Integrability and generalized center problem of resonant singular point

被引：13
|
作者：
Zhang, Qi [1 ]
Liu, Yirong [2 ]
机构：
[1] Cent S Univ, Sch Math & Stat, Changsha 410075, Hunan, Peoples R China
[2] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2015年 / 40卷
基金：
中国国家自然科学基金;
关键词：
Generalized center; Integrability; Resonant singular point; Integrating factor; LINEARIZABILITY; SYSTEMS;
D O I：
10.1016/j.aml.2014.09.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, integrability and generalized center condition of resonant singular point for a broad class of complex autonomous polynomial differential system are studied. A new method integrating factor method of determining integrability of resonant singular point is obtained for any rational resonance ratio. At the same time, the relations of the first integral method and the integrating factor method with the normal form method are obtained. (C) 2014 Elsevier Ltd. All rights reserved.
引用
收藏
页码：13 / 16
页数：4
相关论文
共 50 条
  • [31] INTEGRABILITY OF THE DERIVATIVE OF SOLUTIONS TO A SINGULAR ONE-DIMENSIONAL PARABOLIC PROBLEM
    Nakayasu, Atsushi
    Rybka, Piotr
    [J]. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2018, 52 (01) : 239 - 257
  • [32] The Hilbert Problem in a Half-Plane for Generalized Analytic Functions with a Singular Point on the Real Axis
    Shabalin, P. L.
    Faizov, R. R.
    [J]. UCHENYE ZAPISKI KAZANSKOGO UNIVERSITETA-SERIYA FIZIKO-MATEMATICHESKIE NAUKI, 2024, 166 (01): : 111 - 122
  • [33] Linearizability of the polynomial differential systems with a resonant singular point
    Wang, Qinlong
    Liu, Yirong
    [J]. BULLETIN DES SCIENCES MATHEMATIQUES, 2008, 132 (02): : 97 - 111
  • [34] Higher integrability for obstacle problem related to the singular porous medium equation
    Li, Qifan
    [J]. BOUNDARY VALUE PROBLEMS, 2020, 2020 (01)
  • [35] Singular complete integrability
    Stolovitch, L
    [J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1998, 326 (06): : 733 - 736
  • [36] SINGULAR COMPLETE INTEGRABILITY
    Stolovitch, Laurent
    [J]. PUBLICATIONS MATHEMATIQUES, 2000, (91): : 133 - 210
  • [37] The Complexity of Generalized Center Problem
    Guangfeng Dong
    Changjian Liu
    Jiazhong Yang
    [J]. Qualitative Theory of Dynamical Systems, 2015, 14 : 11 - 23
  • [38] The Complexity of Generalized Center Problem
    Dong, Guangfeng
    Liu, Changjian
    Yang, Jiazhong
    [J]. QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2015, 14 (01) : 11 - 23
  • [39] Singular complete integrability
    Laurent Stolovitch
    [J]. Publications Mathématiques de l'Institut des Hautes Études Scientifiques, 2000, 91 (1): : 133 - 210
  • [40] Non-integrability of the generalized spring-pendulum problem
    Maciejewski, AJ
    Przybylska, M
    Weil, JA
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37 (07): : 2579 - 2597
12345