The inverse problem in the calculus of variations and the geometry of the tangent bundle
G Morandi, C Ferrario, GL Vecchio, G Marmo… - Physics Reports, 1990 - Elsevier
The present paper deals with the geometry of the tangent bundle over a differentiable (Cr)
manifold, and with the so-called inverse problem of Lagrangian dynamics. There are various …
manifold, and with the so-called inverse problem of Lagrangian dynamics. There are various …
Symmetries and conserved quantities of constrained mechanical systems
FX Mei, HB Wu, YF Zhang - International Journal of Dynamics and Control, 2014 - Springer
This is a concise review of the symmetries and conserved quantities of the constrained
mechanical systems. It deals with three kinds of symmetries: the Noether symmetry, the Lie …
mechanical systems. It deals with three kinds of symmetries: the Noether symmetry, the Lie …
Form invariance of Appell equations
F Mei - Chinese Physics B, 2005 - cpb.iphy.ac.cn
The form invariance of Appell equations of holonomic mechanical systems under the
infinitesimal transformations of groups is studied. The definition and the criterion of the form …
infinitesimal transformations of groups is studied. The definition and the criterion of the form …
[HTML][HTML] 相空间中非保守系统的Herglotz广义变分原理及其Noether定理1)
张毅 - 2016 - lxxb.cstam.org.cn
与经典变分原理相比, 基于由微分方程定义的作用量的Herglotz 广义变分原理给出了非保守动力
学系统的一个变分描述, 它不仅能够描述所有采用经典变分原理能够描述的动力学过程 …
学系统的一个变分描述, 它不仅能够描述所有采用经典变分原理能够描述的动力学过程 …
Dynamics modeling and simulation of constrained robotic systems
J Kovecses, JC Piedboeuf… - IEEE/ASME Transactions …, 2003 - ieeexplore.ieee.org
Dynamic analysis is the basic element of mechanical design and control of mechanisms.
This work intends to address dynamic methods relevant to constrained robots and …
This work intends to address dynamic methods relevant to constrained robots and …
Lie symmetries and conserved quantities of constrained mechanical systems
FX Mei - Acta Mechanica, 2000 - Springer
The Lie symmetries and conserved quantities of constrained mechanical systems are
studied. Using the invariance of the ordinary differential equations under the infinitesimal …
studied. Using the invariance of the ordinary differential equations under the infinitesimal …
Symmetries, constants of the motion, and reduction of mechanical systems with external forces
This paper is devoted to the study of mechanical systems subjected to external forces in the
framework of symplectic geometry. We obtain Noether's theorem for Lagrangian systems …
framework of symplectic geometry. We obtain Noether's theorem for Lagrangian systems …
Variational problem of Herglotz type for Birkhoffian system and its Noether's theorems
Y Zhang - Acta Mechanica, 2017 - Springer
Herglotz proposed a generalized variational principle through his work on contact
transformations and their connections with Hamiltonian systems and Poisson brackets …
transformations and their connections with Hamiltonian systems and Poisson brackets …
关于Noether定理1)——分析力学札记之三十
梅凤翔 - 力学与实践, 2020 - lxsj.cstam.org.cn
德国女数学家Noether E 于1918 年发表重要论文" 不变变分问题". 这篇论文给出两个定理,
第一定理涉及经典力学的对称性与守恒量, 第二定理涉及广义相对论. Noether …
第一定理涉及经典力学的对称性与守恒量, 第二定理涉及广义相对论. Noether …
Noether's theorem for fractional variational problem from El-Nabulsi extended exponentially fractional integral in phase space
ZX Long, Y Zhang - Acta Mechanica, 2014 - Springer
This paper focuses on studying Noether's theorem in phase space for fractional variational
problems from extended exponentially fractional integral introduced by El-Nabulsi. Both …
problems from extended exponentially fractional integral introduced by El-Nabulsi. Both …