Visibility graph similarity: A new measure of generalized synchronization in coupled dynamic systems

Synchronization is defined as interdependencies among coupled dynamic systems. In most coupled systems the intrinsic and internal variants, and the interdependencies among their subsystems are not accessible. Therefore, in order to quantify the interdependencies among the coupled systems, attempts have been made through measuring the synchronization between their outputs represented mostly as time series. In this paper a new method, called Visibility Graph Similarity (VGS), is presented as a method of measuring Generalized Synchronization. First, each time series is reconstructed as a trajectory in a state space. Next, a Distance Time Series (DTS) is created from a sequence of relative distances of the states to a reference state. Subsequently, a visibility graph (VG) is constructed using DTS. Then, a sequence of degrees of the VG, called Degree Sequence (DS), is obtained. Correlation of the DSs of two coupled systems is called VGS and is presented as a measurement of similarity of dynamics of the coupled systems. The synchronization measurement performance of the VGS is compared with synchronization likelihood (SL) and the classical cross correlation method using two identical and non-identical models of two coupled Henon map over the entire time domain. Also, it is compared with SL for tracing temporal synchronization using both models. It is shown that VGS provides a more accurate measure of the overall synchronization compared with SL. It is more reliable for measuring weak couplings compared with the cross correlation method. Moreover, VGS uses fewer parameters and detects the temporal synchronization sooner than the SL.     

Synchronization of switched system and application in communication

In this Letter, synchronization of switched system is investigated based on Lyapunov method. A sufficient condition is derived to ensure the synchronization between two switched systems, and a new communication scheme is also proposed based on this. Furthermore, some secure analysis works, such as return map attack and moving average error attack, are also given to show the security of the proposed scheme. Finally, simulation examples are constructed to verify the theoretical analysis and its application for communication.     

Onset of synchronization in weighted complex networks: the effect of weight-degree correlation

By numerical simulations, we investigate the onset of synchronization of networked phase oscillators under two different weighting schemes. In scheme-I, the link weights are correlated to the product of the degrees of the connected nodes, so this kind of networks is named as the weight-degree correlated (WDC) network. In scheme-II, the link weights are randomly assigned to each link regardless of the node degrees, so this kind of networks is named as the weight-degree uncorrelated (WDU) network. Interestingly, it is found that by increasing a parameter that governs the weight distribution, the onset of synchronization in WDC network is monotonically enhanced, while in WDU network there is a reverse in the synchronization performance. We investigate this phenomenon from the viewpoint of gradient network, and explain the contrary roles of coupling gradient on network synchronization: gradient promotes synchronization in WDC network, while deteriorates synchronization in WDU network. The findings highlight the fact that, besides the link weight, the correlation between the weight and the node degree is also important to the network dynamics.     

On-off collective imperfect phase synchronization and bursts in wave energy in a turbulent state

A new type of synchronization, on-off collective imperfect phase synchronization, is found in a turbulent state. In the driver frame the nonlinear wave system can be transformed to a set of coupled oscillators moving in a potential related to the unstable steady wave. In "on" stages the oscillators in different spatial scales adjust themselves to collective imperfect phase synchronization, inducing strong bursts in the wave energy. The interspike intervals display a power-law distribution. In addition to the embedded saddle point, it is emphasized that the delocalization of the master mode also plays an important role in developing the on-off synchronization.     

二进制偏移载波调制的零相关窗水声同步技术研究

针对线性调频信号同步相关的旁瓣、m序列扩频同步的序列自噪声和二进制相移键控调制信号在主瓣周围一个码片范围内存在较强烈的旁瓣三个问题,提出了一种基于二进制偏移载波(BOC)调制信号的无干扰窗水声同步方式.利用互补序列的非周期自相关函数之和为零的特殊性质,实现了在主瓣周围一个码片范围外,零相关窗范围内的无干扰窗.使用BOC(1,1)方式对信号进行亚载波调制,以减少主瓣周围一个码片范围内的旁瓣.对单通道信号和双通道信号的零相关窗形式都进行了设计,通过仿真和实验验证了BOC零相关窗方法在水声系统的同步、信道测量和估计中的有效性.     

Understanding synchronization induced by “common noise”

Noise-induced synchronization refers to the phenomenon where two uncoupled, independent nonlinear oscillators can achieve synchronization through a “common” noisy forcing. Here, “common” means identical. However, “common noise” is a construct which does not exist in practice. Noise by nature is unique and two noise signals cannot be exactly the same. How to justify and understand this central concept in noise-induced synchronization? What is the relation between noise-induced synchronization and the usual chaotic synchronization? Here we argue and demonstrate that noise-induced synchronization is closely related to generalized synchronization as characterized by the emergence of a functional relation between distinct dynamical systems through mutual interaction. We show that the same mechanism applies to the phenomenon of noise-induced (or chaos-induced) phase synchronization.     

基于金属氧化物半导体晶体管Colpitts混沌振荡电路及其同步研究

用金属氧化物半导体(MOS)晶体管模型取代传统Colpitts混沌振荡电路中的三极管模型, 提出了一种基于MOS管的Colpitts混沌振荡电路. 通过合适的归一化方法, 得到了与基于三极管电路类似的状态模型. 平衡点的指标说明两种结构产生混沌的机理并不相同. 然后, 通过参数反演, 得到了详细的电路参数, 并用Pspice软件仿真得到了混沌吸引子和混沌信号的频谱图, 说明了此结构可在低电压下工作并且能产生高频率的混沌信号. 最后, 用误差反馈的方法实现了这种结构的同步. 关键词： Colpitts混沌 金属氧化物半导体晶体管 低电压 误差反馈同步     

Synchronization between different motifs

In this paper,we study the synchronization between different motifs.First,the synchronization between two networks with different topology structures and different dynamical behaviours is studied.With the open-plus-closed-loop(OPCL) method,conditions for two different networks to realize synchronization are given.Then based on the theoretical results achieved,the synchronization between different motifs is studied,which verifies the effectiveness and feasibility of the synchronization scheme.     

基于三种方法的新Lü混沌系统的同步

分别用状态观测器法、主动控制法和Backstepping法研究了含有常数项的新Lü混沌系统的自同步问题.针对非严格反馈的新Lü混沌系统,分别基于以上三种方法设计了自适应控制器,依据Lyapunov稳定性原理证明了这些控制器能够较好地实现新Lü混沌系统的渐近自同步.数值仿真实验进一步验证了以上三种同步方法的有效性.经对三种同步方法比较分析,发现基于状态观测器的同步方法更加灵活高效. 关键词： 混沌同步 状态观测器 主动控制 Backstepping     

线状铜电极在磷酸溶液中电流混沌振荡的同步行为

研究了恒电位下两个铜线电极在磷酸溶液中的电流混沌振荡行为 ,通过恒定不同的电位数值 ,改变单个电极的电流振荡混沌行为 ,研究了不同混沌间的相互作用 .调整线电极间的距离 ,研究了电极间距对电流振荡行为的影响 .实验中两电极的振荡间呈现了复杂的耦合作用 ,耦合后的频率与耦合前电极原有的频率不同 .两电极的混沌电流振荡中呈现出同步、准周期同步和反相同步等现象 .电极距离一定时 ,振荡波形差别很大的两电极的电流容易呈现反相同步和准周期同步 ,波形差别不大时容易产生同步 .强的耦合导致电极间电流振荡的同步 ,电极距离的加大 ,电极间电流振荡难以产生同步 .对耦合作用机制也进行了探讨     

基于扩展目标的不变矩跟踪算法

 提出基于边缘区域的不变矩计算方法，在此基础上，针对在运动中形状、尺寸和方位不断变化的扩展目标，提出一种以不变矩作为跟踪特征，粗、精阶段相结合的相关跟踪算法，并根据目标图像的相关性给出一种新的跟踪置信度。实验结果显示算法迅速、有效、匹配精度高，对于复杂背景，较强噪声和运动状态发生变化条件下的扩展目标跟踪稳定可靠。     

Controllable coupling and quantum correlation dynamics of two double quantum dots coupled via a transmission line resonator

We propose a theoretical scheme to generate a controllable and switchable coupling between two double-quantum-dot (DQD) spin qubits by using a transmission line resonator (TLR) as a bus system. We study dynamical behaviors of quantum correlations described by entanglement correlation (EC) and discord correlation (DC) between two DQD spin qubits when the two spin qubits and the TLR are initially prepared in X-type quantum states and a coherent state, respectively. We demonstrate that in the EC death regions there exist DC stationary states in which the stable DC amplification or degradation can be generated during the dynamical evolution. It is shown that these DC stationary states can be controlled by initial-state parameters, the coupling, and detuning between qubits and the TLR. We reveal the full synchronization and anti-synchronization phenomena in the EC and DC time evolution, and show that the EC and DC synchronization and anti-synchronization depends on the initial-state parameters of the two DQD spin qubits. It is shown that the initial quantum correlation may be suppressed completely when the evolution time approaches to the infinity in the presence of dissipation. These results shed new light on dynamics of quantum correlations.     

无线自组织网络时钟同步系统设计研究

根据在时钟同步方面(Wireless Sensor Network,WSN)无线传感器网络和自组织网络具有的相似属性,WSN时钟同步方法可以运用到自组织网络当中。由于影响时钟同步的要素很多,存在抗干扰性弱、同步精度差等问题。根据主从同步的特点,运用脉冲位置测量法,无线传感器与网络时钟之间的关系,构建出一套相对完整的无线自组织网络时钟同步系统,并通过实验成功实现网络时钟数据的同步。     

Experimental synchronization of chaos in diode lasers with polarization-rotated feedback and injection

We demonstrate experimental chaos synchronization between two chaotic semiconductor lasers subjected to polarization-rotated optical feedback and unidirectional injection. This system allows high-quality synchronization to be obtained between dissimilar lasers in a wide range of chaotic operating regimes. Another feature of this system is its operation at high characteristic frequencies, taking advantage of all-optical implementation. Time series and RF spectra showing synchronization are confirmed by high correlation coefficients in excess of 0.85.     

最大似然参数估计水声通信帧同步技术研究

水声通信中传统帧同步方法仅仅依赖于匹配滤波输出的相关系数,在复杂信道条件下,容易出现误触发和漏同步。针对这一问题,分析了水声信道中噪声、多普勒和多径对帧同步的影响,提出了一种基于参数估计的帧同步方法.在同步过程中引入参数估计,将信号参数作为检测判决依据,以降低误触发率和漏检率;同时对最大似然估计算法进行适当简化,以降低实现复杂度。计算机仿真实验验证了新的帧同步方法相对于传统方法在定时精度和相关系数方面的优势。实际水声通信实验结果表明,无论是静止平台还是移动平台之间的通信,新的帧同步方法均能有效提高匹配滤波器输出的相关系数,提升接收机检测能力,从而避免出现误触发和漏同步。      

基于相位相关性的傅里叶变换光谱数据的相位误差修正方法

 相位误差的校正是傅里叶变换成像光谱仪数据处理的重要环节之一。针对干涉曲线的对称性特征,利用相位相关性计算方法,提出一种新的傅里叶变换光谱数据的相位校正的方法。将相位相关性拟合为Sinc函数,计算亚像素的偏移量,采用离散余弦变换转换到光谱域。使用标准光谱库中的源光谱数据作为原始数据,将通过离散余弦变换仿真的干涉数据与该方法得到的结果进行比较和验证,并与Mertz方法进行了对比。结果表明：该方法精度优于Mertz方法,并且计算简单。     

双路激光混沌复用系统的混沌同步及安全性能研究

针对一种新型的双路激光混沌复用系统, 建立相应的速率方程模型, 详细分析了两个主激光器的单个参数失配、多个参数同时失配、反馈强度差异以及频率失谐对混沌同步性能的影响, 并对此复用系统的安全性能和频谱性能进行了研究. 研究结果表明: 采用参数失配方案, 通过合理选择两个主激光器的参数, 可以保证两个主激光器之间的同步性能较差而两对主从激光器间实现高品质的混沌同步, 因此满足双路激光混沌复用的条件; 两个主激光器之间的参数失配对它们之间的同步性能影响较大, 然而对配对主从激光器间同步性能的影响并不明显, 进一步说明参数失配方案的有效性和可行性. 另外, 通过自相关函数和频谱分别分析混沌复用信号的时域和频域特征, 发现双路激光混沌复用系统可提供更高的安全性.     

经成像系统二次调制的动态散斑的空时相关性质

高斯光束经位于成像系统共轭面的两个散射体(其中一个是恒速运动)后,在距像面为菲涅尔区的观测面上形成了串级动态散斑场.理论分析和实验测量结果均表明,这种动态散斑的空-时相关函数与一次散射形成的动态散斑相比,对散射体的运动十分敏感,但其时间相关长度与速度的倒数仍然保持线性关系.     

Synchronization,zero-resistance states and rotating Wigner crystal

We show, in a framework of a classical nonequilibrium model, that rotational angles of electrons moving in two dimensions (2D) in a perpendicular magnetic field can be synchronized by an external microwave field whose frequency is close to the Larmor frequency. The synchronization eliminates collisions between electrons and thus creates a regime with zero diffusion corresponding to the zero-resistance states observed in experiments with high mobility 2D electron gas (2DEG). For long range Coulomb interactions electrons form a rotating hexagonal Wigner crystal. Possible relevance of this effect of synchronization-induced self-assembly for planetary rings is discussed.     

Sprott-B和Sprott-C系统之间的耦合混沌同步

Sprott-B和 Sprott-C是拓扑等价的异结构混沌系统. 利用系统变量线性耦合方法实现二系统之间的混沌同步；根据Lyapunov稳定性理论，确定了二系统达到同步时耦合系数的阈值. 设计了实现二系统耦合同步的实验电路，实验结果证明了理论分析的正确性. 基于Sprott-B和 Sprott-C异结构系统混沌同步，提出了一种新的具有更好保密性能的混沌保密通讯方法. 关键词： 线性耦合 混沌同步 异结构系统 拓扑等价