Geometric approach to dynamics obtained by deformation of time-dependent Lagrangians

被引：16

作者：

Carinena, Jose F. ^{[1
]}

Fernandez Nunez, Jose ^{[2
]}

机构：

[1] Univ Zaragoza, Fac Ciencias, Dept Fis Teor, E-50009 Zaragoza, Spain

[2] Univ Oviedo, Dept Fis, Fac Ciencias, C Calvo Sotelo SN, E-33007 Oviedo, Spain

来源：

NONLINEAR DYNAMICS | 2016年 / 86卷 / 02期

关键词：

Non-standard Lagrangians; Inverse problem; Deformation of Lagrangians; Equivalent deformations; NONSTANDARD LAGRANGIANS; EQUATION;

D O I：

10.1007/s11071-016-2964-1

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The relationship of equations of motion of a Lagrangian to those of L is studied in the non-autonomous case, and the question of the existence of a function such that is dynamically equivalent to L is answered.

引用

页码：1285 / 1291

页数：7

共 30 条

[1]

ABRAHAM R., 1978, Foundations of Mechanics

[2]

Carinena J. F., 1991, Differential Geometry and its Applications, V1, P345, DOI 10.1016/0926-2245(91)90013-Y

[3] Lagrangian formalism for nonlinear second-order Riccati systems:: One-dimensional integrability and two-dimensional superintegrability -: art. no. 062703 [J].

Cariñena, JF ;

Rañada, MF ;

Santander, M .

JOURNAL OF MATHEMATICAL PHYSICS, 2005, 46 (06)

[4] Singular Lagrangians affine in velocities [J].

Cariñena, JF ;

Fernández-Núñez, J ;

Rañada, MF .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (13) :3789-3807

[5] NON-NOETHER CONSTANTS OF MOTION [J].

CARINENA, JF ;

IBORT, LA .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (01) :1-7

[6] Geometric approach to dynamics obtained by deformation of Lagrangians [J].

Carinena, Jose F. ;

Fernandez Nunez, Jose .

NONLINEAR DYNAMICS, 2016, 83 (1-2) :457-461

[7] On the Lagrangian and Hamiltonian description of the damped linear harmonic oscillator [J].

Chandrasekar, V. K. ;

Senthilvelan, M. ;

Lakshmanan, M. .

JOURNAL OF MATHEMATICAL PHYSICS, 2007, 48 (03)

[8] Unusual lienard-type nonlinear oscillator [J].

Chandrasekar, VK ;

Senthilvelan, M ;

Lakshmanan, M .

PHYSICAL REVIEW E, 2005, 72 (06)

[9] A direct approach to the construction of standard and non-standard Lagrangians for dissipative-like dynamical systems with variable coefficients [J].

Cieslinski, Jan L. ;

Nikiciuk, Tomasz .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43 (17)

[10]

Crampin M., 1986, Applicable Differential Geometry

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