The generation of a hyperchaotic system based on a three-dimensional autonomous chaotic system

This paper reports a new four-dimensional hyperchaotic system obtained by adding a controller to a three-dimensional autonomous chaotic system. The new system has two parameters, and each equation of the system has one quadratic cross-product term. Some basic properties of the new system are analysed. The different dynamic behaviours of the new system are studied when the system parameter $a$ or $b$ is varied. The system is hyperchaotic in several different regions of the parameter $b$. Especially, the two positive Lyapunov exponents are both larger, and the hyperchaotic region is also larger when this system is hyperchaotic in the case of varying $a$. The hyperchaotic system is analysed by Lyapunov-exponents spectrum, bifurcation diagrams and Poincar\'{e} sections.     

红外耦合光学系统设计

红外目标模拟器由红外目标图像发生器和投影光学系统组成。该红外光学系统是一个要求与2个导引光学系统的光学技术参数相匹配的长焦距、大视场和具有像方远心光路的中红外光学系统。叙述用于红外目标模拟器的红外耦合光学系统的设计原理，提出它与导引光学系统一起可组成放大倍率M=4.5×的红外投影光学系统，并指出IR CRT产生的图像通过红外投影光学系统可成像在导引接收器上。针对给出的红外耦合光学系统的设计特点和技术要求，光学材料选取硅（Si） 锗（Ge） 硅（Si），采用简单的柯克三片式结构完成光学系统设计。设计评价结果表明，该系统的光学性能和成像质量均满足设计指标要求。     

事件空间中完整力学系统的梯度表示

本文研究事件空间中完整力学系统的梯度表示和分数维梯度表示, 建立系统的微分方程并将其表示为一阶形式, 给出系统成为梯度系统的条件以及成为分数维梯度系统的条件. 最后, 举例说明结果的应用.     

一个截断误差诱导下的随机数字振荡系统

计算机截断误差通常被认为会导致混沌系统退化.根据这种认识，提供了一个完全由计算机截断误差诱导的简单系统走向复杂化或混沌的反例.该系统定义为椭圆反射腔映射系统的过焦系统，理论解为一个极限序列，对应计算机解则是一个随机数字振荡系统.分析表明，计算机解是在截断误差诱导下由理论解变异而来的.理论解中系统存在“回转机制”，截断误差诱导系统在非双曲性不动点局域产生“逃逸机制”，从而发现一种阵发混沌的新机制. 关键词： 截断误差 切延迟椭圆反射腔映射系统 随机振荡 阵发混沌     

广义Birkhoff系统与一类组合梯度系统

提出一类组合梯度系统, 即将梯度系统与斜梯度系统相加而组成的一个系统, 并研究组合梯度系统的重要性质. 将广义Birkhoff系统在一定条件下化成组合梯度系统, 并利用组合梯度系统的性质来研究广义Birkhoff系统的积分和稳定性.     

Quantum Symmetry for a System with a Singular Lagrangian Containing Subsidiary Condition

The quantization for a system with a singular Lagrangian containing subsidiary constrained conditions in configuration space is studied. The system is called constrained singular system. In certain case, the constrained singular system can be brought into the theoretical framework of the constrained Hamilton system. A modified Dirac-Bergmann algorithm for the calculation of constraints in the system is deduced. The path integral quantization is formulated by using the Faddeev-Senjanovic scheme, and the classical/quantum Noether theorem in canonical formalism are also established for such a system. The application of the results to study the fractional spin in non-Abelian Chern-Simons theory is given. We make a precise investigation of the fractional spin for such a system at the quantal level. A simple example is presented to show that the connection between the symmetry and conservation law in classical theories in general is no longer preserved in quantum theories.     

一个基于Chen系统的新混沌系统的分析与同步

通过在Chen系统的第一个方程中加入一个可变系数的乘积项, 构造了一个新的三维自治混沌系统.新系统可通过调节其可变系数实现不同系数组合下系统的混沌产生或混沌抑制, 即调节该乘积项的可变系数, 可使不出现混沌的Chen系统产生混沌现象, 同时也可使产生混沌运动的Chen系统不再产生混沌现象.详细分析了新系统的特性, 研究了新系统的混沌同步问题, 并给出了相应的仿真结果.     

多元探测器在玫瑰扫描红外亚成像系统中的应用

玫瑰扫描红外亚成像系统是利用玫瑰扫描机构和红外单元探测器构成的一种亚成像系统。提出了一种利用多元小面阵来替代单元探测器的红外亚成像系统 ,可以提高成像系统的空间分辨率和帧频。分析了系统的原理 ,并给出了系统的构成框图。此外 ,就玫瑰扫描成像系统中应用多元探测器可能出现的问题进行了讨论 ,并提出了解决方案。结果表明 ,这种多元小面阵玫瑰扫描成像系统的成本远低于焦平面阵列探测器红外成像系统 ,在性能改善后是诸如末制导炮弹等低成本应用场合的理想红外成像系统     

红外光学系统焦距测量的研究

红外光学系统是红外系统的关键组件,而焦距是光学系统重要的参数之一,它的测量直接影响到红外系统的定位精度和打击目标的准确率。传统的测量焦距的方法一直沿用可见光照明的放大率法,其测量精度受很多因素的制约。研制的测量红外光学系统焦距的系统,采用倒置放大率法测量方式,直接用红外光源照明放置在被测光学系统物方焦面上的玻罗板,用线...     

Bifurcation for the generalized Birkhoffian system

The system described by the generalized Birkhoff equations is called a generalized Birkhoffian system. In this paper,the condition under which the generalized Birkhoffian system can be a gradient system is given. The stability of equilibrium of the generalized Birkhoffian system is discussed by using the properties of the gradient system. When there is a parameter in the equations, its influences on the stability and the bifurcation problem of the system are considered.     

三维空间下混合白光LED系统照度模型

针对包含暖白光和冷白光两种不同LED光源的混合白光LED系统, 提出一种非线性控制混合白光LED系统照度模型的方法论。该混合白光LED系统包含暖白光及冷白光两种不同LED光源。混合白光LED系统总照度取决于两个LED光源所占的光通量比例, 据此提出三维空间下不同电流负载情况下的混合白光LED系统的照度模型, 通过简单的光学及电学测试方法校准, 并实验测试验证该三维照度模型的真实性。该方法对混合白光LED系统的应用具有一定参考价值, 而且其适用于多个光源的LED系统, 并不仅限于白光LED。     

Simulations and experiments for hybrid noise control systems

The purpose of this study is to explore the effects of sound elimination in a cylindrical duct by combining a reactive muffler and active noise control (ANC) system. Besides the exploration via experiment of the combined noise control system, a Grey prediction based on Grey theory is also applied to ANC for this hybrid system.In the experiment for this system, a combined adaptive algorithm is adopted. The results of sound elimination are compared between cases with ANC systems installed before the muffler and after the muffler. The results indicate that the sequence of arrangement of muffler can influence the results of active noise control. According to the results of experiment and simulation, the effect of noise reduction in ANC system is influenced extremely by reference signal received. The transmission loss and insertion loss in this system are also discussed in details. Besides, the experimental results indicate that the hybrid system has the advantages over a traditional muffler when the muffler is not designed for the frequency of the noise. Furthermore, the mathematic simulation for acoustic field in a cylindrical duct with a muffler is performed in order to verify the experiment results. Finally, Grey theory is applied to estimate the expected signals in order to perform a computer simulation of Grey prediction to explore effects of the ANC system. The results indicate that application of Grey theory gives a good control for the hybrid system.     

飞秒电子衍射系统的设计

研发的超快电子衍射系统由超快电子枪、样品室、超快读出系统、电源系统,以及真空系统等组成,该超快电子衍射系统具有较高的时间分辩能力和较强的探测能力.光电阴极是蒸镀于MgFB2窗上的35 nm的银膜,该阴极对266 nm的紫外光比较敏感,有较高的量子效率,又具有很好的化学稳定性.用短磁聚焦系统来实现对光电子的聚焦,有两对偏转板,其中的一对在测量时间脉宽时用作扫描板.用双MCP探测器来增强电子图像的强度,其增益在104以上,具有单电子探测能力.系统的总时间脉宽设计为358 fs.     

CRT曝光式数码彩扩光学系统研究

CRT曝光式数码彩扩设备是近几年发展起来的光机电算一体化的高科技产品.它由四部分组成:计算机主机系统、光学系统、电控系统和彩色扩印系统.其中光学系统是该设备的重要组成部分.它是一个长焦距、大视场的投影光学系统.叙述了数码彩扩光学系统设计的特点、难点及设计结果.     

Vibration of an excitation system supported flexibly on a viscoelastic sandwich beam at its mid-point

A vibration analysis of an excitation system supported flexibly on a three layer sandwich beam is presented in this paper. The flexibly supported excitation system, which is essentially the primary system, consists of a mass, a spring and a dash-pot. The beam is analyzed separately as a continuous system in a classical way and then its dynamic stiffness at the junction point is combined with that of the primary system to obtain the resultant dynamic stiffness, which in turn is used to develop the expressions for the response of the primary system and the transmissibility provided by the whole system. Both response and transmissibility are evaluated for different geometrical and physical parameters of the sandwich beam. The solution to this problem is also obtained by approximating the sandwich beam by a lumped mass supported on a spring and dash-pot. The results in the two cases are compared. Results obtained from an experimental test-rig substantiate the theoretical results.     

Security Applications of Optical Face Recognition System: Access Control in E-Learning

The educational system has gradually shifted from a face-to-face to an e-learning system, which has become prevalent in advanced countries with the advance of information technology, and connection of global networks. Accordingly, a growing demand is emerging for more reliable individual certification with technical precision in order to measure and record learning achievements and credentials of participants. The present system has a limit in terms of registration capacity, therefore, its accuracy has often been questioned. Against this background, an individual certification system is proposed particularly for access control in e-learning. Under our proposed system, a compact optical correlator for facial recognition is employed. This correlator was previously tested for of biometrics authentication accuracy and proved highly reliable, having recorded remarkably low error rates (below 1%). The recorded error rate is sufficiently robust that the system itself can be regarded as a valid and practical viable attestation system.     

基于线性相位反演技术的自适应光学闭环实验研究

利用成像光学系统、变形镜、装有图像采集卡和D/A卡的PC机等建立了一套基于线性相位反演技术的自适应光学闭环实验系统.在Windows操作系统下用VC完成图像处理和控制算法.利用一台高测量精度的哈特曼传感器测量波前信息并评价自适应光学系统的校正效果.在不同像差大小状态下研究了这种基于线性相位反演技术的自适应光学系统的像差校正能力.收敛速度,稳定性等.实验结果表明,基于线性相位反演技术的自适应光学系统对静态小像差有较好的校正效果.     

新的具有光滑二次函数混沌系统的构建与实现

拓展和改变Lorenz混沌系统的非线性函数,构建一个新的具有光滑二次函数的自治混沌系统,系统包含3个系统变量乘积的非线性函数项和5个平衡点,详细讨论了平衡点的性质并计算了分形维数.利用分岔图和Lyapunov指数谱对系统随参数变化的情况进行分析后得出,系统会发生倍周期分岔.用数字信号处理芯片对混沌系统进行硬件实现,实验结果表明理论分析的正确性以及系统具有较为复杂的动力学行为. 关键词： 混沌系统 分岔图 Lyapunov指数 数字信号处理     

基于条纹反射术的槽式抛物面单元镜面形测量

针对太阳能热发电槽式抛物面聚光器单元镜面形测量的问题,采用条纹反射技术和时域相移解包裹技术相结合的方法,在三维轮廓测量系统模型的基础上,建立了一个结构简单、易操作的测量系统。在对系统设备无任何严格要求的前提下,利用投影仪向投影屏幕上投射正弦条纹,由相机拍摄记录单元镜反射产生的条纹,根据标定的系统参数及三维轮廓测量系统模型来计算单元镜表面面形。通过现场实验,获取了单元镜的面形分布情况,结论证明该测量方法的可行性。该测量系统的建立为以后的测量工作提供了一定的参考,并在太阳能热发电领域有很好的应用前景。     

倾斜式测量系统的傅里叶变换轮廓术研究

在传统傅里叶变换轮廓术的研究基础上,本文提出了一种倾斜式测量系统的傅里叶变换轮廓术,该技术放宽了传统傅里叶变换轮廓术测量系统的三个约束条件:CCD成像系统的光轴不需要与参考平面垂直,即有一定的倾斜度;投射系统的出瞳和CCD成像系统的入瞳中心之间的连线不需要与参考平面平行;投射系统的光轴和CCD成像系统的光轴不在同一平面内,且不交于参考平面上一点. 并且通过严格的理论分析,推导出高度与相位之间的关系式,与传统傅里叶变换轮廓术相比较,在保证一定的测量精度的前提下,倾斜式测量系统具有更强的实用性和可操作性. 关键词： 傅里叶变换轮廓术 倾斜式 测量系统 相位