On the Number of Limit Cycles for Piecewise Polynomial Holomorphic Systems

被引:0
|
作者
Gasull, Armengol [1 ,2 ]
Rondón, Gabriel [3 ]
da Silva, Paulo Ricardo [3 ]
机构
[1] Departament de Matemàtiques, Edifici C, Universitat Autònoma de Barcelona, Bellaterra, Barcelona,08193, Spain
[2] Centre de Recerca Matemàtica, Campus de Bellaterra, Bellaterra, Barcelona,08193, Spain
[3] Institute of Biosciences, Humanities and Exact Sciences, São Paulo State University (Unesp), 2265, S. J. Rio Preto, São Paulo,CEP 15054-000, Brazil
来源
关键词
All Open Access; Green;
D O I
10.1137/23M1620922
中图分类号
学科分类号
摘要
Lyapunov functions
引用
收藏
页码:2593 / 2622
相关论文
共 50 条
  • [1] The number of limit cycles for regularized piecewise polynomial systems is unbounded
    Huzak, R.
    Kristiansen, K. Uldall
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 342 : 34 - 62
  • [2] Number of Limit Cycles from a Class of Perturbed Piecewise Polynomial Systems
    Chen, Xiaoyan
    Han, Maoan
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2021, 31 (09):
  • [3] Bifurcation of limit cycles at infinity in piecewise polynomial systems
    Chen, Ting
    Huang, Lihong
    Yu, Pei
    Huang, Wentao
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2018, 41 : 82 - 106
  • [4] On the number of limit cycles of polynomial Lienard systems
    Han, Maoan
    Romanovski, Valery G.
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2013, 14 (03) : 1655 - 1668
  • [5] The number of limit cycles for a family of polynomial systems
    Xiang, GH
    Han, MA
    Zhang, TH
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 49 (11-12) : 1669 - 1678
  • [6] On the number of limit cycles of a class of polynomial differential systems
    Llibre, Jaume
    Valls, Claudia
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2012, 468 (2144): : 2347 - 2360
  • [7] NUMBER OF LIMIT CYCLES OF SOME POLYNOMIAL LIENARD SYSTEMS
    Xu, Weijiao
    Li, Cuiping
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2013, 23 (04):
  • [8] The number of limit cycles of a class of polynomial differential systems
    Yao, Haiyan
    Han, Maoan
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (01) : 341 - 357
  • [9] The Maximal Number of Limit Cycles in a Family of Polynomial Systems
    Xiang, Guanghui
    Hu, Zhaoping
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2014, 24 (03):
  • [10] ON THE NUMBER OF LIMIT CYCLES IN GENERAL PLANAR PIECEWISE LINEAR SYSTEMS
    Huan, Song-Mei
    Yang, Xiao-Song
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2012, 32 (06) : 2147 - 2164