Existence of 121 limit cycles in a perturbed planar polynomial Hamiltonian vector field of degree 11

DOI10.1016/j.chaos.2005.12.016zbMath1158.34022OpenAlexW2141310733MaRDI QIDQ939458

Sharon Wang, Pei Yu

Publication date: 22 August 2008

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.12.016

zbMATH Keywords

bifurcationlimit cycleMelnikov functioncyclicity16-th Hilbert's problem\(Z_q-\)equivariant Hamiltonian polynomial system

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) Periodic orbits of vector fields and flows (37C27)

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