A new approach to the nonlinear connection associated with second-order (and higher-order) differential equation fields

被引：4
|
作者：
Saunders, DJ
机构：
[1] BBC Production Centre, Open University, Walton Hall
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1997年 / 30卷 / 05期
关键词：
D O I：
10.1088/0305-4470/30/5/034
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Each second-order (or higher-older) differential equation field defined on a tangent bundle or a jet bundle has an associated (possibly nonlinear) connection. We give a new geometric construction for this connection which uses a single straight forward formula in all cases; the fractional coefficients which complicate the traditional tensor formulae are not required.
引用
收藏
页码：1739 / 1743
页数：5
相关论文
共 50 条
  • [1] On a Nonlinear Second-Order Ordinary Differential Equation
    A. A. Kosov
    E. I. Semenov
    [J]. Differential Equations, 2023, 59 : 143 - 146
  • [2] NONOSCILLATION OF A SECOND-ORDER NONLINEAR DIFFERENTIAL EQUATION
    GRAEF, JR
    SPIKES, PW
    [J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 21 (01): : A136 - A136
  • [3] On a Nonlinear Second-Order Ordinary Differential Equation
    Kosov, A. A.
    Semenov, E. I.
    [J]. DIFFERENTIAL EQUATIONS, 2023, 59 (01) : 143 - 146
  • [4] SOLUTIONS OF A SECOND-ORDER NONLINEAR DIFFERENTIAL EQUATION
    GRAEF, JR
    SPIKES, PW
    [J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 20 (01): : A121 - A121
  • [5] LINEARISATION OF A SECOND-ORDER NONLINEAR ORDINARY DIFFERENTIAL EQUATION
    Maharaj, Adhir
    Leach, Peter G. L.
    Govender, Megan
    Day, David P.
    [J]. ACTA POLYTECHNICA, 2023, 63 (01) : 19 - 22
  • [6] ICA by PCA approach: Relating higher-order statistics to second-order moments
    Zhang, K
    Chan, LW
    [J]. INDEPENDENT COMPONENT ANALYSIS AND BLIND SIGNAL SEPARATION, PROCEEDINGS, 2006, 3889 : 311 - 318
  • [7] A GEOMETRICAL APPROACH TO SECOND-ORDER LINEAR DIFFERENTIAL EQUATION
    PETTY, CM
    BARRY, JE
    [J]. CANADIAN JOURNAL OF MATHEMATICS, 1962, 14 (02): : 349 - &
  • [8] New oscillatory criteria for higher-order nonlinear neutral delay differential equation
    Liang, Haiyan
    Li, Qiaoluan
    Zhang, Zhenguo
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (5-6) : 1719 - 1731
  • [9] COMMUTATIVITY ASSOCIATED WITH EULER SECOND-ORDER DIFFERENTIAL EQUATION
    Ibrahim, Salisu
    [J]. ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2022, 28 : 29 - 36
  • [10] Higher-order methods for eigenvalues of second-order ordinary differential equations with boundary conditions
    Garey, LE
    Gladwin, CJ
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 1996, 76 (2-3) : 293 - 300
12345