Dead-beat full state hybrid projective synchronization for chaotic maps using a scalar synchronizing signal

This paper provides a contribution to the topic of full state hybrid projective synchronization (FSHPS) by introducing an observer-based approach that enables synchronization to be achieved via a scalar synchronizing signal. The method is based on a theorem that assures dead-beat synchronization (i.e., exact synchronization in finite time) to a wide class of discrete-time chaotic (hyperchaotic) systems. Two examples, involving the hyperchaotic Grassi-Miller map and the hyperchaotic double scroll map, show that FSHPS can be effectively achieved in finite time using a scalar synchronizing signal only.     

Primary resonance of Duffing oscillator with fractional-order derivative

In this paper the primary resonance of Duffing oscillator with fractional-order derivative is researched by the averaging method. At first the approximately analytical solution and the amplitude-frequency equation are obtained. Additionally, the effect of the fractional-order derivative on the system dynamics is analyzed, and it is found that the fractional-order derivative could affect not only the viscous damping, but also the linear stiffness, which is characterized by the equivalent damping coefficient and the equivalent stiffness coefficient. This conclusion is remarkably different from the existing research results about nonlinear system with fractional-order derivative. Moreover, the comparisons of the amplitude-frequency curves by the approximately analytical solution and the numerical integration are fulfilled, and the results certify the correctness and satisfactory precision of the approximately analytical solution. At last, the effects of the two parameters of the fractional-order derivative, i.e. the fractional coefficient and the fractional order, on the amplitude-frequency curves are investigated, which are different from the traditional integer-order Duffing oscillator.     

时滞微分方程广义Hopf 分岔

本文运用Lyapunov-Schmidt 约化方法研究了一般时滞微分方程的分岔情况, 具体分析了当参数达到一个临界值时, 系统的无穷小生成元具有一对k 重非半单纯虚特征值的情形, 得到了判定分岔周期解存在性和分岔方向的判据, 而且该判据明显依赖于系统参数, 并通过对van der Pol 方程的详细分析进一步验证了我们的结果.     

超越莱布尼兹微积分和牛顿力学

探讨了分数阶微积分的来历、定义及例子,在物理上分析了分数阶速度的意义,揭示了分数阶振子的耗散性,指出了一些重要的应用.     

热激发效应对界面摩擦的影响

论文主要从微观角度研究摩擦热产生的机理及摩擦热对摩擦性能的影响. 依据固体物理学中原子热振动理论, 以界面摩擦为研究对象, 从分析界面原子的受迫振动出发, 得出界面摩擦过程中原子的振动实际上是自激振动和受迫振动的叠加, 界面原子在非平衡状态下的热振动将导致声子的激发和湮灭, 进而导致摩擦热的产生, 摩擦界面的温度升高. 然后, 从温度对界面原子能级分布和跃迁的影响角度探讨了热激发效应对界面摩擦的影响, 分析得出如下结论: 温度低时, 界面原子处在激发态的概率随着温度的升高而增加, 导致摩擦系数随温度增加而增加; 温度在100 K附近界面原子处在激发态的概率出现峰值, 导致摩擦系数出现峰值; 当温度高于临界值后, 摩擦系数随温度的升高反而会降低. 最后将本文的理论分析的结果与他人的实验结果对比, 显示两者的趋势一致, 表明本文提出的理论和方法可行.     

低频段紧凑型同轴相对论返波振荡器

基于P波段新型三周期慢波结构同轴相对论返波振荡器设计思想,设计了一个L波段同轴相对论返波振荡器。粒子模拟表明,在二极管电压591 kV、电流8.2 kA、导引磁场0.8 T时,获得了1.50 GW的微波输出,频率为1.64 GHz,效率达31%,器件慢波结构尺寸仅为f96 mm207 mm。分析了该器件实际高频结构的电动力学特性,重点研究了纵向谐振模式、品质因数等特点,并结合P波段的研究结果,得到了该类器件的相关设计指标:慢波结构长度约为一个波长,波纹周期约5/13波长,外波纹深度约1/10波长,内波纹深度约1/30波长,电子束半径约0.7倍外波纹平均半径,器件的纵向工作模式为0.8模,对应的Q值约16。     

高功率宽谱开关振荡器

采用1/4波长开关同轴谐振器技术路线,开展了高功率宽谱微波产生及耦合输出技术研究。设计振荡器工作在200 MHz,低阻抗1/4波长同轴传输线与传输线一端的环形多通道气体火花开关构成谐振器,耦合器由集中电容和分布电感构成,实现宽谱微波的能量提取。通过数值模拟研究了振荡器的振荡及耦合输出过程,分析了高压脉冲馈入方式、谐振器阻抗特性及开关齿槽结构对环形开关导通特性的影响。数值模拟和实验结果证明,采用直馈方式、高阻结构和齿槽结构有利于形成开关多通道导通,并提高开关导通的稳定性。在输出电压为500 kV的Marx脉冲功率源平台上构建了高功率宽谱微波产生实验装置,实验得到的宽谱微波振荡频率为195 MHz,辐射因子约150 kV,频谱带宽约30%。     

94 GHz单阳极磁控注入式电子枪初始参数设计

根据94 GHz回旋振荡管对电子束的需求,在理论分析电子枪工作原理的基础上通过大量编程对94 GHz单阳极磁控注入式电子枪的一系列参数进行了初始设计, 基于粒子模拟软件CHIPIC开发了专门针对磁控注入式电子枪的计算模块并对其进行了数值模拟。模拟结果显示:该枪的电子束横纵速度比为1.42、速度零散为4.6%,符合回旋振荡管对电子注的要求。     

开环全光混沌通信系统中的光纤信道结构

根据外光反馈半导体激光器及光纤传输方程,构建了基于光纤信道的开环全光混沌通信系统.考虑混沌调制和混沌键控两种信息加密方法,采用先进的校正相减解调法恢复信息,并且通过解调Q因子衡量系统性能.以不同次序排列单模光纤和色散补偿光纤构成4种结构的光纤信道,通过数值仿真分析信道结构对系统通信性能的影响.结果表明,为光纤信道保留少量的负累积色散有利于改善远程传输性能;两端补偿和中间补偿这两种对称结构的性能一致,对称结构优于非对称结构即预补偿和后补偿,适用于远程高速开环全光混沌通信.另外,无论光纤信道结构怎样,在远程高速激光混沌通信中混沌调制方法总是优于混沌键控方法.     

Modified variational iteration method for an El Ni no Southern Oscillation delayed oscillator

This paper studies a delayed air-sea coupled oscillator describing the physical mechanism of El Niño Southern Oscillation. The approximate expansions of the delayed differential equation's solution are obtained successfully by the modified variational iteration method. The numerical results illustrate the effectiveness and correctness of the method by comparing with the exact solution of the reduced model.