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

Li Jibin; Liu Zhenrong — 1991

Publicacions Matemàtiques

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 posed by V. I. Arnold in 1977.

Travelling wave solutions for the Painlevé-integrable coupled KdV equations.

Li, Jibin; Lin, Xiao-Biao — 2008

Electronic Journal of Differential Equations (EJDE) [electronic only]

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