Cyclicity of some analytic maps

被引：3
|
作者：
Mencinger, Matej [1 ,2 ]
Fercec, Brigita [3 ,4 ]
Oliveira, Regilene [5 ]
Pagon, Dusan [6 ]
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, SI-2000 Maribor, Slovenia
[5] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Ave Trabalhador Sao Carlense 400, BR-13566590 Sao Carlos, SP, Brazil
[6] Univ Maribor, Fac Nat Sci & Math, Koroska 160, SLO-2000 Maribor, Slovenia
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2017年 / 295卷
关键词：
Discrete dynamical systems; Polynomial maps; Periodic points; Limit cycles; Cyclicity; HILBERTS 16TH PROBLEM; CUBIC SYSTEMS; BIFURCATIONS; ALGEBRA;
D O I：
10.1016/j.amc.2016.09.026
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we describe an approach to estimate the cyclicity of centers in maps given by f(x) = -x - Sigma(infinity)(k=1) a(k)x(k+1). The main motivation for this problem originates from the study of cyclicity of planar systems of ODEs. We also consider the bifurcation of limit cycles from each component of the center variety of some particular cases of maps f(x) = -x - E(k=1)(infinity)a(k)x(k+1) arising from algebraic equations of the form x+y+h.o.t. = 0 where higher order terms up to degree four are present. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：114 / 125
页数：12
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