Please wait a minute...
Chinese Physics, 2003, Vol. 12(4): 351-356    DOI: 10.1088/1009-1963/12/4/301
GENERAL   Next  

Stability for the equilibrium state manifold of relativistic Birkhoffian systems

Fu Jing-Li (傅景礼)ab, Chen Li-Qun (陈立群)a, Luo Yi (骆毅)c, Luo Shao-Kai (罗绍凯)d 
a Institute of Mathematical Mechanics and Mathematical physics, Shangqiu Teachers College, Shangqiu 476000, China; b Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China; c Department of Engineering Mechanics, School of Civil and Architectural Engineering, Kunming University of Science and Technology, Kunming 650024, China; d Institute of Mathematical Mechanics and Mathematical Physics, Changsha University, Changsha 410003, China
Abstract  In this paper, the stability of equilibrium state manifold for relativistic Birkhoffian systems is studied. The equilibrium state equations, the disturbance equations and their first approximation are presented. The criteria of stability for the equilibrium state manifold are obtained. The relationship between the stability of the equilibrium-state manifold of relativistic Birkhoffian systems and that of classical Birkhoffian systems is discussed. An example is given to illustrate the results.
Keywords:  relativity      Birkhoffian systems      stability      equilibrium state      manifold  
Received:  29 September 2002      Revised:  10 January 2003      Accepted manuscript online: 
PACS:  45.05.+x (General theory of classical mechanics of discrete systems)  
  03.30.+p (Special relativity)  

Cite this article: 

Fu Jing-Li (傅景礼), Chen Li-Qun (陈立群), Luo Yi (骆毅), Luo Shao-Kai (罗绍凯) Stability for the equilibrium state manifold of relativistic Birkhoffian systems 2003 Chinese Physics 12 351

[1] Modulational instability of a resonantly polariton condensate in discrete lattices
Wei Qi(漆伟), Xiao-Gang Guo(郭晓刚), Liang-Wei Dong(董亮伟), and Xiao-Fei Zhang(张晓斐). Chin. Phys. B, 2023, 32(3): 030502.
[2] Suppression of laser power error in a miniaturized atomic co-magnetometer based on split ratio optimization
Wei-Jia Zhang(张伟佳), Wen-Feng Fan(范文峰), Shi-Miao Fan(范时秒), and Wei Quan(全伟). Chin. Phys. B, 2023, 32(3): 030701.
[3] Continuous-wave optical enhancement cavity with 30-kW average power
Xing Liu(柳兴), Xin-Yi Lu(陆心怡), Huan Wang(王焕), Li-Xin Yan(颜立新), Ren-Kai Li(李任恺), Wen-Hui Huang(黄文会), Chuan-Xiang Tang(唐传祥), Ronic Chiche, and Fabian Zomer. Chin. Phys. B, 2023, 32(3): 034206.
[4] Improvement of coercivity thermal stability of sintered 2:17 SmCo permanent magnet by Nd doping
Chao-Zhong Wang(王朝中), Lei Liu(刘雷), Ying-Li Sun(孙颖莉), Jiang-Tao Zhao(赵江涛), Bo Zhou (周波), Si-Si Tu(涂思思), Chun-Guo Wang(王春国), Yong Ding(丁勇), and A-Ru Yan(闫阿儒). Chin. Phys. B, 2023, 32(2): 020704.
[5] Formation of nanobubbles generated by hydrate decomposition: A molecular dynamics study
Zilin Wang(王梓霖), Liang Yang(杨亮), Changsheng Liu(刘长生), and Shiwei Lin(林仕伟). Chin. Phys. B, 2023, 32(2): 023101.
[6] Ion migration in metal halide perovskite QLEDs and its inhibition
Yuhui Dong(董宇辉), Danni Yan(严丹妮), Shuai Yang(杨帅), Naiwei Wei(魏乃炜),Yousheng Zou(邹友生), and Haibo Zeng(曾海波). Chin. Phys. B, 2023, 32(1): 018507.
[7] Formation of quaternary all-d-metal Heusler alloy by Co doping fcc type Ni2MnV and mechanical grinding induced B2-fcc transformation
Lu Peng(彭璐), Qiangqiang Zhang(张强强), Na Wang(王娜), Zhonghao Xia(夏中昊), Yajiu Zhang(张亚九),Zhigang Wu(吴志刚), Enke Liu(刘恩克), and Zhuhong Liu(柳祝红). Chin. Phys. B, 2023, 32(1): 017102.
[8] Memristor hyperchaos in a generalized Kolmogorov-type system with extreme multistability
Xiaodong Jiao(焦晓东), Mingfeng Yuan(袁明峰), Jin Tao(陶金), Hao Sun(孙昊), Qinglin Sun(孙青林), and Zengqiang Chen(陈增强). Chin. Phys. B, 2023, 32(1): 010507.
[9] Parametric decay instabilities of lower hybrid waves on CFETR
Taotao Zhou(周涛涛), Nong Xiang(项农), Chunyun Gan(甘春芸), Guozhang Jia(贾国章), and Jiale Chen(陈佳乐). Chin. Phys. B, 2022, 31(9): 095201.
[10] Propagation and modulational instability of Rossby waves in stratified fluids
Xiao-Qian Yang(杨晓倩), En-Gui Fan(范恩贵), and Ning Zhang(张宁). Chin. Phys. B, 2022, 31(7): 070202.
[11] Kinetic theory of Jeans' gravitational instability in millicharged dark matter system
Hui Chen(陈辉), Wei-Heng Yang(杨伟恒), Yu-Zhen Xiong(熊玉珍), and San-Qiu Liu(刘三秋). Chin. Phys. B, 2022, 31(7): 070401.
[12] All polarization-maintaining Er:fiber-based optical frequency comb for frequency comparison of optical clocks
Pan Zhang(张攀), Yan-Yan Zhang(张颜艳), Ming-Kun Li(李铭坤), Bing-Jie Rao(饶冰洁), Lu-Lu Yan(闫露露), Fa-Xi Chen(陈法喜), Xiao-Fei Zhang(张晓斐), Qun-Feng Chen(陈群峰), Hai-Feng Jiang(姜海峰), and Shou-Gang Zhang(张首刚). Chin. Phys. B, 2022, 31(5): 054210.
[13] Stability and luminescence properties of CsPbBr3/CdSe/Al core-shell quantum dots
Heng Yao(姚恒), Anjiang Lu(陆安江), Zhongchen Bai(白忠臣), Jinguo Jiang(蒋劲国), and Shuijie Qin(秦水介). Chin. Phys. B, 2022, 31(4): 046106.
[14] Influence of various shapes of nanoparticles on unsteady stagnation-point flow of Cu-H2O nanofluid on a flat surface in a porous medium: A stability analysis
Astick Banerjee, Krishnendu Bhattacharyya, Sanat Kumar Mahato, and Ali J. Chamkha. Chin. Phys. B, 2022, 31(4): 044701.
[15] Effect of initial phase on the Rayleigh—Taylor instability of a finite-thickness fluid shell
Hong-Yu Guo(郭宏宇), Tao Cheng(程涛), Jing Li(李景), and Ying-Jun Li(李英骏). Chin. Phys. B, 2022, 31(3): 035203.
No Suggested Reading articles found!