Investigations of bifurcations of limit cycles in Z2-equivariant planar vector fields of degree 5
Related Research Unit(s)
|Journal / Publication||International Journal of Bifurcation and Chaos in Applied Sciences and Engineering|
|Publication status||Published - Oct 2002|
|Link to Scopus||https://www.scopus.com/record/display.uri?eid=2-s2.0-0036816841&origin=recordpage|
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.
- Hilbert's 16th problem, Limit cycles, Perturbed planar Hamiltonian systems, Second bifurcation
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
Li, J, Chan, HSY & Chung, KW 2002, 'Investigations of bifurcations of limit cycles in Z2-equivariant planar vector fields of degree 5', International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, vol. 12, no. 10, pp. 2137-2157. https://doi.org/10.1142/S0218127402005698