Investigations of bifurcations of limit cycles in Z2-equivariant planar vector fields of degree 5

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

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Detail(s)

Original languageEnglish
Pages (from-to)2137-2157
Journal / PublicationInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume12
Issue number10
Publication statusPublished - Oct 2002

Abstract

Some distributions of limit cycles of Z2-equivariant planar perturbed Hamiltonian polynomial vector fields of degree 5 are investigated. These include examples of specific Z2-equivariant fields and Z4-equivariant fields having up to 23 limit cycles. The configurations of compound eyes are also obtained by using the bifurcation theory of planar dynamical systems and the method of detection functions.

Research Area(s)

  • Hilbert's 16th problem, Limit cycles, Perturbed planar Hamiltonian systems, Second bifurcation

Citation Format(s)

Investigations of bifurcations of limit cycles in Z2-equivariant planar vector fields of degree 5. / Li, Jibin; Chan, H. S Y; Chung, K. W.

In: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Vol. 12, No. 10, 10.2002, p. 2137-2157.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal