连续混沌调频信号的动力学设计与分析

提出了基于连续混沌时间尺度变换的连续混沌调频信号动力学设计理论,并以Colpitts电路为例给出了具体的实现模型.通过吸引子重构和Lyapunov指数分析,阐述了连续混沌调频信号的动力学特性.结果显示连续混沌调频信号的最大Lyapunov指数与混沌信号的最大Lyapunov指数相同;连续混沌调频信号的动力学设计实现方式简单且系统参数易于控制,同时信号形式与数学意义上的连续混沌调频信号保持一致.     

再入尾迹湍流对雷达散射截面影响分析

通过探讨高超声速再入湍流尾迹等离子体场中电磁波的散射机制,推导出在工程上描述湍流亚密等离子体雷达散射的一阶畸变波Born近似模型,分析了该模型在充分发展湍流尾迹等离子体场中的适用性,完成了适用于三维尾迹等离子体场的程序设计.以已有的湍流尾迹等离子体流场数据为基础,分析了再入尾迹湍流等离子体流动对雷达散射截面的影响.选取考察的几个有代表性的因素为:湍流模型、转捩过程、湍流尺度、电子组分脉动初始条件等.由结果可以看到,湍流转捩过程和湍流尺度对雷达散射截面值影响不大;电子组份脉动强度初始值影响较明显;湍流模型在特定条件下影响亦不大.     

翼型近尾迹流动的PIV研究

利用在线式互相关PIV系统,在低速风洞中对NACA0012翼型的近尾迹流动进行了实验研究。实验结果表明,翼型近尾迹存在有序的涡街结构,涡街在尾缘处形成后,在向下游的迁移中,会经历一个发展壮大,失稳破碎,最终演化为湍流的过程、本文分析了近尾迹流动结构、流动机制,探讨了近尾迹流动中旋涡和涡街的稳定性．本文指出在翼型尾缘处采用恰当的流动控制措施,可以改变尾流与其下游物体相互作用的形式和机制,以达到兴利除弊的目的。     

基于小波变换的光混沌信号消噪与Lyapunov指数计算

针对动力学方程未知且信噪比小的光混沌信号,采用小波多分辨分解算法对其进行噪音消减.用Lorenz混沌信号对该算法的消噪效果进行了检验.提出利用互信息量法和Cao氏法来改进小数据量法在时间延迟和嵌入维数计算上存在的主观选择性,对经过噪音消减的Lorenz混沌信号利用此改进的小数据量法计算其最大Lyapunov指数.结果表明,信噪比可提高近10 dB左右,最大Lyapunov指数计算误差可减少近30%,并求得半导体放大器光混沌信号的最大Lyapunov指数为0.389 6.     

再入体缩比模型湍流等离子体电磁散射特性测量

介绍了在弹道靶上利用二级轻气炮发射再入体缩比模型开展湍流等离子体电磁散射特性模拟试验方法、湍流等离子体的雷达散射截面积(RCS)测量方法。给出了模型尾迹湍流等离子体的电磁散射特性测量典型试验结果,对获得的试验结果进行了分析,并与一阶畸变波Born方法计算结果进行了比较。结果表明:合理选择缩比模型发射速度和飞行环境压力,在弹道靶上能够模拟产生湍流等离子体;利用激光阴影成像技术获得的锥模型尾迹流场图像证实了尾迹转捩的出现及其湍流形成;在给定的试验条件下,锥模型及其绕流RCS测量值比其尾迹RCS测量值高3个数量级,比背景散射电平高0.5~2.5个数量级,且信号没有周期性,幅度脉动范围为1~15dB,频率脉动范围0.4~40kHz;锥模型湍流尾迹RCS的脉动可能是尾迹电子密度的脉动引起的;单站X波段雷达系统测量的锥模型尾迹亚密湍流等离子体的散射信号测量值与计算结果变化规律一致;弹道靶RCS测量技术可用于再入体缩比模型湍流等离子体电磁散射特性研究,为开展相关研究提供了一种有效的地面模拟实验研究途径。     

空气湍射流速度时间序列的最大Lyapunov指数以及湍流脉动

用热线风速仪采集了圆喷嘴空气射流的速度时间序列,并采用一种基于最大Lyapunov指数不变性的混沌时间序列分析方法,计算了出口雷诺数在939≤Re≤3758范围内的速度信号的最大Lyapunov指数以及湍流的非拟序脉动.结果表明,最大Lyapunov指数随着雷诺数的增加而增大,随着离开喷嘴出口距离的增加而减小,而且最大Lyapunov指数的倒数与关联时间是正相关的.湍流的非拟序脉动随着雷诺数的增加以及随着离开喷嘴出口距离的增加均是逐渐增大的,而且湍流的非拟序脉动与Kolmogorov尺度是负相关的.     

宽带高幅驱动静电探针与湍流扰动的传播途径

在KT—5C装置上用高输出能力的宽频带功率源驱动静电探针调制等离子体湍流振动，研究了等离子体边界湍流扰动的传播特性。在实验中用静电探针和磁探针探测到该功率源驱动的扰动沿磁力线传播，得出湍流扰动既可通过静电涨落形式传播，又可通过电磁落落选径传播。     

尾缘吹气式稳定器近尾迹流动研究

本文在低速风洞中,利用在线式互相关ＰＩＶ系统,对尾缘吹气式火焰稳定器及Ｖ型火焰稳定器的近尾迹流动进行了测量,分析了瞬态场尾流结构,表明了可控横向射流与主流的相互作用形成可变回流区的特点及其与钝体回流区在流场结构上的不同,为揭示气动稳定器的稳焰机理及燃烧性能的进一步研究提供了重要的理论依据。     

一种具有恒Lyapunov指数谱的混沌系统及其电路仿真

提出了一种新的具有恒Lyapunov指数谱的三维混沌系统,该系统含有六个参数,其中一个方程含有一个非线性乘积项,一个方程含有平方项.通过理论推导、数值仿真、Lyapunov维数、Poincare截面图、Lyapunov指数谱和分岔图研究了系统的动力学特性,并分析了不同参数变化对系统动力学行为的影响,其中,平方项系统参数变化时,系统的Lyapunov指数谱保持恒定,输出信号中的两维信号的幅值与参数呈幂函数关系变化,其指数为－1/2,第三维信号的幅值保持在同样的数值区间.最后,设计了该混沌系统的硬件电路并运用Multisim软件对该电路进行仿真实验,证实了该混沌系统的可实现性. 关键词： 混沌系统 恒Lyapunov指数谱 Poincare截面图 混沌电路     

耦合方式与初始条件结构对分数阶双稳态振子环形网络同步的影响

在由分数阶双稳态振子通过最近邻耦合构成的环形网络中研究了振子的同步与耦合方式以及初始条件结构的关系.通过选择初始条件结构、耦合方式和强度,可以控制网络呈现振幅死亡同步态、振幅死亡非同步态、混沌同步态和混沌非同步态等多种动力学行为.参数平面区域ε3-ε2内的最大条件Lyapunov指数和最大Lyapunov指数的等高线进一步表明,y与z方向的耦合竞争对网络的动力学行为的影响结果敏感地依赖于网络的初始条件结构.     

First and second order non-equilibrium phase transition and evidence for non-extensive Tsallis statistics in Earth’s magnetosphere

In this paper strong evidence is provided for significant far from equilibrium phase transition processes in the Earth’s magnetosphere as revealed by the nonlinear analysis of in situ observations. These results constitute the solid base for the solution of the durable controversy about the chaotic or non-chaotic character of the magnetospheric dynamics. During the last two decades the concept of low dimensional chaos was supported by theoretical and experimental methods by our group in Thrace and others scientists, as an explicative paradigm of the magnetospheric dynamics including substorm processes. In parallel, the concept of self-organized criticality (SOC) and space-time intermittency was introduced as new and opposing to low dimensional chaos concepts for modeling the magnetospheric dynamics. Novel results concerning the nonlinear analysis of in situ space plasma data (magnetic-electric field, energetic particles and bulk plasma flow time series) obtained by the Geotail spacecraft presented in this paper for the first time reveal the following: (a) Coexistence of SOC and chaos states in the magnetospheric system and global phase transition from one state to the other during substorms. (b) Strong intermittent turbulent character of the magnetospheric system at the SOC or the low dimensional chaos states. (c) Clear indications for non-extensivity and q-Gaussian statistics during periods of low dimensional and chaotic dynamics of the magnetosphere. (d) Low dimensional and nonlinear space plasma dynamics in the day side magnetopause and bow shock dynamics. The dual character of the magnetospheric dynamics including low dimensional chaotic (coherent) and high dimensional turbulent states, as supported in this paper, is in agreement and verifies previous theoretical and experimental studies.     

Chaotic dynamics in the electroconvection system of a nematic liquid crystal

The transition from a steady domain structure to turbulence in the electroconvection system of a nematic under the action of a constant electric field is studied using the methods of optical and acoustic responses. The chaotic dynamics is investigated both by conventional methods (Fourier signal spectrum) and by methods of nonlinear dynamics. From the quantitative estimates of basic characteristics of the chaotic behavior (namely, the correlation dimension, leading Lyapunov exponent, K-entropy, and embedding dimension), one can conclude that temporal chaos arises in the system, giving rise to a strange attractor, as the control parameter increases at ɛ ≥ ɛ _c ≈ 0.5. The fact that the distribution of laminar domains in the liquid-crystal layer depends on their length under the conditions of developed turbulence indicates that the dynamics of the nematic demonstrates the intermittent behavior.     

Multiscaling dynamics of impurity transport in drift-wave turbulence

Intermittency effects and the associated multiscaling spectrum of exponents are investigated for impurities advection in tokamak edge plasmas. The two-dimensional Hasagawa-Wakatani model of resistive drift-wave turbulence is used as a paradigm to describe edge tokamak turbulence. Impurities are considered as a passive scalar advected by the plasma turbulent flow. The use of the extended self-similarity technique shows that the structure function relative scaling exponent of impurity density and vorticity follows the She-Leveque model. This confirms the intermittent character of the impurities advection in the turbulent plasma flow and suggests that impurities are advected by vorticity filaments.     

Turbulence transition and the edge of chaos in pipe flow

The linear stability of pipe flow implies that only perturbations of sufficient strength will trigger the transition to turbulence. In order to determine this threshold in perturbation amplitude we study the edge of chaos which separates perturbations that decay towards the laminar profile and perturbations that trigger turbulence. Using the lifetime as an indicator and methods developed in Skufca et al., Phys. Rev. Lett. 96, 174101 (2006), we show that superimposed on an overall 1/Re scaling predicted and studied previously there are small, nonmonotonic variations reflecting folds in the edge of chaos. By tracing the motion in the edge we find that it is formed by the stable manifold of a unique flow field that is dominated by a pair of downstream vortices, asymmetrically placed towards the wall. The flow field that generates the edge of chaos shows intrinsic chaotic dynamics.     

Noise due to turbulent flow past a trailing edge

A theoretical method [I] for calculating far field noise from an airfoil in an incident turbulent flow is extended to apply to the case of noise produced by turbulent flow past a trailing edge, and some minor points of the theory in reference [1] are clarified. For the trailing edge noise, the convecting surface pressure spectrum upstream of the trailing edge is taken to be the appropriate input. The noise is regarded as generated almost totally by the induced surface dipoles near the trailing edge and thus equal, but anticorrelated, noise is radiated into the regions above and below the airfoil wake, respectively. The basic assumption of the analysis, from which these concepts of appropriate input and dominance of dipole sources follow, is that the turbulence remains stationary in the statistical sense as it moves past the trailing edge. The results show that such trailing edge noise often is quite small, compared say to that produced by typical oncoming turbulence levels of one percent, but that it might be appreciable for an airfoil with a flow separation, or for a blown flap.     

Effect of gap flow on the shallow wake of a sharp-edged bluff body – mean velocity fields

This experimental study was carried out to investigate the turbulent shallow wake generated by a vertical sharp-edged flat plate suspended in a shallow channel flow with a gap near the bed. The objective of this study is to understand the effect of the gap flow on the wake by studying two different gap heights between the channel bed and the bottom edge of the bluff body. These two cases will be compared to the no-gap case which is considered as a reference case. The maximum flow velocity was 0.45 m/s and the Reynolds number based on the water depth was 45,000. Extensive measurements of the flow field in the vertical mid-plane and in the horizontal near-bed, mid-depth, and near-surface planes were made using particle image velocimetry. This paper is part of an extensive study to characterise the gap-flow effects and is primarily concerned with the mean velocity fields, while a companion paper discusses the turbulence characteristics. The size of the wake identified in the horizontal planes is found to vary in the three planes, where the gap flow enhances the entrainment in the near-wake region in the near-bed velocity field. The results also revealed that, if the gap flow is weak, it is engulfed by the recirculation zone formed just behind the bluff body whose axis is perpendicular to the vertical mid-plane. On the other hand, if the gap flow is relatively strong, it penetrates in the downstream direction and only a portion of it is diverted upward to feed the recirculation zone.     

Effect of gap flow on the shallow wake of a sharp-edged bluff body – turbulence parameters

This experimental study was carried out to investigate the turbulent wake generated by a vertical sharp-edged flat plate suspended in a shallow channel flow with a gap near the bed. The objective of this study is to understand the effect of the gap flow on the turbulent wake by studying two different gap heights between the channel bed and the bottom edge of the bluff body. These two cases were compared to the no-gap case which is considered as a reference case. The maximum flow velocity was 0.45 m/s and the Reynolds number based on the water depth was 45,000. Extensive measurements of the flow field in the vertical mid-plane and in the horizontal near-bed, mid-depth, and near-surface planes were made using particle-image velocimetry (PIV). This paper is the second part of an extensive study to characterise the gap-flow effects and is primarily focused on the mean and instantaneous turbulence quantities as well as coherent structures.

The results revealed that the gap flow increased the transfer of the turbulent kinetic energy (TKE) from the streamwise to the vertical component along the vertical mid-plane. In addition, there is a corresponding increase and spread of the transverse component in the transverse direction as the flow evolves in the downstream direction. The momentum exchange by the Reynolds stress is significantly weak in the vertical mid-plane particularly in the lower half of the water depth, but the gap flow enhanced the momentum exchange in the upper half of the water depth by up to 1% of the freestream velocity squared. Furthermore, the intensity and bursting direction of the turbulence fluctuations in the far field are also affected by the gap flow when it is large. Furthermore, the proper orthogonal decomposition results revealed that the flow contains a large number of structures, and their interactions are responsible for deforming and/or tearing apart the structures, and transferring fluid throughout the velocity field.     

基于DDES模拟的叶顶间隙流湍流特性研究

叶顶间隙泄漏流使得叶片顶部流动变得复杂,对间隙泄漏流的流动结构进行精细地捕捉并探讨其湍流特性有利于更深入的了解间隙泄漏流的流动机理,为控制泄漏损失提供依据.本文利用延迟脱体涡模拟方法对叶顶间隙泄漏流动进行非定常数值模拟;然后从叶顶间隙流的流动涡结构演变,湍动能和各向异性等方面研究叶顶间隙流的湍流特性;利用POD模态分解...