Non-Noether symmetries and Lutzky conservative quantities of nonholonomic nonconservative dynamical ystems

• 来源期刊: 中国物理（英文版）
• 关键词: conserved quantity non-Noether symmetry nonholonomic nonconservative system infinitesimal transformation
• 年，卷（期）: 2006,（2）
• 页码范围: 243-248
• 页数: 6页
• 语种: 英文

摘要

Non-Noether symmetries and conservative quantities of nonholonomic nonconservative dynamical systems are investigated in this paper. Based on the relationships among motion, nonconservative forces, nonholonomic constrained forces and Lagrangian, non-Noether symmetries and Lutzky conservative quantities are presented for nonholonomic nonconservative dynamical systems. The relation between non-Noether symmetry and Noether symmetry is discussed and it is further shown that non-Noether conservative quantities can be obtained by a complete set of Noether invariants. Finally, an example is given to illustrate these results.