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Velocity-dependent symmetries and non-Noether conserved quantities of electromechanical systems被引量：5: 《Science China(Physics,Mechanics & Astronomy)》2011年第2期288-295,共8页FU JingLi CHEN BenYong FU Hao ZHAO GangLing LIU RongWan ZHU ZhiYan; supported by the National Natural Science Foundation of China (Grant Nos.10672143 and 11072218); The theory of velocity-dependent symmetries(or Lie symmetry) and non-Noether conserved quantities are presented corresponding to both the continuous and discrete electromechanical systems.Firstly,based on the invarian...; 关键词：velocity-dependent symmetry conserved quantity DISCRETE electromechanical system

Noether-type theory for discrete mechanico-electrical dynamical systems with nonregular lattices被引量：9: 《Science China(Physics,Mechanics & Astronomy)》2010年第9期1687-1698,共12页FU JingLi1,CHEN LiQun2 & CHEN BenYong3 1 Institute of Mathematical Physics,Zhejiang Sci-Tech University,Hangzhou 310018,China 2 Department of Mechanics,Shanghai University,Shanghai 200072,China 3 Faculty of Mechanical-Engineering & Automation,Zhejiang Sci-Tech University,Hangzhou 310018,China; supported by the National Natural Science Foundation of China (Grant Nos 10672143 and 60575055); We investigate Noether symmetries and conservation laws of the discrete mechanico-electrical systems with nonregular lattices.The operators of discrete transformation and discrete differentiation to the right and left...; 关键词：NOETHER symmetry VARIATIONAL formula quasi-extremal equation conservation law DISCRETE mechanico-electrical dynamical system

Conformal invariance and Hojman conserved quantities for holonomic systems with quasi-coordinates被引量：2: 《Chinese Physics B》2010年第9期94-99,共6页罗一平傅景礼; supported by the National Natural Science Foundation of China (Grant Nos.10672143 and 60575055); We propose a new concept of the conformal invariance and the conserved quantities for holonomic systems with quasi-coordinates. A one-parameter infinitesimal transformation group and its infinitesimal transformation v...; 关键词：quasi-coordinates conformal invariance conformal factor conserved quantity

Conformal invariance and conserved quantities of Appell systems under second-class Mei symmetry被引量：2: 《Chinese Physics B》2010年第9期100-105,共6页罗一平傅景礼; supported by the National Natural Science Foundation of China (Grant Nos.10672143 and 60575055); In this paper we introduce the new concept of the conformal invariance and the conserved quantities for Appell systems under second-class Mei symmetry. The one-parameter infinitesimal transformation group and infinite...; 关键词：second-class Mei symmetry conformal invariance conserved quantity Appell system

Noether-type theorem for discrete nonconservative dynamical systems with nonregular lattices被引量：11: 《Science China(Physics,Mechanics & Astronomy)》2010年第3期545-554,共10页FU JingLi1, CHEN LiQun2 & CHEN BenYong3 1 Institute of Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China 2 Department of Mechanics, Shanghai University, Shanghai 200072, China 3 Faculty of Mechanical-Engineering & Automation, Zhejiang Sci-Tech University, Hangzhou 310018, China; supported by the National Natural Science Foundation of China (Grant Nos. 10672143 and 60575055); We investigate Noether symmetries and conservation laws of the discrete nonconserved systems with nonregular lattices. The operators of discrete transformation and discrete differentiation to the right and left are in...; 关键词：NOETHER symmetry VARIATIONAL formula quasi-extremal equation conservation law DISCRETE nonconserved dynamical system

Lie symmetries and conserved quantities for a two-dimentional nonlinear diffusion equation of concentration: 《Chinese Physics B》2010年第1期30-34,共5页赵丽傅景礼陈本永; Project supported by the National Natural Science Foundation of China (Grant Nos. 10672143 and 60575055); The Lie symmetries and conserved quantities of a two-dimensional nonlinear diffusion equation ot concentration are considered. Based on the invariance of the two-dimensional nonlinear diffusion equation of concentrati...; 关键词：Lie symmetry conserved quantity NONLINEAR diffusion equation of concentration

Noether symmetries of discrete mechanico-electrical systems被引量：3: 《Chinese Physics B》2008年第12期4354-4360,共7页傅景礼陈本永谢凤萍; Project supported by the National Natural Science Foundation of China (Grant Nos 10672143 and 60575055);the Natural Science Foundation of Henan Province, China (Grant No 0511022200); This paper focuses on studying Noether symmetries and conservation laws of the discrete mechanico-electricM systems with the nonconservative and the dissipative forces. Based on the invariance of discrete Hamilton act...; 关键词：Noether symmetry conservation law discrete mechanico-electrical system dissipative function

Symplectic-energy-first integrators of discrete mechanico-electrical dynamical systems被引量：1: 《Chinese Physics B》2008年第11期3942-3952,共11页傅景礼陈本永唐贻发付昊; Project supported by the National Natural Science Foundation of China (Grant Nos 10672143 and 60575055);the State Key Laboratory of Scientific and Engineering Computing, Chinese Academy of Sciences;the Natural Science Foundation of Henan Province Government, China (Grant No 0511022200); A discrete total variation calculus with variable time steps is presented for mechanico-electrical systems where there exist non-potential and dissipative forces. By using this discrete variation calculus, the symplec...; 关键词：total variation symplectic-energy-momentum integrator mechanico-electrical system

Structure properties and Noether symmetries for super-long elastic slender rod: 《Chinese Physics B》2008年第7期2361-2365,共5页傅景礼赵维加翁玉权; supported by the National Natural Science Foundation of China (Grant Nos 10672143 and 60575055);the State Key Laboratory of Scientific and Engineering Computing;Chinese Academy of Sciences and the Natural Science Foundation of Henan Province Government of China (Grant No 0511022200); DNA is a nucleic acid molecule with double-helical structures that are special symmetrical structures attracting great attention of numerous researchers. The super-long elastic slender rod, an important structural mod...; 关键词：super-long elastic slender rod Kirchhoff＇s analogue Noether symmetry conserved quantity

A field method for integrating the equations of motion of mechanico-electrical coupling dynamical systems: 《Chinese Physics B》2008年第6期1939-1945,共7页傅景礼徐树山翁玉权; Project supported by the National Natural Science Foundation of China (Grant Nos 10672143 and 60575055);the Natural Science Foundation of Henan Province, China (Grant No 0511022200); A field method for integrating the equations of motion for mechanico-electrical coupling dynamical systems is studied. Two examples in mechanico-electrical engineering are given to illustrate this method.; 关键词：field method mechanico-electrical coupling system Lagrange Maxwell equation

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