THE PAINLEVE PROPERTY AND SINGULARITY ANALYSIS OF INTEGRABLE AND NON-INTEGRABLE SYSTEMS

被引：440
|
作者：
RAMANI, A
GRAMMATICOS, B
BOUNTIS, T
机构：
[1] UNIV PARIS 07, PHYS NUCL LAB, F-75221 PARIS 05, FRANCE
[2] UNIV PATRAS, DEPT MATH, GR-26110 PATRAS, GREECE
来源：
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS | 1989年 / 180卷 / 03期
关键词：
D O I：
10.1016/0370-1573(89)90024-0
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
引用
收藏
页码：159 / 245
页数：87
相关论文
共 50 条
  • [1] Analytic non-integrable Hamiltonian systems and irregular singularity
    Masafumi Yoshino
    [J]. Annali di Matematica Pura ed Applicata, 2008, 187 : 555 - 562
  • [2] Analytic non-integrable Hamiltonian systems and irregular singularity
    Yoshino, Masafumi
    [J]. ANNALI DI MATEMATICA PURA ED APPLICATA, 2008, 187 (04) : 555 - 562
  • [3] Integrable variational equations of non-integrable systems
    Maciejewski, Andrzej J.
    Przybylska, Maria
    [J]. REGULAR & CHAOTIC DYNAMICS, 2012, 17 (3-4): : 337 - 358
  • [4] Integrable variational equations of non-integrable systems
    Andrzej J. Maciejewski
    Maria Przybylska
    [J]. Regular and Chaotic Dynamics, 2012, 17 : 337 - 358
  • [5] Integrable and non-integrable Lotka-Volterra systems
    Bountis, Tassos
    Zhunussova, Zhanat
    Dosmagulova, Karlygash
    Kanellopoulos, George
    [J]. PHYSICS LETTERS A, 2021, 402
  • [6] On optical Airy beams in integrable and non-integrable systems
    Assanto, Gaetano
    Minzoni, Antonmaria A.
    Smyth, Noel F.
    [J]. WAVE MOTION, 2015, 52 : 183 - 193
  • [7] Integrable systems without the Painleve property
    Ramani, A
    Grammaticos, B
    Tremblay, S
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2000, 33 (15): : 3045 - 3052
  • [8] ON CLASSES OF INTEGRABLE SYSTEMS AND THE PAINLEVE PROPERTY
    WEISS, J
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1984, 25 (01) : 13 - 24
  • [9] Examples of integrable and non-integrable systems on singular symplectic manifolds
    Delshams, Amadeu
    Kiesenhofer, Anna
    Miranda, Eva
    [J]. JOURNAL OF GEOMETRY AND PHYSICS, 2017, 115 : 89 - 97
  • [10] Spreading in integrable and non-integrable many-body systems
    Freese, Johannes
    Gutkin, Boris
    Guhr, Thomas
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2016, 461 : 683 - 693
12345