Stumped nature hyperjerk system with fractional order and exponential nonlinearity: Analog simulation,bifurcation analysis and cryptographic applications

This article presents the construction and consumption of hyperjerk system having chaotic nature with the commensurate ordered fractional derivative on rapidly digitalized emerging technologies. The system analyzed analytically using Lipschitz condition and numerically with the help of predictor corrector approaches. Originality of constructed system is confirmed using log error plots which gives satisfactory small values on finite time scale. The dynamical performances of the complex system are termed in multiple phase planes by the mean of their significant nature. Stability and bifurcation analysis around the fractional derivative is also studies for the various parameter of system to check the visibility of chaotic solution. The system is also designed in analog circuit simulator with the aid of operational amplifier, anti-parallel semiconductor diodes for validation of the system. With the help of random number generators (RNGs), binary array generated from the hyperjerk system and plugged in to the NIST 800–22 test suite to measure the randomness. The array having high randomness is used as strong cypher key for the cryptographic execution straightforwardly in both direction encryption and decryption.     

Unsteady free convection of second‐grade nanofluid with a new time‐space fractional heat conduction

The Caputo and Caputo–Fabrizio derivative are applied to study a second‐grade nanofluid over a vertical plate. A comparative analysis is presented to study the unsteady free convection of a second‐grade nanofluid with a new time–space fractional heat conduction. The governing equations with mixed time–space fractional derivatives are non‐dimensionalized and solved numerically, and a comparison between the Caputo and the Caputo–Fabrizio models is made. It is found that the temperature is higher for the Caputo–Fabrizio fractional model than the Caputo model, but the higher velocity only exists near the vertical plate for the Caputo–Fabrizio model than the Caputo model. Moreover, the velocity for the Caputo model will exceed the Caputo–Fabrizio model as y evolves.     

Nonstationary Cointegration in the Fractionally Cointegrated VAR Model

We consider the fractional cointegrated vector autoregressive (CVAR) model of Johansen and Nielsen (2012a) and make two distinct contributions. First, in their consistency proof, Johansen and Nielsen (2012a) imposed moment conditions on the errors that depend on the parameter space, such that when the parameter space is larger, stronger moment conditions are required. We show that these moment conditions can be relaxed, and for consistency we require just eight moments regardless of the parameter space. Second, Johansen and Nielsen (2012a) assumed that the cointegrating vectors are stationary, and we extend the analysis to include the possibility that the cointegrating vectors are non‐stationary. Both contributions require new analysis and results for the asymptotic properties of the likelihood function of the fractional CVAR model, which we provide. Finally, our analysis follows recent research and applies a parameter space large enough that the usual (non‐fractional) CVAR model constitutes an interior point and hence can be tested against the fractional model using a Chi‐squared‐test.     

高维空间可分性指标在转子诊断系统优化中的应用

二叉树相关向量机系统中正负类样本的选取往往通过方差进行可分性度量。常用的高斯核函数是在高维空间中完成分类，由于高维空间中数据点存在度量集中现象，欧氏距离往往并不能较好地度量样本点的可分性。分数范数计算出的高维空间距离差异性更大，故构造了一种基于分数范数的样本点距离度量指标。基于该指标优化各层分类器样本选取，通过实验1验证了基于高维可分性指标优化后的系统相较于欧氏距离优化后的系统在分类精度上有了较为显著的提高；实验2表明优化后的系统与智能诊断算法相比，在分类精度和耗时方面也具有优势。     

高斯混合模型结合加权似然的目标跟踪算法

鉴于高斯混合模型对背景变化快时无法精确检测出目标和目标跟踪的适应性差等瑕疵，提出了基于加权似然跟踪器来改进高斯混合模型实现运动目标跟踪算法。主要引入了自适应高斯混合模型来实时检测运动目标，然后空间加权似然来进行视频中的目标定位，引入加权似然期望值来改进高斯混合模型处理视频中的多尺度、多角度变化的目标跟踪不精准问题。通过VOT 2014 dataset对比实验结果表明提出的基于加权似然跟踪（Weighted Likelihood Tracking，WLT）和改进高斯混合模型（Improved Gaussian Mixture Model，IGMM）的目标跟踪算法较传统高斯混合模型跟踪算法在跟踪的精度有较大提高。在应对多尺度、多角度变化的目标跟踪表现出了较大的优势。     

Two-dimensional electromagneto-thermoelastic coupled problem under fractional order theory of thermoelasticity

The dynamic response of a two-dimensional generalized thermal shock problem is investigated in the context of the fractional order theory of thermoelasticity proposed by Sherief et al. To demonstrate the solution process, a thermoelastic half-space subjected to a thermal shock on its bounding surface is considered in detail. The governing equations for the problem are formulated and then solved by normal mode analysis. The distributions of the considered nondimensional temperature, displacement, and stress are obtained and illustrated graphically. The effect of fractional order parameter on the variations of the considered variables is investigated, and the results show that the fractional order parameter has significant influence on the variations of the considered variables.     

分数阶PID控制对钻柱黏滑振动的抑制

钻柱黏滑振动是导致钻井设备加速磨损、钻井安全性下降以及钻井效率降低的重要原因之一。针对钻柱的扭转运动,建立了钻柱、钻杆、BHA及钻头4自由度钻柱系统扭转模型。该模型考虑了扭转自由度、钻柱阻尼以及岩石与钻头相互作用的高度非线性摩擦;通过对钻柱模型进行仿真试验,分析了钻井参数对黏滑振动的影响;为了抑制钻柱黏滑振动,设计了一种分数阶PID控制器。研究结果表明:分数阶PID控制器能够快速稳定系统,缩短调节时间,有效抑制钻柱黏滑振动,它对黏滑振动的抑制效果明显优于传统PID控制器。研究结果对抑制钻柱黏滑振动研究具有参考意义,对降低钻井工具损害、提高钻井效率以及增强作业安全性有重要的指导意义。     

活塞料仓链式超临界流体连续萃取器结构设计

为提高超临界流体萃取间歇操作的效率,设计活塞料仓链式的连续萃取器,将进、卸料操作移出到萃取工艺流程之外,实现连续萃取。通过试验研究了单、双道O形圈及V形粉尘阻挡密封圈不同组合对动密封压力、泄漏量和磨损行程的影响,得出不同的关系曲线。对O形圈接触可靠性进行模拟分析,确定密封的有效性和磨损行程。分析活塞仓体的受力情况并进行结构设计和校核,设计了针对不同组分萃取物进行分级萃取的连续萃取器,并给出具体工艺的实现方式。     

Effect of fractional extraction on the combustion characteristics of four Chinese coals

The effect of the fractional extraction with petroleum ether (PE), carbon disulfide (CS₂), methanol, acetone, and tetrahydrofuran (THF) on the combustion characteristics of four Chinese coals were investigated using thermogravimetric analysis (TGA). The maximum extraction yield of 6.9% from Yujialiang coal (YJLC) and the minimum extraction yield of 2.6% from Hulunbuir coal (HLBC) were obtained. Although the difference of extraction yield is obvious, the Fourier transform infrared spectroscopy (FTIR) results imply that the extracts have analogous functional groups, and aromatics are dominations in extractable components. Compared with subbituminous coals, the HLBC is more prone to ignite according to the ignition temperature from the TGA results. The pretreatment of extraction changes the combustion behaviors and increases the burning temperature.     

Validating the moderating role of age in multi-perspective acceptance model of wearable healthcare technology

The recent trend of aging population, not to mention the unprecedented pandemic, draws great attention from the general public about health concerns. Since healthcare information technology is different from non-healthcare information technology, additional contexts should be properly incorporated into technology acceptance research to accurately identify influential factors affecting the acceptance of wearable healthcare technology. Thus, we selectively reconfigured factors from health, privacy, and socio-demographic contexts to formulate a health-aware acceptance model. Then, it was empirically analyzed using structural equation modeling. Based on the results, whereas privacy concerns were directly associated with intention to use wearable healthcare technology, health concerns were not. Moreover, age had a moderating effect on social influence and facilitating conditions. These findings suggest valuable insights that the adoption rate of healthcare technology is increased by 1) keeping personal information securely, 2) facilitating social interaction among users, and 3) offering intuitive user experience for elderly people.