Bifurcations of limit cycles from cubic Hamiltonian systems with a center and a homoclinic saddle-loop

被引：7

作者：

Zhao, YL ^{[1
]}

Zhang, ZF

机构：

[1] Zhongshan Univ, Dept Math, Guangzhou 510275, Peoples R China

[2] Peking Univ, Dept Math, Beijing 100871, Peoples R China

来源：

PUBLICACIONS MATEMATIQUES | 2000年 / 44卷 / 01期

关键词：

D O I：

10.5565/PUBLMAT_44100_08

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is proved in this paper that the maximum number of limit cycles of system integral dx/dt = y, dy/dt = kx - (k+1)x(2) + x(3) +epsilon>(*) over bar *(alpha + betax gamma alpha (2))y is equal to two in the finite plane, where k > 11+root 33/4, 0 < /<epsilon>/ much less than 1, /alpha/ + /beta/ + /gamma/ not equal 0 This is partial answer to the seventh question in [2], posed by Arnold.

引用

页码：205 / 235

页数：31

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