Constraints on the symmetry and conservation laws of mechanical systems

Author: Mei Fengxiang
Publisher:
Publish Date: 2004-01-01
Features: This book comprehensively and systematically discusses the symmetry and conservation laws of constrained mechanical systems such as complete constrained systems, non-complete constrained systems, and Birkhoff systems. The symmetry includes Noether symmetry, Lie symmetry, and formal invariance. The conservation laws include Noether conservation laws, Hojman conservation laws, and new conservation laws. The research specifically includes the Noether symmetry of various constrained systems directly leading to conservation laws, indirectly leading to Noether conservation laws and new conservation laws; formal invariance directly leading to new conservation laws, indirectly leading to Noether conservation laws and Hojman conservation laws, etc. This book can serve as a teaching reference for senior undergraduate and graduate students in universities and colleges majoring in mechanics, mathematics, physics, and engineering. It is also available for reference by relevant teachers, mechanics professionals, and scientific and technical personnel.