Algebraic aspects of integrability for polynomial systems

被引:0
|
作者
Christopher C. [1 ]
Llibre J. [2 ]
机构
[1] School of Mathematics and Statistics, University of Plymouth, PL4 8AA Plymouth, Devon
[2] Departament de Matemàtiques, Universitat Autònoma de Barcelona, Barcelona
关键词
Darboux integrability; exponential factors; invariant algebraic curves;
D O I
10.1007/BF02969405
中图分类号
学科分类号
摘要
We present an introductory survey to the Darboux integrability theory of planar complex and real polynomial differential systems. Our presentation contains some improvements to the classical theory. © 1999 Birkhäuser-Verlag.
引用
下载
收藏
页码:71 / 95
页数:24
相关论文
共 50 条
  • [1] ALGEBRAIC ASPECTS OF INTEGRABILITY FOR POLYNOMIAL DIFFERENTIAL SYSTEMS
    Pan, Yangyou
    Zhang, Xiang
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2013, 3 (01): : 51 - 69
  • [2] ALGEBRAIC INVARIANT CURVES AND THE INTEGRABILITY OF POLYNOMIAL SYSTEMS
    KOOIJ, RE
    CHRISTOPHER, CJ
    APPLIED MATHEMATICS LETTERS, 1993, 6 (04) : 51 - 53
  • [3] Novel algebraic aspects of Liouvillian integrability for two-dimensional polynomial dynamical systems
    Demina, Maria V.
    PHYSICS LETTERS A, 2018, 382 (20) : 1353 - 1360
  • [4] Darboux integrability and invariant algebraic curves for planar polynomial systems
    Christopher, C
    Llibre, J
    Pantazi, C
    Zhang, X
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (10): : 2457 - 2476
  • [5] Darboux integrability and algebraic limit cycles for a class of polynomial differential systems
    JinLong Cao
    Jaume Llibre
    Xiang Zhang
    Science China Mathematics, 2014, 57 : 775 - 794
  • [6] Darboux integrability and algebraic limit cycles for a class of polynomial differential systems
    Cao JinLong
    Llibre, Jaume
    Zhang Xiang
    SCIENCE CHINA-MATHEMATICS, 2014, 57 (04) : 775 - 794
  • [7] Darboux integrability and algebraic limit cycles for a class of polynomial differential systems
    CAO JinLong
    LLIBRE Jaume
    ZHANG Xiang
    Science China Mathematics, 2014, 57 (04) : 775 - 794
  • [8] Integrability and algebraic limit cycles for polynomial differential systems with homogeneous nonlinearities
    Giné, J
    Llibre, J
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2004, 197 (01) : 147 - 161
  • [9] On the polynomial integrability of the Hoyer systems
    Llibre, Jaume
    Valls, Claudia
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 399 (01) : 411 - 417
  • [10] POLYNOMIAL AND RATIONAL INTEGRABILITY OF POLYNOMIAL HAMILTONIAN SYSTEMS
    Llibre, Jaume
    Stoica, Cristina
    Valls, Claudia
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,