Noether symmetries of the nonconservative and nonholonomic systems on time scales

• 作 者: CAI PingPingt FU JingLi GUO Yo
• 机 构: tInstituteofMathematicalPhysics,DepartmentofPhysics
• 出 处: 中国科学：物理学、力学、天文学英文版
• 发表日期: 2013年5期
• 关键词: NOETHER对称性 非完整系统 非保守系统 时间尺度 NOETHER理论 拉格朗日方程 诺特定理 守恒定律 time scale Lagrange equa
• 基金项目: supported by the National Natural Science Foundations of China (Grant Nos.11072218 and 11272287),,the Natural Science Foundations of Zhejiang Province of China (Grant No.Y6110314)

In this paper we give a new method to investigate Noether symmetries and conservation laws of nonconservative and nonholonomic mechanical systems on time scales , which unifies the Noether's theories of the two cases for the continuous and the discret