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非完整系统基于El-Nabulsi分数阶模型的Noether对称性与摄动 被引量:2

Noether symmetries and perturbation for nonholonomic systems based on El-Nabulsi fractional order models
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摘要 El-Nabulsi针对非保守系统的建模提出了一类新的分数阶模型,即El-Nabulsi分数阶模型或类分数阶变分方法。文章研究该模型下线性非完整系统Noether对称性的摄动与绝热不变量问题,给出了该模型下线性非完整系统绝热不变量存在的条件及其形式。 El-Nabulsi put forward a new method of modelling nonconservative dynamic systems in 2005, which was called El-Nabulsi fractional order model or fractional action-like variational approach. This paper studies the perturbation of Noether symmetries and adiabatic invariants for a linear nonholonomic system based on this mod-el. The conditions for the adiabatic invariants were given and their formulation was presented.
作者 陈菊 张毅
出处 《苏州科技学院学报(自然科学版)》 CAS 2015年第1期8-11,共4页 Journal of Suzhou University of Science and Technology (Natural Science Edition)
基金 国家自然科学基金资助项目(10972151 11272227) 江苏省普通高校研究生科研创新计划立项项目(CXLX13_855) 苏州科技学院研究生科研创新计划资助项目(SKCX13S_050)
关键词 非完整力学系统 El-Nabulsi分数阶模型 Noether对称性的摄动 绝热不变量 nonholonomic mechanical system El-Nabulsi fractional order model perturbation of Noether symmetry adiabatic invariants
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参考文献12

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