Some lower bounds for h(n) in Hilbert's 16th problem
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 345-360 |
| Journal / Publication | Qualitative Theory of Dynamical Systems |
| Volume | 3 |
| Issue number | 2 |
| Publication status | Published - 2002 |
Link(s)
Abstract
For some perturbed Z2-(or Z4-)equivariant planar Hamiltonian vector field sequnces of degree n (n = 2k - 1 and n = 3 × 2k-1 - 1, k = 2, 3,...), some new lower bounds for H(n) in Hilbert's 16th problem and configurations of compound eyes of limit cycles are given, by using the bifurcation theory of planar dynamical systems and the quadruple transformation method given by Christopher and Lloyd. It gives rise to more exact results than Ref.[6].
Research Area(s)
- Distributions of limit cycles, Hilbert's 16th problem, Perturbed planar hamiltonian systems, Second bifurcation
Citation Format(s)
Some lower bounds for h(n) in Hilbert's 16th problem. / Li, Jibin; Chan, H. S Y; Chung, K. W.
In: Qualitative Theory of Dynamical Systems, Vol. 3, No. 2, 2002, p. 345-360.
In: Qualitative Theory of Dynamical Systems, Vol. 3, No. 2, 2002, p. 345-360.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
