谐和与噪声联合作用下Duffing振子的安全盆分叉与混沌

研究了软弹簧Duffing振子在确定性谐和外力和有界随机噪声联合作用下，系统安全盆的侵蚀和混沌现象.推导出系统的随机Melnikov过程，根据Melnikov过程在均方意义上出现简单零点的条件给出了系统出现混沌的临界值，然后用数值模拟方法计算了系统的安全盆分叉点.结果表明，由于随机扰动的影响，系统的安全盆分叉点发生了偏移，并且使得混沌容易发生. 关键词： Duffing振子 安全盆 分叉 混沌     

Decline of minorities in stubborn societies

Opinion compromise models can give insight into how groups of individuals may either come to form consensus or clusters of opinion groups, corresponding to parties. We consider models where randomly selected individuals interact pairwise. If the opinions of the interacting agents are not within a certain confidence threshold, the agents retain their own point of view. Otherwise, they constructively dialogue and smooth their opinions. Persuasible agents are inclined to compromise with interacting individuals. Stubborn individuals slightly modify their opinion during the interaction. Collective states for persuasible societies include extremist minorities, which instead decline in stubborn societies. We derive a mean field approximation for the compromise model in stubborn populations. Bifurcation and clustering analysis of this model compares favorably with Monte Carlo analysis found in the literature.     

布尔函数设计中的爬山算法及其改进

针对布尔函数设计中的爬山算法,分析了算法中集合W_(2,3)~ 与W_(2,3)~-的性质,优化了该算法的部分计算。通过分析布尔函数自身的局部性质,提出了改进的爬山算法。实验数据表明:新的算法可以找到非线性度更高的布尔函数。     

从频域角度揭示混沌形成的整个过程

通过一个简单的非线性电路实例借助频谱分析仪从频域的角度揭示了混沌形成的整个真实过程以及在不同条件下的混沌现象。用实验记录了大量真实功率谱图,即2分频、4分频、8分频、16分频、混沌(含几种混沌带)及在混沌运动期间出现的各种周期窗口等壮观的现象。从而定性总结了混沌在频域中的一些特性,有助于认识混沌、控制混沌和应用混沌。     

用双混沌映射实现的数字水印算法

论文将原始彩色图像转换成灰度图像,通过密钥和非线性映射产生两个独立的实值序列,再从中派生出两个二值序列,先用两个实值序列置乱和加密二值水印图像,然后用派生的两个二值序列把被加密的水印图像嵌入到灰度图像中,实现数字水印。实验结果表明,这种数字水印鲁棒性强,隐蔽性好,具有一定的抗剪切和抗有损压缩攻击的能力。     

Non-coherent UWB Radio for Low-rate WPAN Applications: A Chaotic Approach

The requirements of low cost, low power and longer operation range for low-rate wireless personal area network (LR-WPAN) applications has driven the utilization of non linear communication approach. In this paper, a combined ultra-wideband (UWB) and chaotic communication technologies is proposed to meet these challenging demands. Among the candidates, the differential chaos shift keying (DCSK) modulation appears to be a very promising solution. The DCSK is a family of transmit reference (TR) system where a correlator based receiver is used to demodulate the received signal. However, this is not very well understood in the literature and therefore we will exemplify this issue in terms of noise performance. Furthermore, the feasibility study of the proposed DCSK is presented through the scalability and link budget analysis in two different operation modes. The system performance in both additive white Gaussian noise (AWGN) channel and standardized IEEE 802.15.4a UWB multipath channels are provided in order to further demonstrate the capability of the proposed system.     

混沌信号在色散光纤传输过程中的演化

研究了色散光纤混沌传输理论及混沌信号与色散光纤相互作用的物理机制;通过耦合激光混沌系统和色散光纤传输信道,提出了色散光纤混沌信号传输演化物理模型;提出混沌信号在色散光纤传输中的非线性演化频率啁啾和公式;着重分析光纤色散对激光混沌信号传输与演化的作用,色散能够展宽混沌信号脉冲,但不影响混沌信号的形状;色散能够改变混沌信号每个频谱分量相位,但不影响混沌信号频谱形状;色散能够改变混沌信号光场慢变场分量的变化,但不改变混沌信号包络时变特性,也不影响混沌信号脉冲的功率分布和场强分布;色散能够改变混沌吸引子在相空间整体旋转角度并使其旋转角度随光纤传输长度而发生改变,但不改变混沌吸引子在相空间中的内部结构.最后数值模拟了混沌信号在光纤传输过程中的相位、场慢变部分分量以及混沌吸引子等演化形式等.     

Vacuum Radiation,Entropy, and Molecular Chaos

Vacuum radiation causes a particle to make a random walk about its dynamical trajectory. In this random walk the root mean square change in spatial coordinate is proportional to t ^1/2, and the fractional changes in momentum and energy are proportional to t ^−1/2, where t is time. Thus the exchange of energy and momentum between a particle and the vacuum tends to zero over time. At the end of a mean free path the fractional change in momentum of a particle in a gas is very small. However, at the end of the mean free path each particle undergoes an interaction that magnifies the preceding change, and the net result is that the momentum distribution of the particles in a gas is randomized in a few collision times. In this way the random action of vacuum radiation and its subsequent magnification by molecular interaction produces entropy increase. This process justifies the assumption of molecular chaos used in the Boltzmann transport equation.     

Combination of two basic types of synchronization in a coupled semiconductor laser system

Combination of two basic types of synchronization, anticipatory synchronization and lagged synchronization, is investigated numerically between two coupled semiconductor lasers. It is found that lagged synchronization produced by a backward coupling with a suitable delay can combine with the originally hidden anticipatory synchronization and produce a type of synchronization overcoming the original lagged synchronization produced by a forward coupling. We study the combination synchronization phenomenon when the delay of the backward coupling is different from that of the original anticipatory synchronization. Our results suggest that the synchronization combination phenomenon might allow an interpretation of an experimental observation by Sivaprakasam et al. [Phys. Rev. Lett. 87, 154101 (2001)] that the anticipating time is irrespective of the external-cavity round trip time, which to date remains to be understood.     

Stabilizing the intensity of a wave amplified by a beam of particles

The intensity of an electromagnetic wave interacting self-consistently with a beam of charged particles as in a free electron laser, displays large oscillations due to an aggregate of particles, called the macro-particle. In this article, we propose a strategy to stabilize the intensity by re-shaping the macro-particle. This strategy involves the study of the linear stability (using the residue method) of selected periodic orbits of a mean-field model. As parameters of an additional perturbation are varied, bifurcations occur in the system which have drastic effect on the modification of the self-consistent dynamics, and in particular, of the macro-particle. We show how to obtain an appropriate tuning of the parameters which is able to strongly decrease the oscillations of the intensity without reducing its mean-value.