@article{55b2ca51571e4fdf9aa76139cea54325, title = "Some lower bounds for h(n) in Hilbert's 16th problem", 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].", keywords = "Distributions of limit cycles, Hilbert's 16th problem, Perturbed planar hamiltonian systems, Second bifurcation", author = "Jibin Li and Chan, {H. S Y} and Chung, {K. W.}", year = "2002", doi = "10.1007/BF02969411", language = "English", volume = "3", pages = "345--360", journal = "Qualitative Theory of Dynamical Systems", issn = "1575-5460", publisher = "Springer Basel AG", number = "2", }