The criticality of reversible quadratic centers at the outer boundary of its period annulus

被引:0
|
作者
Marín, David [1 ]
Villadelprat, Jordi [1 ]
机构
[1] Departament de Matemàtiques, Edifici Cc, Universitat Autònoma de Barcelona, 08193 Cerdanyola del Vallès (Barcelona), Spain,Centre de Recerca Matemàtica, Edifici Cc, Campus de Bellaterra, 08193 Cerdanyola del Vallès (Barcelona), Spain,Departament d’Enginyer
来源
arXiv | 2022年
关键词
Engineering Village;
D O I
暂无
中图分类号
学科分类号
摘要
Asymptotic expansion - Connected component - Critical periodic orbit - Hilbert - Hilbert’s 16th problem - Period function - Periodic orbits - Polycycles - Upper Bound - Vector fields
引用
收藏
相关论文
共 50 条
  • [1] The criticality of reversible quadratic centers at the outer boundary of its period annulus
    Marin, D.
    Villadelpratc, J.
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 332 : 123 - 201
  • [2] Analytic Tools to Bound the Criticality at the Outer Boundary of the Period Annulus
    Manosas, F.
    Rojas, D.
    Villadelprat, J.
    JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2018, 30 (03) : 883 - 909
  • [3] Analytic Tools to Bound the Criticality at the Outer Boundary of the Period Annulus
    F. Mañosas
    D. Rojas
    J. Villadelprat
    Journal of Dynamics and Differential Equations, 2018, 30 : 883 - 909
  • [4] The cyclicity of the period annulus of a reversible quadratic system
    Liu, Changjian
    Li, Chengzhi
    Llibre, Jaume
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2022, 152 (02) : 281 - 290
  • [5] The criticality of centers of potential systems at the outer boundary
    Manosas, F.
    Rojas, D.
    Villadelprat, J.
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 260 (06) : 4918 - 4972
  • [6] The period function of reversible quadratic centers
    Mardesic, P
    Marín, D
    Villadelprat, J
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2006, 224 (01) : 120 - 171
  • [7] A criticality result for polycycles in a family of quadratic reversible centers
    Rojas, D.
    Villadelprat, J.
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 264 (11) : 6585 - 6602
  • [8] THE CYCLICITY OF THE PERIOD ANNULUS OF A CLASS OF QUADRATIC REVERSIBLE SYSTEM
    Shao, Yi
    Zhao, Yulin
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2012, 11 (03) : 1269 - 1283
  • [9] THE CYCLICITY OF THE PERIOD ANNULUS OF A QUADRATIC REVERSIBLE SYSTEM WITH A HEMICYCLE
    Peng, Linping
    Lei, Yazhi
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2011, 30 (03) : 873 - 890
  • [10] On the reversible quadratic centers with monotonic period function
    Villadelprat, J.
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2007, 135 (08) : 2555 - 2565