Non-Noether symmetries and conserved quantities of the Lagrange mechano-electrical systems

• 来源期刊: 中国物理（英文版）
• 关键词: mechano-electrical system non-Noether symmetry non-Noether conserved quantity in finitesimal transformation
• 年，卷（期）: 2004,（11）
• 页码范围: 1784-1789
• 页数: 6页
• 语种: 英文

摘要

This paper focuses on studying non-Noether symmetries and conserved quantities of Lagrange mechano-electrical dynamical systems. Based on the relationships between the motion and Lagrangian, we present conservation laws on non-Noether symmetries for Lagrange mechano-electrical dynamical systems. A criterion is obtained on which non-Noether symmetry leads to Noether symmetry of the systems. The work also gives connections between the nonNoether symmetries and Lie point symmetries, and further obtains Lie invariants to form a complete set of non-Noether conserved quantity. Finally, an example is discussed to illustrate these results.