工科物理中介绍“混沌与分形”的认识与实践

介绍一种用普通物理风格讲授混沌与分形的教学方案，实践证明该方案可使学生较容易地掌握复杂现象的物理本质     

A voltage-controlled chaotic oscillator based on carbon nanotube field-effect transistor for low-power embedded systems

This paper presents a compact and low-power-based discrete-time chaotic oscillator based on a carbon nanotube field-effect transistor implemented using Wong and Deng＇s well-known model. The chaotic circuit is composed of a nonlinear circuit that creates an adjustable chaos map, two sample and hold cells for capture and delay functions, and a voltage shifter that works as a buffer and adjusts the output voltage for feedback. The operation of the chaotic circuit is verified with the SPICE software package, which uses a supply voltage of 0.9 V at a frequency of 20 kHz. The time series, frequency spectra, transitions in phase space, sensitivity with the initial condition diagrams, and bifurcation phenomena are presented. The main advantage of this circuit is that its chaotic signal can be generated while dissipating approximately 7.8 μW of power, making it suitable for embedded systems where many chaos-signal generators are required on a single chip.     

激光微多普勒探测系统中降低相位噪音影响的方法研究

相干微多普勒激光雷达具有探测灵敏度高、探测信息量大等特点,特别适合于动目标探测、目标特征识别等应用.本文从线宽和探测距离两个方面讨论了模场相位随机起伏（相位噪音）对于测速准确度的影响,实验证实了相位噪音对激光微多普勒探测的影响,并探索出解决上述问题的方法——光纤补偿法.实验中,以输出波长为1.064 μm单块非平面环形腔激光器为光源,利用光纤补偿方法,并结合时频变换的算法,用外差探测的方式成功观测到了微多普勒频移,在传输距离为11 km时,系统最低探测速度达到了0.5 mm/s,速度分辨率达到了mm/s量级,频率分辨率达到了kHz量级,为微多普勒激光雷达的实际应用奠定了良好的实验基础.     

A new kind of nonlinear fractional-order chaotic phenomenon in coupled systems： coexistence of anti-phase and complete synchronization

In this paper, we have found a kind of interesting nonlinear phenomenon hybrid synchronization in linearly coupled fractional-order chaotic systems. This new synchronization mechanism, i.e., part of state variables are anti- phase synchronized and part completely synchronized, can be achieved using a single linear controller with only one drive variable. Based on the stability theory of the fractional-order system, we investigated the possible existence of this new synchronization mechanism. Moreover, a helpful theorem, serving as a determinant for the gain of the controller, is also presented. Solutions of coupled systems are obtained numerically by an improved Adams Bashforth-Moulton algorithm. To support our theoretical analysis, simulation results are given.     

基于径向小波神经网络的混沌系统鲁棒自适应反演控制

设计了一种具有自适应性和鲁棒性的反演控制律, 实现了对含有系统不确定性的类Rossler系统的控制. 首先通过小波神经网络辨识系统的非线性部分, 将系统转化为含有结构不确定性和参数不确定性的参数化模型; 然后, 对于系统中的参数不确定性, 设计自适应控制律, 在线估计未知参数; 对于系统中的结构不确定性, 设计鲁棒控制律, 使得系统具有鲁棒性. 最后, 通过仿真实现, 验证了以上控制方法的有效性.     

双环掺铒光纤激光器混沌偏振控制方法研究

提出双环掺铒光纤激光器激光混沌的偏振耦合控制以及部分偏振控制方法,偏振耦合控制能控制耦合相互作用以控制激光混沌,部分偏振控制是控制部分偏振耦合效应以控制激光混沌.数值模拟了偏振耦合控制混沌和某一个环的部分偏振控制混沌,它们都能实现把双环掺铒光纤激光器激光混沌控制到稳定态和周期态上;通过实时调控光的偏振方向,这两种混沌控制方法都能实时地、动态地、有效地控制激光混沌进入到稳定态和周期态上.     

基于平稳小波和相空间重构的激光混沌预测

提出了一种激光混沌时间序列预测算法.该算法通过平稳小波分解，将原始数据序列分解为与原序列等长的尺度系数和小波系数，利用坐标延迟理论，重建各级尺度系数和各级小波系数的相空间,再根据混沌吸引子的稳定性和分形性,在相空间中对尺度系数和小波系数进行预测,进而通过平稳小波重构算法,实现了时间序列的非线性预测.该算法对数据可以进行更平滑的处理，比无小波算法预测的时间范围更长.通过仿真试验说明，原始时间数据序列被成功的重建，说明算法能够有效的对非线性动态系统的时间序列进行建模和预测.     

对几个物理学名词的修改意见

西方人在制订新的科学名词时,常常从拉丁语或者古希腊语里发掘出一些生僻的单词,或者利用它们的词根来制造新的术语.这样做可以区别于日常用语,一目了然地看出是专门名词.我们身为炎黄子孙,当然首先要从祖先留下来的古代汉语里寻找适当的字词.在这方面已经有一些成功的例子……     

Multiplexing Chaotic Signals Generated by Colpitts Oscillator and Chua Circuit Using Dual Synchronization

We demonstrate multiplexing chaotic signals generated by two totally different dynamic systems (one is a Colpitts oscillator and the other is a Chua circuit) using dual synchronization and propose a method to select the proper coupling parameters. In the response systems, the cross coupling method is used, in which the voltage difference between the sum of two master oscillators and one slave oscillator is converted to current and then feed into the other slave oscillator. The result in this letter offers a potential multiuser coherent chaotic communication scheme where different chaotic oscillators can be used in one system.     

耦合映象格子时空行为的电路仿真实验

设计以一维逻辑斯蒂离散电路作为元胞子电路的耦合格子时空电路系统,利用PSPICE仿真平台,观测到该电路系统存在的各种时空动力学行为.仿真实验结果与计算机数值计算结果一致.