Perturbation to Symmetries and Adiabatic Invariants of Nonholonomic Dynamical System of Re

Perturbation to Symmetries and Adiabatic Invariants of Nonholonomic Dynamical System of

Relative Motion

CHEN Xiang-Wei; WANG Ming-Quan; WANG Xin-Min

【期刊名称】《《理论物理通讯（英文版）》》 【年(卷),期】2005(043)004

【摘要】Based on the theory of symmetries and conserved quantities, the exact invariants and adiabatic invariants of nonholonomic dynamical system of relative motion are studied. The perturbation to symmetries for the nonholonomic dynamical system of relative motion under small excitation is discussed. The concept of high-order adiabatic invariant is presented, and the form of exact invariants and adiabatic invariants as well as the conditions for their existence are given. Then the corresponding inverse problem is studied. 【总页数】5页(577-581)

【关键词】nonholonomic dynamical system of relative motion; perturbation; exact invariant; adiabatic invariant

【作者】CHEN Xiang-Wei; WANG Ming-Quan; WANG Xin-Min

【作者单位】Department of Physics Shangqiu Teachers College Shangqiu 476000 China 【正文语种】中文 【中图分类】