Quasi-Lie schemes: theory and applications

被引：16
|
作者：
Carinena, Jose F. [1 ]
Grabowski, Janusz [2 ]
de Lucas, Javier [1 ,2 ]
机构：
[1] Univ Zaragoza, Dept Fis Teor, E-50009 Zaragoza, Spain
[2] Polish Acad Sci, Inst Math, PL-00956 Warsaw, Poland
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2009年 / 42卷 / 33期
关键词：
SUPERPOSITION RULES; 1ST INTEGRALS; EMDEN-FOWLER; SYSTEMS; EQUATION;
D O I：
10.1088/1751-8113/42/33/335206
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A powerful method to solve nonlinear first-order ordinary differential equations, which is based on a geometrical understanding of the corresponding dynamics of the so-called Lie systems, is developed. This method enables us not only to solve some of these equations, but also gives geometrical explanations for some, already known, ad hoc methods of dealing with such problems.
引用
收藏
页数：20
相关论文
共 50 条
  • [31] Stratified Lie systems: theory and applications
    Carinena, J. F.
    de Lucas, J.
    Wysocki, D.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2022, 55 (38)
  • [32] Lie theory and its applications in control
    Helmke, U
    Hüper, K
    Lawson, J
    SYSTEMS & CONTROL LETTERS, 2001, 43 (01) : 1 - 1
  • [33] Quasi-trace functions on Lie algebras and their applications to 3-Lie algebras
    Tan, Youjun
    Xu, Senrong
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2022, 72 (02) : 559 - 591
  • [34] Quasi-trace functions on Lie algebras and their applications to 3-Lie algebras
    Youjun Tan
    Senrong Xu
    Czechoslovak Mathematical Journal, 2022, 72 : 559 - 591
  • [35] Applications of Lie ring methods to group theory
    Shumyatsky, P
    NONASSOCIATIVE ALGEBRA AND ITS APPLICATIONS, 2000, 211 : 373 - +
  • [36] LIE-HAMILTON SYSTEMS: THEORY AND APPLICATIONS
    Carinena, J. F.
    De Lucas, J.
    Sardon, C.
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2013, 10 (09)
  • [37] Applications of Lie algebroids in mechanics and control theory
    Clemente-Gallardo, J
    NONLINEAR CONTROL IN THE YEAR 2000, VOL 1, 2000, 258 : 299 - 313
  • [38] The lie derivative of spinor fields: Theory and applications
    Godina, M
    Matteucci, P
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2005, 2 (02) : 159 - 188
  • [39] AN INTRODUCTION TO LIE GROUPS AND LIE ALGEBRAS, WITH APPLICATIONS .3. COMPUTATIONAL METHODS AND APPLICATIONS OF REPRESENTATION THEORY
    BELINFANTE, JG
    KOLMAN, B
    SIAM REVIEW, 1969, 11 (04) : 510 - +
  • [40] Embedded Correlated Wavefunction Schemes: Theory and Applications
    Libisch, Florian
    Huang, Chen
    Carter, Emily A.
    ACCOUNTS OF CHEMICAL RESEARCH, 2014, 47 (09) : 2768 - 2775
12345