Bifurcation set and distribution of limit cycles for a class of cubic Hamiltonian system with higher-order perturbed terms

DOI10.1016/S0960-0779(99)00148-4zbMath0974.34038OpenAlexW1990636372MaRDI QIDQ1581730

Hongjun Cao, Zheng-Rong Liu, Zhu-jun Jing

Publication date: 8 October 2000

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

Full work available at URL: https://doi.org/10.1016/s0960-0779(99)00148-4

zbMATH Keywords

limit cyclesphase portraitsbifurcation diagramspolynomial vector fieldscubic Hamiltonian systemsweaken Hilbert 16th problem

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)

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Cites Work

• Bifurcations of limit cycles forming compound eyes in the cubic system
• Bifurcation set and limit cycles forming compound eyes in a perturbed Hamiltonian system
• BIFURCATION SETS AND DISTRIBUTIONS OF LIMIT CYCLES IN A HAMILTONIAN SYSTEM APPROACHING THE PRINCIPAL DEFORMATION OF A Z₄-FIELD
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