI QIDQ2483077

Yu-Hai Wu, Mao'an Han

Publication date: 5 May 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2007.08.034

zbMATH Keywords

stabilitylimit cyclesbifurcationMelnikov functiondouble homoclinic loops

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) 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 (5)

Bifurcations of limit cycles in equivariant quintic planar vector fields ⋮ Limit cycles bifurcated from some \(Z_4\)-equivariant quintic near-Hamiltonian systems ⋮ Codimension 2 bifurcation of twisted double homoclinic loops ⋮ On the perturbations of a Hamiltonian system ⋮ On the Limit Cycles of a Perturbed Z₃-Equivariant Planar Quintic Vector Field

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