一种混沌信号去噪方法的研究

以Takens嵌入定理和影子定理为理论依据，提出一种能对混沌信号去噪的局部投影方法。该方法不需潜在动力学系统的先验知识，符合工程实用的要求。通过实验结果表明这种方法对混沌信号去噪很有效。     

混沌电路同步的研究

本文叙述对混沌电路实现同步控制的实验研究之初步结果。所用的电路为蔡氏电路和锁相环电路。这项研究工作在通信系统中有应用前景。     

数字混沌扩频序列的盲估计

混沌序列具有非线性、宽带类噪声、大的码族、任意长的周期且容易产生的特性,因此在扩频通信系统中很有实用价值。本文将文献[1]中对伪随机扩频序列盲估计的方法推广应用到混沌扩频通信中,并对其不足提出了改进方法。在只知道扩频码周期而无其它任何先验知识的条件下,利用特征值分析的方法可以对数字混沌直扩序列进行盲估计,仿真实验证明了该方法的有效性。     

Optimal control of nonlinear systems to given orbits

Using optimal control techniques we derive and demonstrate the use of an explicit single-step control method for directing a nonlinear system to a target orbit and keeping it there. We require that control values remain near the uncontrolled settings. The full nonlinearity of the problem in state space variables is retained. The “one-step” of the control is typically a composition of known or learned maps over (a) the time required to learn the state, (b) the time to compute the control and (c) the time to apply the control. No special targeting is required, yet the time to control is quite rapid. Working with the dynamics of a well-studied nonlinear electrical circuit, we show how this method works efficiently and accurately in two situations: when the known circuit equations are used, and when control is performed only on a Poincaré section of the reconstructed phase space. In each case, because the control rule is known analytically, the control strategy is computationally efficient while retaining high accuracy. The target locations on the selected target trajectory at each control stage are determined dynamically by the initial conditions and the system dynamics, and the target trajectory is an approximation to an unstable periodic orbit of the uncontrolled system. A linear stability analysis shows that dissipation in the dynamical system is essential for reaching a controllable state.     

Electronic locking devices based on microcontrollers and chaotic maps using Model-Matching Control

In this work a real-time communication system using Arduino® microcontrollers, applied to electronic locking devices, is implemented. Model-Matching Control is used to achieve synchronization between transmitter and receiver Arduino® microcontrollers using only one transmission channel. Model-Matching Control is fed with dynamics from both Arduinos. Transmitter Arduino® is used also to generate in real-time an encrypted chaotic code key based on the Chen map. Receiver Arduino® recover in real-time the chaotic code key that is a binary signal key of an electronic locking device and where wireless communication is made between the two Arduinos using Bluetooth modules. System evaluation in terms of performance, randomness, and time complexity, are shown, as well as experimental results and some discussions are presented.     

基于混沌量子进化算法的单交叉口信号控制

城市道路各交叉口交通信号的配时优化和协同控制直接影响整个城市的交通状况.本文以单交叉口模型的交通信号控制问题为背景,构造了以单交叉口滞留的车辆数最少为目标的优化模型.用混沌量子进化算法进行仿真数据求解,得到实时控制的配时方案,并与其它算法的仿真结果进行比较,结果表明该算法对单交叉口的信号配时优化是非常有效的.     

一种新型混沌扩频卫星隐蔽通信算法

针对Logistic及改进型混沌映射只存在唯一满映射点的缺陷,设计了一种新型混沌映射函数,拓宽了满映射参数的取值范围,进而提高了混沌序列遍历性,并基于相干混沌移位键控技术,构建了新型混沌扩频卫星隐蔽通信系统。分别对新型混沌序列的随机性、相关性和平衡性,以及隐蔽通信系统的误码率进行了仿真分析,结果表明:新型混沌映射比已有映射遍历性更好,平衡性更高。原业务信号与扩频调制信号的功率比值大于20dB时,原业务接收机接收误码率基本不受影响。扩频因子为80、信道信噪比大于6dB时,隐蔽接收机误码率小于10-3,能满足一定的隐蔽通信要求。     

Effects of viscosity ratio and composition on development of morphology in chaotic mixing of polymers

This study investigated the effects of viscosity ratio (p) and composition on morphology development in an immiscible polymer system mixed under chaotic flow conditions. It was seen that morphology of the dispersed phase developed through a widely accepted route involving transitions from lamellas to fibrils and to droplets. It was found in experiments with p≥1 that the dispersed phase converted into droplets very rapidly with narrow droplet size distribution when p∼1. For higher values of p, the speed of morphological transitions slowed down, the droplet size distribution became wider, and much larger droplets were formed. Similar effects were observed at higher concentration of the dispersed phase. No self-similar scaling behavior was observed in the droplet size distribution, which can be attributed to the lack of self-similarity in the breakup of lamellas into fibrils.     

混沌和超混沌系统的自适应有限时间投影同步

在混沌系统投影同步的研究中,针对驱动-响应系统达到投影同步的时间不确定问题,提出了一种可以预先计算出同步时间,且在此时间内混沌系统实现投影同步的方法.对给定的驱动系统,构造合适的响应系统;采用自适应控制法,仅在误差系统的部分状态变量上加入自适应控制器;采用李亚普诺夫稳定性理论证明了在所采用的自适应控制律作用下,误差系统稳定同时驱动-响应系统达到有限时间投影同步.以典型的统一混沌系统和超混沌系统进行了数值仿真,结果进一步验证了上述控制方法的有效性与可行性.     

Chaotic forecasting of time series of heat-transfer coefficient for an evaporator with a two-phase flow

The time series of heat-transfer film coefficient for an evaporator with a vapor-liquid two-phase boiling flow were forecasted by the chaotic prediction or the local nonlinear short-term prediction. The forecasting method was based on the phase space reconstruction theory and a mathematic model in the form of datum driving had been developed to carry out the prediction. The signals of heat-transfer film coefficients predicted by this method were compared with those obtained from the experimental measurements. Different from the previous work, the comparisons in this work were done both from the point of view of the time trajectory and from the point of view of macroscopic or general characters. Besides the time-averaged statistics characteristics, such as the average value, average deviation and standard deviation, the power spectrum, phase plane map and chaotic invariants including the correlation dimension and Kolmogorov entropy had been calculated and been compared for the time series obtained both from the experimental measurement and from the forecast. The comparison for each parameter between the value calculated from the time series measured and that estimated from the time series forecasted by the chaotic forecast method shows satisfactory agreement. The limited length in time with an accuracy prediction indicates that the system is chaotic. The agreement of the comparison of the general parameter indicates that the chaotic prediction is effective for the estimations of the heat transfer characteristics of the two-phase flow boiling system and that the chaotic prediction method may be a potential tool for the effective thermo-fluid control for such evaporators.