Discrete variational principle and the first integrals of the conservative holonomic systems in event space
Zhang Hong-Bin (张宏彬)ab, Chen Li-Qun (陈礼群)ac, Liu Rong-Wan (刘荣万)a
a Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China; b Department of Physics, Anhui Chaohu Colloge, Chaohu 238000, China; c Department of Mechanics, Shanghai University, Shanghai 200436, China
Abstract The intent of this paper is to show that first integrals of discrete equation of motion for the conservative holonomic systems can be determined explicitly by investigating the invariance properties of the discrete Lagrangian in event space. The result obtained is a discrete analogue of Noether’s theorem in the calculus variations. The two examples are given to illustrate the applications of the result.
Received: 27 October 2004
Revised: 22 November 2004
Accepted manuscript online:
Zhang Hong-Bin (张宏彬), Chen Li-Qun (陈礼群), Liu Rong-Wan (刘荣万) Discrete variational principle and the first integrals of the conservative holonomic systems in event space 2005 Chinese Physics 14 888
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
