Bifurcations of limit cycles in a Z3-equivariant planar vector field of degree 5

H. S Y Chan; K. W. Chung; Jibin Li

doi:10.1142/S0218127401003267

Author(s)

H. S Y Chan
K. W. Chung
Jibin Li

Related Research Unit(s)

Department of Mathematics

Detail(s)

Original language	English
Pages (from-to)	2287-2298
Journal / Publication	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume	11
Issue number	8
Publication status	Published - 2001

Link(s)

DOI	DOI https://doi.org/10.1142/S0218127401003267 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-0035537570&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(c3343e15-80e4-4e33-99e7-df4ce14a386f).html

Abstract

A concrete numerical example of Z₃-equivariant planar perturbed Hamiltonian vector field of fifth degree having 23 limit cycles and a configuration of compound eyes are given, by using the bifurcation theory of planar dynamical systems and the method of detection functions. It gives rise to the conclusion: the Hilbert number H(5) ≥ 23 for the second part of Hilbert's 16th problem.

Citation Format(s)

[ RIS ] [ BibTeX ]

Bifurcations of limit cycles in a Z₃-equivariant planar vector field of degree 5. / Chan, H. S Y; Chung, K. W.; Li, Jibin.

In: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Vol. 11, No. 8, 2001, p. 2287-2298.

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

Chan, HSY, Chung, KW & Li, J 2001, 'Bifurcations of limit cycles in a Z₃-equivariant planar vector field of degree 5', International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, vol. 11, no. 8, pp. 2287-2298. https://doi.org/10.1142/S0218127401003267

Chan, H. S. Y., Chung, K. W., & Li, J. (2001). Bifurcations of limit cycles in a Z₃-equivariant planar vector field of degree 5. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 11(8), 2287-2298. https://doi.org/10.1142/S0218127401003267

Chan HSY, Chung KW, Li J. Bifurcations of limit cycles in a Z₃-equivariant planar vector field of degree 5. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2001;11(8):2287-2298. doi: 10.1142/S0218127401003267

Chan, H. S Y ; Chung, K. W. ; Li, Jibin. / Bifurcations of limit cycles in a Z₃-equivariant planar vector field of degree 5. In: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2001 ; Vol. 11, No. 8. pp. 2287-2298.