Limit cycle bifurcations by perturbing a class of integrable systems with a polycycle

In this paper, we deal with the problem of limit cycle bifurcation near a 2-polycycle or 3-polycycle for a class of integrable systems by using the first order Melnikov function. We first get the formal expansion of the Melnikov function corresponding to the heteroclinic loop and then give some computational formulas for the first coefficients of the expansion. Based on the coefficients, we obtain a lower bound for the maximal number of limit cycles near the polycycle. As an application of our main results, we consider quadratic integrable polynomial systems, obtaining at least two limit cycles.     

Integrable Couplings of the Boiti-Pempinelli-Tu Hierarchy and Their Hamiltonian Structures

Integrable couplings of the Boiti-Pempinelli-Tu hierarchy are constructed by a class of non-semisimple block matrix loop algebras. Further, through using the variational identity theory, the Hamiltonian structures of those integrable couplings are obtained. The method can be applied to obtain other integrable hierarchies.     

基于数字非线性锁相环的相干态相位估计

基于量子理论获取相位参数的导航机制,理论上可以突破经典物理极限对导航精度的限制.利用量子零拍探测对相干态光场相位进行测量时,通常需要相位与之正交的本振光才能使测量精度达到量子标准极限.由于导航信号相位的高非线性特点,想要利用传统的线性锁相环获取完全满足条件的本振光具有一定的难度.为此,本文设计了一种基于容积准则的非线性锁相环,实现了在非正交本振光的条件下对相干态相位进行精确测量的功能.首先,利用相干态的Wigner函数推导了其相位在量子零拍探测的输出结果,设计了量子相位估计的非线性数字锁相环框架.然后基于正交单纯形容积准则设计了非线性滤波算法实现锁相环功能,该锁相环通过对本振相位进行多次状态更新,最终实现非线性迭代估计.实验结果表明,本文方法突破了本振光相位需与相干态相位正交的局限性,避免了传统量子锁相环方法引入的线性化误差,实现了对相干态相位的准确、稳定估计.     

二阶Y环频率选择表面的设计研究

利用分形结构的自相似性将分形理论应用于频率选择表面(FSS)领域即可使在单屏FSS上具有多频段带通滤波的特性,结合Floquet周期边界条件,采用矩量法研究了二阶Y环分形FSS在不同入射角度下迭代比例因子F及单元排布方式对频率响应特性的影响规律,给出谐振频率的经验估算值.计算及实验结果表明,FSS的谐振频率主要由迭代比例因子及起始单元尺寸决定,而透过率及-3 dB带宽则对排布方式的改变较敏感.实验结果与理论分析一致.     

激磁电感对直线变压器输出波形顶降的影响

 从理论上分析了激磁电感对直线变压器驱动源输出脉冲波形顶降的影响,使用Pspice软件对理论计算结果进行了模拟验证。理论计算和模拟分析的结果均表明：激磁电感越小,输出脉冲波形的顶降越明显。设计了50 A的偏磁电路并进行了实验,在重复频率为20 Hz时直线变压器驱动源工作稳定,输出脉冲波形前沿约35 ns,平顶约130 ns,幅值约125 kV。与未加偏磁电路的实验结果相比,顶降明显减小（小于5%）,实验结果与理论计算和模拟分析结果基本一致。     

小型球形脉冲氙灯光谱分析与实验测定

作为分析仪器和医疗仪器光源,脉冲氙灯的光谱特性直接影响着仪器的整体性能。为了研究脉冲氙灯放电回路参数及几何参数对其光谱特性的影响,利用气体放电理论分析了脉冲氙灯发光过程,设计了光谱检测系统,实验测定了脉冲氙灯在不同放电参数下的光谱特性。结果表明：脉冲氙灯光谱由连续谱和线状谱组成,连续谱有离子复合和韧致辐射产生,线状谱由电子能级跃迁产生。相对光谱辐射能量随着放电电压升高呈近似线性增长、并随着储能电容的变大而变大。在放电电压较低时,弧长较短时相对光谱辐射能量较大;在放电电压较大时,弧长越长相对光谱辐射能量越大。对于脉冲氙灯工作参数选取以及应用生产具有重要的意义。     

Runaway Electron Measurements in the EAST Tokamak

An experimental study of runaway electrons in the EAST tokamak has been performed by a recently developed multi‐channel hard x‐ray diagnostics based on NaI(TL) scintillator detectors. It is found that in the current quench phase, the inductive loop voltage plays an important role in the generation of runaway electrons. And the avalanche mechanism was the main mechanism for runaway electrons after the disruptions. The distribution and transportation of runaway electrons were also investigated by multi‐channel hard x‐ray diagnostics. It is also found that the intensity of runaway electrons emission in the core plasma was much higher than those in the downside of the cross‐section, while the emission intensity of runaway electrons in the core plasma was almost the same. Calculated shrinking coefficient of runaway electrons emission after the plasma disruption was about 26 m/s according to the experimental data (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

Oscillatory and anti-oscillatory motifs in genetic regulatory networks

Recently,self-sustained oscillatory genetic regulatory networks(GRNs) have attracted significant attention in the biological field.Given a GRN,it is important to anticipate whether the network could generate oscillation with proper parameters,and what the key ingredients for the oscillation are.In this paper the ranges of some function-related parameters which are favorable to sustained oscillations are considered.In particular,some oscillatory motifs appearing with high-frequency in most of the oscillatory GRNs are observed.Moreover,there are some anti-oscillatory motifs which have a strong oscillation repressing effect.Some conclusions analyzing these motif effects and constructing oscillatory GRNs are provided.     

定向红外对抗系统的激光源模拟研究

针对半实物仿真中定向红外对抗系统的有效模拟问题,在分析定向红外对抗激光源技术的基础上,依据实战应用,计算得到3 m~5 m波段定向红外对抗激光源的辐射能量为飞机红外辐射强度绝对值的8倍,结合波长4 m处简化的大气传输透过率随传输距离的变化,推导出实战应用中红外导引头上辐射照度随飞机导弹之间距离的变化规律。设计半实物仿真中定向红外对抗的模拟方案,依据逼真模拟的原则,计算得到模拟激光源能量随飞机导弹之间距离和飞机辐射强度的变化规律,据此将飞机导弹相互距离1 km时刻的红外干扰源辐射能量设置为波长4 m模拟激光源能量,其他距离的模拟能量通过衰减片来控制。为提高定向红外对抗模拟的通用性和智能性,设计了模拟激光源的闭环控制方案。