Bifurcations of limit cycles in a Z6-equivariant planar vector field of degree 5
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 22_Publication in policy or professional journal
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 817-826 |
| Journal / Publication | Science in China, Series A: Mathematics |
| Volume | 45 |
| Issue number | 7 |
| Publication status | Published - Jul 2002 |
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Abstract
A concrete numerical example of Z6-equivariant planar perturbed Hamiltonian polynomial vector fields of degree 5 having at least 24 limit cycles and the configurations of compound eyes are given by using the bifurcation theory of planar dynamical systems and the method of detection functions. There is reason to conjecture that the Hilbert number H(2k + 1) ≥ (2k + 1)2 - 1 for the perturbed Hamiltonian systems.
Research Area(s)
- Equivariant vector field, Hilbert's 16th problem, Limit cycle, Method of detection function, Polynomial system
Citation Format(s)
Bifurcations of limit cycles in a Z6-equivariant planar vector field of degree 5. / Li, Jibin; Chan, H. S. Y.; Chung, K. W.
In: Science in China, Series A: Mathematics, Vol. 45, No. 7, 07.2002, p. 817-826.
In: Science in China, Series A: Mathematics, Vol. 45, No. 7, 07.2002, p. 817-826.
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 22_Publication in policy or professional journal
