Bifurcation set and limit cycles forming compound eyes in a perturbed Hamiltonian system.
Jibin, Li ; Zhenrong, Liu
Publicacions Matemàtiques, Tome 35 (1991), p. 487-506 / Harvested from Biblioteca Digital de Matemáticas
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In this paper we consider a class of perturbation of a Hamiltonian cubic system with 9 finite critical points. Using detection functions, we present explicit formulas for the global and local bifurcations of the flow. We exhibit various patterns of compound eyes of limit cycles. These results are concerned with the weakened Hilbert's 16th problem posed by V. I. Arnold in 1977.

Publié le : 1991-01-01
DMLE-ID : 4202 
@article{urn:eudml:doc:41708,
     title = {Bifurcation set and limit cycles forming compound eyes in a perturbed Hamiltonian system.},
     journal = {Publicacions Matem\`atiques},
     volume = {35},
     year = {1991},
     pages = {487-506},
     mrnumber = {MR1201571},
     zbl = {0749.58045},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41708}
}

Jibin, Li; Zhenrong, Liu. Bifurcation set and limit cycles forming compound eyes in a perturbed Hamiltonian system.. Publicacions Matemàtiques, Tome 35 (1991) pp. 487-506. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41708/