Geometric approach to dynamics obtained by deformation of Lagrangians

被引：20

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, Fac Ciencias, Dept Fis, E-33007 Oviedo, Spain

来源：

NONLINEAR DYNAMICS | 2016年 / 83卷 / 1-2期

关键词：

Non-standard Lagrangians; Inverse problem; Deformation of Lagrangians; Modified Euler-Lagrange equations; INVERSE PROBLEM; NONSTANDARD; OSCILLATOR; REDUCTION; FORMALISM; EQUATIONS; SYSTEMS;

D O I：

10.1007/s11071-015-2340-6

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, and the question of the existence of a function such that is dynamically equivalent to L is answered.

引用

页码：457 / 461

页数：5

共 32 条

[1]

ABRAHAM R., 1978, Foundations of Mechanics

[2] THE QUANTUM GROUP SUQ(2) AND A Q-ANALOGUE OF THE BOSON OPERATORS [J].

BIEDENHARN, LC .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (18) :L873-L878

[3]

Carinena J. F., 2015, Geometry from Dynamics: Classical and Quantum

[4] 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)

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

CARINENA, JF ;

IBORT, LA .

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

[6] Conformal Killing vector fields and a virial theorem [J].

Carinena, Jose F. ;

Gheorghiu, Irina ;

Martinez, Eduardo ;

Santos, Patricia .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2014, 47 (46)

[7] Higher-order Abel equations: Lagrangian formalism, first integrals and Darboux polynomials [J].

Carinena, Jose F. ;

Guha, Partha ;

Ranada, Manuel F. .

NONLINEARITY, 2009, 22 (12) :2953-2969

[8] 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)

[9] TANGENT BUNDLE GEOMETRY FOR LAGRANGIAN DYNAMICS [J].

CRAMPIN, M .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (16) :3755-3772

[10] ON THE DIFFERENTIAL GEOMETRY OF THE EULER-LAGRANGE EQUATIONS, AND THE INVERSE PROBLEM OF LAGRANGIAN DYNAMICS [J].

CRAMPIN, M .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1981, 14 (10) :2567-2575

← 1 2 3 4 →