The center and cyclicity problems for some analytic maps

被引：1

作者：

Mencinger, Matej ^{[1
,2
]}

Fercec, Brigita ^{[3
,4
]}

机构：

[1] Univ Maribor, Fac Civil Engn Transportat Engn & Architecture, Smetanova 17, SLO-2000 Maribor, Slovenia

[2] Inst Math Phys & Mech, Jadranska 19, Ljubljana 1000, Slovenia

[3] Univ Maribor, Fac Energy Technol, Hocevarjev Trg 1, Krshko 8270, Slovenia

[4] Univ Maribor, Ctr Appl Math & Theoret Phys, Krekova 2, SLO-2000 Maribor, Slovenia

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2017年 / 306卷

关键词：

Discrete dynamical systems; Polynomial maps; Periodic points; Center variety; Cyclicity; CUBIC SYSTEMS; ALGEBRA;

D O I：

10.1016/j.amc.2017.02.033

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The center variety and bifurcations of limit cycles from the center for maps f(x) = -Sigma(infinity)(k=0) a(k)x(k+1) arising from x + y + Sigma(n)(j=0) alpha(n-j,j)x(n-j)y(j) = 0 are considered. Motivated by a general result for n = 2l + 1 we investigate the center and cyclicity problem for n being even. We review results for n = 2 and n = 4 and perform the analysis for n = 6, 8, 10. Finally, we state some conjectures for general n = 2l. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：73 / 85

页数：13

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