Hojman conserved quantity for nonholonomic systems of unilateral non-Chetaev type in the event space

• 来源期刊: 中国物理B（英文版）
• 关键词: event space unilateral nonholonomic system Hojman conserved quantity
• 年，卷（期）: 2007,（11）
• 页码范围: 3168-3175
• 页数: 8页
• 语种: 英文

摘要

Hojman conserved quantities deduced from the special Liesymmetry, the Noether symmetry and the form invariance for a nonholonomic system of the unilateral non-Chetaev type in the event space are investigated. The differential equations of motion of the system above are established. The criteria of the Lie symmetry, the Noether symmetry and the form invariance are given and the relations between them are obtained. The Hojman conserved quantities are gained by which the Hojman theorem is extended and applied to the nonholonomic system of the unilateral non-Chetaev type in the event space. An example is given to illustrate the application of the result.