Variational symmetries of Lagrangian systems with second-order derivatives

被引：1

作者：

Coban, Ege ^{[1
]}

Gahramanov, Ilmar ^{[1
,2
,3
]}

Kosva, Dilara ^{[1
]}

机构：

[1] Bogazici Univ, Dept Phys, TR-34342 Istanbul, Turkiye

[2] Azerbaijan Natl Acad Sci, Inst Radiat Problems, BVahabzade St 9, Baku 1143, Azerbaijan

[3] Khazar Univ, Dept Math, Mehseti St 41, Baku 1096, Azerbaijan

来源：

EUROPEAN PHYSICAL JOURNAL PLUS | 2023年 / 138卷 / 07期

关键词：

D O I：

10.1140/epjp/s13360-023-04241-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We discuss an elementary derivation of variational symmetries and corresponding integrals of motion for the Lagrangian systems depending on acceleration. Providing several examples, we make the manuscript accessible to a wide range of readers with an interest in higher-order Lagrangians and symmetries. The discussed technique is also applicable to the Lagrangian systems with higher-order derivatives.

引用

页数：10

共 50 条

[31] Equivalence and symmetries of second-order differential equations
Tryhuk, V.
Dlouhy, O.
MATHEMATICA SLOVACA, 2008, 58 (05) : 541 - 566
[32] Variational symmetries and Lagrangian multiforms
Duncan Sleigh
Frank Nijhoff
Vincent Caudrelier
Letters in Mathematical Physics, 2020, 110 : 805 - 826
[33] Solvability of second-order Hamiltonian systems with impulses via variational method
Bai, Liang
Dai, Binxiang
Li, Feng
APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (14) : 7542 - 7555
[34] Variational properties of the solutions of singular second-order differential equations and systems
Budescu, Angela
Precup, Radu
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2016, 18 (03) : 505 - 518
[35] Critical multipliers in variational systems via second-order generalized differentiation
Mordukhovich, Boris S.
Sarabi, M. Ebrahim
MATHEMATICAL PROGRAMMING, 2018, 169 (02) : 605 - 648
[36] Variational approach to second-order damped Hamiltonian systems with impulsive effects
Liu, Jian
Zhao, Zengqin
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (06): : 3459 - 3472
[37] Critical multipliers in variational systems via second-order generalized differentiation
Boris S. Mordukhovich
M. Ebrahim Sarabi
Mathematical Programming, 2018, 169 : 605 - 648
[38] A variational approach to second-order approximability of sliding mode control systems
Zolezzi, T
OPTIMIZATION, 2004, 53 (5-6) : 641 - 654
[39] Second-order derivatives and rearrangements
Cianchi, A
DUKE MATHEMATICAL JOURNAL, 2000, 105 (03) : 355 - 385
[40] Variational properties of the solutions of singular second-order differential equations and systems
Angela Budescu
Radu Precup
Journal of Fixed Point Theory and Applications, 2016, 18 : 505 - 518

← 1 2 3 4 5 →