基于时分复用技术的甚多束光脉冲产生系统

提出了一种基于时分复用技术的全光纤、全固化的用于惯性约束聚变驱动器的甚多路光脉冲产生系统.系统中采用单纵模振荡器输出连续激光信号,利用时分复用技术结合高速电光调制技术实现序列脉冲的产生和甚多束脉冲的独立整形.采用偏振无关的声光调制技术实现甚多束脉冲的独立输出.每个序列脉冲包含8个子脉冲,子脉冲间隔设置为120ns,对子脉冲独立整形和选单后将其传输放大至微焦耳量级输出.实验成功验证了采用时分复用技术完全可以实现序列脉冲输出,各子脉冲可以独立任意整形且最后的单束输出能量为1.275μJ.     

Lagrange equations of nonholonomic systems with fractional derivatives

This paper obtains Lagrange equations of nonholonomic systems with fractional derivatives. First, the exchanging relationships between the isochronous variation and the fractional derivatives are derived. Secondly, based on these exchanging relationships, the Hamilton's principle is presented for non-conservative systems with fractional derivatives. Thirdly, Lagrange equations of the systems are obtained. Furthermore, the d'Alembert–Lagrange principle with fractional derivatives is presented,and the Lagrange equations of nonholonomic systems with fractional derivatives are studied. An example is designed to illustrate these results.     

超混沌分数阶Lü系统电路实验与追踪控制

对提出的新型超混沌Lü系统,研究了其分数阶混沌系统,通过数值仿真和电路实验,证实了分数阶超混沌Lü系统的混沌行为.利用分数阶系统稳定性理论,设计简单的线性反馈控制器,成功地实现了分数阶超混沌Lü系统的所有状态向量与正弦信号和任意不动点的追踪控制.仿真结果表明了该方法的有效性. 关键词： 分数阶Lü系统 超混沌系统 电路实验 追踪控制     

Mei conserved quantity of Nielsen equation for anon-Chetaev-type non-holonomic system

<正>The Mei symmetry and Mei conserved quantity of the Nielsen equation for a non-Chetaev-type non-holonomic non-conservative system are studied.The differential equations of motion of the Nielsen equation for the system,the definition and the criterion of Mei symmetry and the condition and the form of Mei conserved quantities deduced directly from the Mei symmetry for the system are obtained.Finally,an example is given to illustrate the application of the results.     

电光双稳态系统的混沌控制与同步

根据长延时状态下电光双稳系统的特点,提出了实现其混沌控制与同步的具体方案.数值模拟的结果表明：适当选取驱动强度及驱动系统的状态,不仅可以实现对响应系统不同周期状态的稳定控制,还可以实现驱动系统与响应系统间的广义混沌同步.以最大李雅普诺夫指数为标准,给出了实现混沌同步的参数范围.     

自发辐射诱导相干对开放的Ladder型系统无反转激光增益瞬态演化的影响

利用开放的Ladder型三能级原子系统密度矩阵运动方程的数值解,研究了在探测场和驱动场双共振条件下,自发辐射诱导相干（SGC） 对系统无反转激光（LWI）增益瞬态演化的影响以及注入速率比和退出速率对与SGC相关的增益的调制作用.研究结果表明：SGC强度的变化将使瞬态增益和最终的稳定增益发生显著的改变;存在非相干抽运时,LWI增益随注入速率比和退出速率的减小而增大,而不存在非相干抽运时的情况与此正好相反;通过选取适当的SGC强度、注入速率比和退出速率可得到最大的LWI增益的瞬态值和最终的稳定值. 关键词： 开放系统 自发辐射诱导相干 瞬态演化 无反转增益     

New two-mode intermediate momentum-coordinate representation with quantum entanglement and its application

We construct four linear composite operators for a two-particle system and give common eigenvectors of those operators. The technique of integration within an ordered product (IWOP) of operators is employed to prove that those common eigenvectors are complete and orthonormal. Therefore, a new two-mode intermediate momentum-coordinate representation which involves quantum entanglement for a two-particle system is proposed and applied to some two-body dynamic problems. Moreover, the pure-state density matrix | ξ ₁ ,ξ ₂ >_C,DC,D< ξ ₁ ,ξ ₂ | is a Radon transform of Wigner operator.     

解的移植法与含源耦合VCmKdV方程的解

根据变系数modified Korteweg-de Vries（VCmKdV）方程与常系数KdV-mKdV方程的非线性项、色散项的相似性,对解已知的KdV-mKdV方程做适当变换,并将它的解移植到解未知的VCmKdV方程,由此构造出两个不同方程解之间的移植关系.利用这种解的移植方法,求得了由两层流体模型经演化获得的含有源（或汇）耦合VCmKdV系统新的精确解和类孤波解.对Bcklund变换与解的移植法进行了比较,分析了源和汇对波幅的影响. 关键词： 解的移植法 KdV-mKdV方程 耦合VCmKdV系统 类孤波解     

一类具有四翼吸引子的超混沌系统

构造超混沌系统在目前并非难事,在Chua系统基础上构造具有多涡卷拓扑结构的吸引子也有很多系统方法,但较少有文献讨论基于Lorenz系统族的拥有多翼结构吸引子的光滑混沌系统,而同时具备超混沌特性和多翼拓扑结构吸引子的光滑混沌系统则更少报道.在现有超混沌系统的基础上,分析其共性,并利用坐标变化方法将其转为具有四个翼的超混沌吸引子.该方法在保留了系统原有超混沌特性的基础上,增加了吸引子的拓扑结构复杂性,使之更适合保密通信等领域的应用. 关键词： 多涡卷吸引子 多翼吸引子 超混沌     

Circuitry implementation of a novel nonautonomous hyperchaotic Liu system based on sine input

Based on the three-dimensional Liu system with a nonlinear term of square, this paper appends a state variable to the system, and further adds a driving signal of the sine signal to construct a novel 4-demensional nonautonomous hyperchaotic Liu system. The appended variable is formed by the product of the nonlinear quadratic term of the original state variables and the driving signal. Through adjusting the frequency of the driving signal, the system can be controlled to show some different dynamic behaviors. By numerical simulations, the Lyapunov exponent spectrums, bifurcation diagrams and phase diagrams of the novel systems are analyzed. Furthermore, the corresponding hardware circuits are implemented. Both the experimental results and the simulation results confirm that the method is feasible. The method, which adjusts the frequency of the input sine signal to control the system to show different dynamic behaviors, can make the dynamic property of the system become more complex, but easier to be controlled accurately as well.