A closed form of a kurtosis parameter of a hypergeometric-Gaussian type-Ⅱ beam

Based on the irradiance moment definition and the analytical expression of waveform propagation for hypergeometricGaussian type-Ⅱ beams passing through an ABCD system, the kurtosis parameter is derived analytically and illustrated numerically. The kurtosis parameters of the Gaussian beam, modified Bessel modulated Gaussian beam with quadrature radial and elegant Laguerre–Gaussian beams are obtained by treating them as special cases of the present treatment. The obtained results show that the kurtosis parameter depends on the change of the beam order m and the hollowness parameter p, such as its decrease with increasing m and increase with increasing p.     

H_∞ synchronization of the coronary artery system with input time-varying delay

This paper investigates the H_∞ synchronization of the coronary artery system with input delay and disturbance.We focus on reducing the conservatism of existing synchronization strategies.Base on the triple integral forms of the Lyapunov–Krasovskii functional(LKF),we utilize single and double integral forms of Wirtinger-based inequality to guarantee that the synchronization feedback controller has good performance against time-varying delay and external disturbance.The effectiveness of our strategy can be exhibited by simulations under the different time-varying delays and different disturbances.     

Testing the validity of the Ehrenfest theorem beyond simple static systems: Caldirola–Kanai oscillator driven by a time-dependent force

The relationship between quantum mechanics and classical mechanics is investigated by taking a Gaussian-type wave packet as a solution of the Schr o¨dinger equation for the Caldirola–Kanai oscillator driven by a sinusoidal force. For this time-dependent system, quantum properties are studied by using the invariant theory of Lewis and Riesenfeld. In particular,we analyze time behaviors of quantum expectation values of position and momentum variables and compare them to those of the counterpart classical ones. Based on this, we check whether the Ehrenfest theorem which was originally developed in static quantum systems can be extended to such time-varying systems without problems.     

不同类风场雨滴冲击荷载对输变电塔线体系动力响应的影响研究

输变电塔体系遭受风雨耦合作用破坏时常将原因归于风荷载,忽略了雨荷载耦合激励的放大效应.针对某输电线路\"一塔两线\"体系模型,以数值方法模拟良态风雨场与湿下击暴流场的风雨时程荷载,分别对塔线体系进行动力响应分析,结果表明:降雨对输电塔线体系的响应,具有显著影响,随着雨强变大,塔线体系响应增大明显;在极值降雨条件下,湿下击暴流场塔顶位移增幅最大,在X向和Y向分别达到31.30％和33.93％;两种风雨场中塔顶位移及加速度功率谱密度均出现明显增幅,体系共振响应增强,塔身关键位置主材应力分别增大了 11.64％、37.07％;在不同类风场中,强降雨时雨滴冲击对塔线体系产生的激励增大作用不可忽略.