Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Transactions of Beijing Institute of Technology》 2006-04
Add to Favorite Get Latest Update

Weakly Noether Symmetry of a Lagrange System

MEI Feng-xiang,SHUI Xiao-ping (School of Science,Beijing Institute of Technology,Beijing 100081,China)  
A kind of symmetries,i.e.a weakly Noether symmetry for a Lagrange system is presented.The criterion of the weakly Noether symmetry of the system is given and a Noether conserved quantity can be deduced using the symmetry.The weakly Noether symmetry finds more applications than the Noether symmetry.
【Fund】: 国家自然科学基金资助项目(10572021);; 高等学校博士学科点专项基金资助项目(20040007022)
【CateGory Index】: O316
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
【References】
Chinese Journal Full-text Database 1 Hits
1 DING Ning1,FANG Jian-hui2,CHEN Xiang-xia3(1.Department of Physics and Electronics Science,Binzhou University,Binzhou,Shandong 256600,China;2.College of Physics Science and Technology,China University of Petroleum,Dongying,Shandong 257061,China;3.Dezhou University,Dezhou,Shandong 253023,China);Perturbation to Weak Noether Symmetry and Adiabatic Invariants for Lagrange Systems[J];Transactions of Beijing Institute of Technology;2009-03
【Citations】
Chinese Journal Full-text Database 1 Hits
1 Luo Yong, Zhao Yueyu (Department of Applied Mechanics);GENERALIZED NOETHER'S THEOREM FOR SYSTEMS WITH NONLINEAR NONHOLONOMIC CONSTRAINTS[J];Journal of Beijing Institute of Technology;1986-03
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 GU Shu-long1,2,ZHANG Hong-bin2 (1.Department of Physics,Nanjing Xiaozhuang College,Nanjing 210017, China;2.Department of Physics,Chaohu College,Chaohu 238000,China);Lie Symmetry and the Hojman Conserved Quantity of Vacco Mechanical System[J];Journal of Anhui Normal University(Natural Science);2008-04
2 DING Guang-tao(College of Physics and Electrical Information,Anhui Normal University,Wuhu 241000,China);Effects of Equivalent Transformations of Lagrange Functions on Symmetries and Conserved Quantities of Mechanics Systems[J];Journal of Anhui Normal University(Natural Science);2009-01
3 Mei Fengxiang Wu Huibin Zhang Yongfa (College of Science and Technology, Beijing Institute of Technology, Beijing, 100081);RESEARCH ADVANCE IN DYNAMICS OF CONSTRAINED SYSTEMS[J];Acta Armamentarii;2000-S1
4 Ge Weikuan(Dept of Physics, Huzhou Teachers College, Huzhou, 313000)Mei Fengxiang(Dept of Applied Mechanics,Beijing Institute of Technology);NOETHER SYMMETRY OF DIFFERENTIAL EQUATION MODELS IN WARFARE[J];Acta Armamentarii;2001-02
5 Li Ziping ( Department of Applied Physics );Canonical Symmetries in Functional Integral Expression for Field Theories[J];Journal of Beijing Polytechnic University;1993-04
6 Li Ziping ( Department of Applied Physics, Beijing Polytechnic University, 100022 );Canonical Symmetries and Conserved Quantities in the Quantization of Functional Integral[J];Journal of Beijing Polytechnic University;1997-03
7 Gao Haixiao Li Ziping ( Department of Applied Physics, Beijing Polytechnic University, 100022 );Noether Theorem and Poincare - Cartan Integral Invariant in Quantum Case for a Constrained Hamilton System[J];Journal of Beijing Polytechnic University;1997-04
8 Li Ziping(Department of Applied Physics, Beijing Polotechnic University, 100022);A Generalization of the Noether Theorem and Its Applications[J];JOURNAL OF BEIJING POLYTECHNIC UNIVERSITY;1994-04
9 Li Ziping(Department of Applied Physics, Beijing Polytechnic Univeroity, 100022);The Generating Functional of Green Function in Phase Space and Feynman's Rule[J];JOURNAL OF BEIJING POLYTECHNIC UNIVERSITY;1995-03
10 MEI Feng xiang (Department of Applied Mechanics, Beijing Institute of Technology, Beijing100081);Integral Invariant of Birkhoff System[J];JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY;2000-01
China Proceedings of conference Full-text Database 5 Hits
1 Luo Shaokai (Shangqiu Teachers College Shangqiu Henan 476000);Lie Symmetries and Conserved Quantities of Relativistic Holonomic Mechanical Systems[A];[C];2000
2 Zhang Yi (Department of Urban construction,The University of Science and Technology of Suzhou Suzhou 215011 China);Perturbation to Symmetries and Adiabatic Invariant of Holonomic Mechanical Systems with Unilateral Constraints[A];[C];2002
3 Li Yuancheng (Department of Applied Physics,University of Petroleum,Dongying Shandong 257061);Lie Symmetrle and Conserved Quantities of Singular Systems of Variable Mass[A];[C];2002
4 Mei Feng-xiang Wu Hui-bin Shang Mei Zhang Yong-fa (Faculty of Science,Beijing Institute of Technology,Beijing 100081);Mechanization and Solution of Differential Equations[A];[C];2006
5 Wu Run-heng~1 Zhang Wei~2 Wu Hui-bin~2 1.Faculty of Science,North China University of Technology,Beijing,100041 2.Faculty of Science,Beijing Institute of Technology,Beijing,100081;Lie Symmetry and Conserved Quantity for Constrained Hamiltonian Systems[A];[C];2006
【Co-references】
Chinese Journal Full-text Database 5 Hits
1 MEI Feng-xiang (Department. of Mechanics, School of Science, Beijing Institute of Technology, Beijing100081, China);Form Invariance and Non-Noether Conserved Quantity for Holonomic Mechanical Systems with Variable Mass[J];Journal of Beijing Institute of Technology;2003-01
2 MEI Feng-xiang(School of Science, Beijing Institute of Technology, Beijing100081, China);Noether-Lie Symmetry of Lagrange System[J];Journal of Beijing Institute of Technology;2005-04
3 MEI Feng-xiang1,ZHANG Yong-fa1,HE Guang2,GANG Tie-qaing1,XIE Jia-fang1(1.School of Science,Beijing Institute of Technology,Beijing 100081,China;2.School of Aerospace Science and Engineering,Beijing Institute of Technology, Beijing 100081,China);Fundamental Framework of Generalized Birkhoff System Dynamics[J];Transactions of Beijing Institute of Technology;2007-12
4 Zhang Yi 1) Mei Feng-Xiang 2) 1)(Department of Civil Engineering, University of Science and Techno logy of Suzhou, Suzhou 215011, China) 2)(Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, China);Perturbation to symmetries and adiabatic invariant for systems of generalized classical mechanics[J];Acta Physica Sinica;2003-10
5 Ding Ning Fang Jian_Hui~ Zhang Peng_Yu Wang Peng(College of Physics Science and Technology, China University of Petroleum (East China), Dongying 257061, China);Unified symmetry of Poincaré-Chetaev equations[J];Acta Physica Sinica;2006-12
【Secondary Citations】
Chinese Journal Full-text Database 1 Hits
1 LI ZI-PING (Department of Physics, Xinjiang University);THE TRANSFORMATION PROPERTIES OF CONSTRAINED SYSTEM[J];Acta Physica Sinica;1981-12
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved