Local analytic first integrals of planar analytic differential systems

被引:2
|
作者
Colak, Ilker E. [1 ]
Llibre, Jaume [1 ]
Valls, Claudia [2 ]
机构
[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain
[2] Univ Tecn Lisboa, Inst Super Tecn, Dept Matemat, P-1049001 Lisbon, Portugal
关键词
Analytic first integral; Analytic differential system;
D O I
10.1016/j.physleta.2013.03.001
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the existence of local analytic first integrals of a class of analytic differential systems in the plane, obtained from the Chua's system studied in L.O. Chua (1992, 1995), N.V. Kuznetsov et al. (2011), GA. Leonov et al. (2012) [6,7,11,13]. The method used can be applied to other analytic differential systems. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码:1065 / 1069
页数:5
相关论文
共 50 条
  • [1] First integrals of local analytic differential systems
    Llibre, Jaume
    Pantazi, Chara
    Walcher, Sebastian
    [J]. BULLETIN DES SCIENCES MATHEMATIQUES, 2012, 136 (03): : 342 - 359
  • [2] Local Darboux first integrals of analytic differential systems
    Llibre, Jaume
    Walcher, Sebastian
    Zhang, Xiang
    [J]. BULLETIN DES SCIENCES MATHEMATIQUES, 2014, 138 (01): : 71 - 88
  • [3] Planar analytic systems having locally analytic first integrals at an isolated singular point
    Zhang, X
    [J]. NONLINEARITY, 2004, 17 (03) : 791 - 801
  • [4] Generalized rational first integrals of analytic differential systems
    Cong, Wang
    Llibre, Jaume
    Zhang, Xiang
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 251 (10) : 2770 - 2788
  • [5] ANALYTIC FIRST INTEGRALS OF ORDINARY DIFFERENTIAL EQUATIONS
    KAPLAN, W
    [J]. COMMENTARII MATHEMATICI HELVETICI, 1972, 47 (02) : 205 - &
  • [6] On the centers of planar analytic differential systems
    Gine, Jaume
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2007, 17 (09): : 3061 - 3070
  • [7] Analytic first integrals of the FitzHugh – Nagumo systems
    Jaume Llibre
    Clàudia Valls
    [J]. Zeitschrift für angewandte Mathematik und Physik, 2009, 60 : 237 - 245
  • [8] Nonanalytic First Integrals of Analytic Systems of Differential Equations in a Neighborhood of Stable Equilibria
    V. V. Kozlov
    [J]. Differential Equations, 2023, 59 : 862 - 865
  • [9] Nonanalytic First Integrals of Analytic Systems of Differential Equations in a Neighborhood of Stable Equilibria
    Kozlov, V. V.
    [J]. DIFFERENTIAL EQUATIONS, 2023, 59 (06) : 862 - 865
  • [10] Planar analytic vector fields with generalized rational first integrals
    Li, WG
    Llibre, J
    Zhang, X
    [J]. BULLETIN DES SCIENCES MATHEMATIQUES, 2001, 125 (05): : 341 - 361