Conserved quantities and adiabatic invariants of fractional Birkhoffian system of Herglotz type

In order to further study the dynamical behavior of nonconservative systems,we study the conserved quantities and the adiabatic invariants of fractional Brikhoffian systems with four kinds of different fractional derivatives based on Herglotz differential variational principle.Firstly,the conserved quantities of Herglotz type for the fractional Brikhoffian systems based on Riemann-Liouville derivatives and their existence conditions are established by using the fractional Pfaff-Birkhoff-d Alembert principle of Herglotz type.Secondly,the effects of small perturbations on fractional Birkhoffian systems are studied,the conditions for the existence of adiabatic invariants for the Birkhoffian systems of Herglotz type based on Riemann-Liouville derivatives are established,and the adiabatic invariants of Herglotz type are obtained.Thirdly,the conserved quantities and adiabatic invariants for the fractional Birkhoffian systems of Herglotz type under other three kinds of fractional derivatives are established,namely Caputo derivative,Riesz-Riemann-Liouville derivative and Riesz-Caputo derivative.Finally,an example is given to illustrate the application of the results.     

基于可调多粒度对偶犹豫模糊概率粗糙集的三支多属性群决策

本文为减少三支决策中主观性因素对决策结果的影响,并克服经典多粒度粗糙集模型在信息融合方面存在极端性的局限,在对偶犹豫模糊信息系统中探索了基于可调多粒度概率粗糙集的三支决策模型与方法,用于求解多属性群决策问题.首先,本文将对偶犹豫模糊的概念引入三支决策中,提出了可调多粒度对偶犹豫模糊概率粗糙集模型.然后,本文依据离差最大...     

毛细管电泳-激光诱导荧光用于中药制剂中氨基酸成分的分析

建立了一种用于测定中药制剂中氨基酸成分的毛细管电泳-荧光检测方法. 用含有α-环糊精(α-CD)的硼砂缓冲溶液为背景电解质, 经异硫氰酸荧光素(FITC)衍生的5种氨基酸在50 min内可以得到很好的分离和测定. 考查了各个分离参数对分离的影响, 得到的优化条件为: 含45 mmol/L的α-环糊精的80 mmol/L硼砂缓冲溶液(pH值9.2)作为背景电解质, 分离电压20 kV; 柱温22 ℃. 衍生试剂FITC与单个氨基酸的化学计量比为4∶1时, 能够获得稳定荧光强度的氨基酸衍生物. 在优化条件下, 各氨基酸成分在73.5～2900 nmol/L 的浓度范围内呈良好的线性关系(相关系数r2为0.9906～0.9998). 保留时间和峰面积的相对标准偏差分别为0.8%～3.0%和0.7%～5.7%, 检测限(3倍信噪比)为3.5～35 nmol/L. 该方法准确可靠, 可用于质量控制为目的的中药制剂中氨基酸成分的定量测定.