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非完整系统相对于非惯性系的Noether理论
引用本文:俞慧丹,张解放.非完整系统相对于非惯性系的Noether理论[J].应用数学和力学,1993,14(6):499-506.
作者姓名:俞慧丹  张解放
作者单位:浙江师范大学物理系 金华 (俞慧丹,张解放),浙江师范大学物理系 金华(许友生)
摘    要:

关 键 词:非完整系统  非惯性系  Noether理论

Noether s Theory for Nonholonomic Dynamical Systems Relative to Noninertial Reference Frame
Yu Hui-dan Zhang Jie-fang Xu You-shen.Noether s Theory for Nonholonomic Dynamical Systems Relative to Noninertial Reference Frame[J].Applied Mathematics and Mechanics,1993,14(6):499-506.
Authors:Yu Hui-dan Zhang Jie-fang Xu You-shen
Abstract:The new variational principle of Gauss's form of nonlinear nonholonomic nonpotential system relative to noninertial reference frame is established by constructing generalized inertial potentials. Noether's theorem and Noether's inverse theorem of the system above is presented and proved. Finally, one example is given to illustrate the application.
Keywords:generalized potential  noniriertial reference frame  nonholonomic non- potential system  Gauss's variational principle  Noether's theorem  Noether's inverse theorem
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