Perturbation from a cubic Hamiltonian with three figure eight-loops

DOI10.1016/j.chaos.2003.12.061zbMath1074.34039OpenAlexW1969016693MaRDI QIDQ1771494

Hong Zang, Wencheng Chen, Tonghua Zhang

Publication date: 21 April 2005

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2003.12.061

zbMATH Keywords

limit cycleplanar polynomial vector fieldcubic Hamiltonian systemeight-loop

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) 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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