Projective Synchronization Between Two Nonidentical Variable Time Delayed Systems

In this paper,we propose a method for the projective synchronization between two different chaotic systems with variable time delays.Using active control approach,the suitable controller is constructed to make the states of two different diverse time delayed systems asymptotically synchronize up to the desired scaling factor.Based on the Lyapunov stability theory,the sufficient condition for the projective synchronization is calculated theoretically.Numerical simulations of the projective synchronization between Mackey-Glass system and Ikeda system with variable time delays are shown to validate the effectiveness of the proposed algorithm.     

Oscillatory Dynamics and Oscillation Death in Complex Networks Consisting of Both Excitatory and Inhibitory Nodes

In neural networks, both excitatory and inhibitory cells play important roles in determining the functions of systems. Various dynamical networks have been proposed as artificial neural networks to study the properties of biological systems where the influences of excitatory nodes have been extensively investigated while those of inhibitory nodes have been studied much less. In this paper, we consider a model of oscillatory networks of excitable Boolean maps consisting of both excitatory and inhibitory nodes, focusing on the roles of inhibitory nodes. We find that inhibitory nodes in sparse networks (small average connection degree) play decisive roles in weakening oscillations, and oscillation death occurs after continual weakening of oscillation for sufficiently high inhibitory node density. In the sharp contrast, increasing inhibitory nodes in dense networks may result in the increase of oscillation amplitude and sudden oscillation death at much lower inhibitory node density and the nearly highest excitation activities. Mechanism under these peculiar behaviors of dense networks is explained by the competition of the duplex effects of inhibitory nodes.     

An adaptive scanning scheme for effective whole field stress separation in digital photoelasticity

In photoelasticity, the method of obtaining the individual values of principal stresses/normal stresses separately is referred to as stress separation. Shear difference method is one of the widely used techniques for stress separation in digital photoelasticity. Normally a simple raster scanning approach is used in shear difference method in which stress separation is carried out for all the lines within the model domain by either row-wise horizontally or column-wise vertically starting from the boundary pixels. This requires the presence of a free boundary to start the integration scheme for every row of interest, which is not always possible in most of the practical problems. In order to overcome this, in this paper, an adaptive scanning scheme is proposed so that stress separation can be carried out even if there is only one free boundary pixel available in the model. The new scanning scheme is validated using the theoretically generated data for the problem of a ring subjected to internal pressure. Later, the applicability of this scheme is demonstrated by using two other example problems.     

A weighting window applied to the digital image correlation method

In the digital image correlation method, two steps are used to calculate the displacements of tested images. The first step is to locate the integer-pixel displacement, and the next one is to compute the sub-pixel displacement based on the first step. The benefit from the computation method for the integer-pixel displacement is that its results directly affect the displacement accuracy of each point in tested images. In this paper, a new method is developed to calculate the displacement fields between two images taken before and after deformation of an object. A new correlation function with a weighting factor related to the position of each point in the image is taken into account. The analysis and experimental results confirm the validity of the new method. In addition, the calculation results from our method have more accuracy than that of the traditional one.     

Global Exponential Projective Synchronization and Lag Synchronization of Hyperchaotic Lii System

This paper investigates the projective synchronization and lag synchronization of a new hyperchaotic system [Physica A 364 （2006） 103]. On the basis of Lyapunov stability theory, two novel nonlinear controllers are respectively designed to guarantee the global exponential projective synchronization （including complete synchronization and antisynchronization） and lag synchronization. Finally, numerical simulations are given to show the effectiveness of the main results.     

时滞离散神经网络的同步控制

利用既有效又便于实施的时滞状态反馈控制器,根据所给定的条件构造相应的不等式,研究了带有时滞的离散神经网络模型的同步控制问题,给出了该离散系统指数同步的充分条件.在设计同步控制的时候,没有假设激励函数的有界性、可微性和单调性,给出的条件简便易实施.数值结果进一步证明了该控制方法的有效性. 关键词： 离散神经网络 时滞 同步     

不确定自催化反应扩散时空混沌系统的延时同步

设计了一种延迟同步控制器实现了时空混沌系统之间的同步控制.基于Lyapunov稳定性定理,确定了延迟同步控制器的结构以及系统状态变量之间的误差方程.以自催化反应扩散时空混沌系统为例,仿真模拟验证了该控制器的有效性.进一步设计了参量辨识器,对不确定自催化反应扩散时空混沌系统中的参量进行了有效辨识.通过研究有界噪声影响下系统的同步效果,表明该同步方法具有较好的抗干扰能力. 关键词： 时空混沌 延时同步 参量辨识 有界噪声     

变周期慢波系统内同步问题的研究

由于行波管的工作依赖于其慢波系统中的电子注与沿轴传输交变电磁场之间的相互作用而完成,而这样的相互作用要求沿轴传输的交变电磁场必须与电子注有着近乎同步的速度,所以慢波系统内的同步问题就成了研究行波管的一个很重要的问题.而变周期慢波系统是将一般慢波系统的周期进行变化而形成的,它可以比原周期慢波系统有着更宽的带宽,更高的互作用效率,还可以选择空间谐波.本文分析了变周期慢波系统内的空间谐波,提出了使慢波系统内的一次空间谐波一直与电子注同步所需要满足的原则,最后以变周期折叠波导为例,证明了这个原则. 关键词： 变周期 慢波系统 空间谐波 同步     

混沌光通信与OC-48光纤通信的波分复用

数值证实并分析了混沌激光通信与现行光通信的波分复用传输,对于100 GHz的信道间隔,混沌激光通信系统实现了传输速率为1 Gbit/s数字信号的保密传输,现行光通信系统实现了传输速率为2.5 Gbit/s数字信号的传输.研究表明,当现行光通信中脉冲光信号的峰值功率不超过17 dBm时,混沌激光通信可在传输距离80 km内实现并行传输.此外,当现行光通信中脉冲光信号的峰值功率为7 dBm时,系统接收到的信号质量受混沌激光通信的干扰很小,当光纤传输距离从80 km增加到160 km时,对应的眼图开启度从82% 关键词： 混沌光通信 混沌同步 波分复用 信道串扰     

非线性耦合完全网络的时空混沌同步

利用N个Fitzhugh-Nagumo模型作为网络节点,通过非线性耦合构成完全网络,研究了这种网络的时空混沌同步问题.首先给出了复杂网络中连接节点之间的非线性耦合函数的一般性选取原则.进一步基于Lyapunov稳定性定理,理论分析了实现网络同步的条件以及控制增益的取值范围.最后,通过仿真模拟检验了以Fitzhugh-Nagumo模型作为网络节点所构成的完全网络的时空混沌同步效果.仿真结果表明,这种完全网络不但同步快速有效,而且网络规模的大小对网络同步稳定性的影响不敏感. 关键词： 同步 复杂网络 时空混沌 非线性耦合