小波函数在混沌系统控制中的应用

1　概述1 1　小波分析的基本理论小波分析可以说是众多科学研究工作者经过近一个世纪的不懈努力和辛勤研究 ,在上个世纪末期在应用数学领域中迅速发展的一门新兴学科 ;由于它相对于Ｆｏｕｒｉｅｒ分析能真正实现“时 -频”分析和多尺度分析 ,能够更有效地从信号中提取信息 ,从而解决了Ｆｏｕｒｉｅｒ变换难以解决的问题 ,因而在信息处理、图象识别、数据压缩、系统辨识、故障诊断及控制等方面得到了广泛的应用 ,被预为“数学显微镜” ;传统上使用Ｆｏｕｒｉｅｒ分析的地方都可以用小波分析替代。如果函数Ψ (ｔ)∈Ｌ2 (Ｒ) ,且其Ｆｏｕｒｉ…     

Stabilization of spiral wave and turbulence in the excitable media using parameter perturbation scheme

This paper proposes a scheme of parameter perturbation to suppress the stable rotating spiral wave, meandering spiral wave and turbulence in the excitable media, which is described by the modified Fitzhug-Nagumo （MFHN） model. The controllable parameter in the MFHN model is perturbed with a weak pulse and the pulse period is decided by the rotating period of the spiral wave approximatively. It is confirmed that the spiral wave and spiral turbulence can be suppressed greatly. Drift and instability of spiral wave can be observed in the numerical simulation tests before the whole media become homogeneous finally.     

多模式离子推力器输入参数设计及工作特性研究

针对我国小行星探测任务对电推进系统离子推力器设计要求,基于等离子体基本理论建立了多模式离子推力器输入参数与输出特性关系,完成各工作点下屏栅电压、束电流、阳极电流、加速电压,流率等输入参数设计,采用试验研究和理论分析的方法研究了推力器工作特性.试验结果表明:在设计输入参数下,23个工作点推力最大误差小于3%,比冲最大误差小于4%,在功率为289—3106 W下,推力为9.7—117.6 mN,比冲为1220—3517 s,效率为23.4%—67.8%,电子返流极限电压随着推力增加单调减小,最小、最大推力下分别为-79.5 V和-137 V,放电损耗随着功率增大从359.7 W/A下降到210 W/A,并在886 W时存在明显拐点,效率随功率增大而上升,在1700 W后增速变缓并趋于稳定,在轨应用可综合推力器性能、任务剖面要求、寿命,合理设计输入参数区间,制定控制策略.     

An alternating periodic－chaotic ISI sequence of HH neuron under external sinusoidal stimulus

A study of Hodgkin－Huxley (HH) neuron under external sinusoidal excited stimulus is presented in this paper. As is well known, the stimulus frequency is to be considered as a bifurcate parameter, and numerous phenomena, such as synchronization, period, and chaos appear alternatively with the changing of the stimulus frequency. For the stimulus frequency less than 2f_B (f_B being the base frequency in this paper), the simulation results demonstrate that the single HH neuron could completely convey the sinusoidal signal in anti-phase into interspike interval (ISI) sequences. We also report, perhaps for the first time, another kind of phenomenon, the beat phenomenon, which exists in the phase dynamics of the ISI sequences of the HH neuron stimulated by a sinusoidal current. It is shown furthermore that intermittent transition results in the general route to chaos.     

孔系加工机构中曲拐传动的全力动平衡

针对孔系加工机构中曲拐传动存在的振动问题 ,提出了利用内平衡的方法实现曲拐轴的动平衡 ,并通过“力平衡法”实现曲拐传动机构的摆动力和摆动力矩完全力平衡 .减小或消除了整个传动机构的振动 ,提高了孔系加工的加工精度 .     

超低周变幅疲劳断裂设计的几个问题

从裂纹技术的断裂设计原理出发,在实验研究的基础上,对超低周变幅疲劳应力断裂的几个设计问题进行了探讨．结果表明：零载至断裂的加载方式是满足工程超低周疲劳断裂条件下最适宜的加载方式．     

激光催裂的初步研究

利用激光可实现对预制Ｖ型切口根部一定深度层内的淬硬，从而大大提高了材料的屈服强度，降低了断裂韧性值Ｋ＿（１ｃ），减少了疲劳断裂周次；并且实现了塑性较好材料的韧性断裂到脆性断裂的转化，降低了断裂能耗，提高了断料效率和断口质量。     

非线性时间序列的相空间重构参数估计的新算法

针对混沌理论中非线性时间序列相空间重构的理论和方法,提出一种估计嵌入维数和延迟时间的新算法,采用矢量空间平均位移法确定延迟时间;基于混沌吸引子上邻近点之间距离随着时间增加最终趋于饱和的特性,估算非线性时间序列相空间重构的嵌入维数. 实例表明,该算法可以有效估计非线性时间序列的相空间重构参数.     

基于数字图像处理的GCr15轴承钢金相组织定量分析

通过对GCr15轴承钢淬火+回火热处理后显微组织的扫描电镜金相图片的研究,探索一种实现其金相组织定量分析的数字图像处理方法.以Matlab软件为工具,采用数字图像处理中的灰度化、灰度调整以及形态学运算的数字化处理方法,计算碳化物颗粒所占比例的多少,从而实现轴承钢热处理质量评价.结果表明:运用数字图像处理技术可有效提取和量化淬火+回火热处理后的GCr15轴承钢中碳化物颗粒;试件轴承外圈比圆锥滚子的碳化物含量少得多,从而其力学性能也不相同.     

Control Chaos in Hindmarsh--Rose Neuron by Using Intermittent Feedback with One Variable

The mechanism of the famous phase compression is discussed, and it is used to control the chaos in the Hindmarsh-Rose （H-R） model. It is numerically confirmed that the phase compression scheme can be understood as one kind of intermittent feedback scheme, which requires appropriate thresholds and feedback coeffcient, and the intermittent feedback can be realized with the Heaviside function. In the case of control chaos, the output variable （usually the voltage or the membrane potential of the neuron） is sampled and compared with the external standard signal of the electric electrode. The error between the sampled variable and the external standard signal of the electrode is input into the system only when the sampled variable surpasses the selected thresholds. The numerical simulation results confirm that the chaotic H-R system can be controlled to reach arbitrary n-periodical （n = 1, 2, 3, 4, 5, 6,...） orbit or stable state even when just one variable is feed backed into the system intermittently. The chaotic Chua circuit is also investigated to check its model independence and effectiveness of the schemes and the equivalence of the two schemes are confirmed again.