Bifurcation set and limit cycles forming compound eyes in a perturbed Hamiltonian system.

Jibin, Li, and Zhenrong, Liu. "Bifurcation set and limit cycles forming compound eyes in a perturbed Hamiltonian system.." Publicacions Matemàtiques 35.2 (1991): 487-506. <http://eudml.org/doc/41708>.

@article{Jibin1991,
abstract = {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.},
author = {Jibin, Li, Zhenrong, Liu},
journal = {Publicacions Matemàtiques},
keywords = {limit cycles; Hilbert 16th problem; perturbation; Hamiltonian cubic system; finite critical points},
language = {eng},
number = {2},
pages = {487-506},
title = {Bifurcation set and limit cycles forming compound eyes in a perturbed Hamiltonian system.},
url = {http://eudml.org/doc/41708},
volume = {35},
year = {1991},
}

TY - JOUR
AU - Jibin, Li
AU - Zhenrong, Liu
TI - Bifurcation set and limit cycles forming compound eyes in a perturbed Hamiltonian system.
JO - Publicacions Matemàtiques
PY - 1991
VL - 35
IS - 2
SP - 487
EP - 506
AB - 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.
LA - eng
KW - limit cycles; Hilbert 16th problem; perturbation; Hamiltonian cubic system; finite critical points
UR - http://eudml.org/doc/41708
ER -