基于数学形态学的表面原子熔融相的 STM图像识别算法

高温扫描隧道显微镜(HT-STM)可以实时原位地捕捉到表面原子的熔化相变过程.在这一原位变温实验中,快速可靠地识别出每帧STM图像中的熔融相十分关键.传统的手工统计方法存在效率低下、随意性大等问题.我们发展出一套基于数学形态学的算法,来自动快速地识别.与人工方法相比,该算法消除了人为主观误差,使确定的边界更加准确、光滑,处理效率提高了266倍.     

Equilibrium points and bifurcation control of a chaotic system

Based on the Routh-Hurwitz criterion, this paper investigates the stability of a new chaotic system. State feedback controllers are designed to control the chaotic system to the unsteady equilibrium points and limit cycle. Theoretical analyses give the range of value of control parameters to stabilize the unsteady equilibrium points of the chaotic system and its critical parameter for generating Hopf bifurcation. Certain nP periodic orbits can be stabilized by parameter adjustment. Numerical simulations indicate that the method can effectively guide the system trajectories to unsteady equilibrium points and periodic orbits.     

碾压混凝土坝渗流场与应力场耦合模型研究

针对碾压混凝土坝存在众多施工层面问题,提出了确定影响层厚度以及相应物理力学参数的方法;在此基础上,探讨并建立了碾压混凝土坝渗流场与应力场两场耦合模型,研制了相应的三维有限元程序．研究表明,结合试验和理论分析确定的碾压混凝土坝层面影响层的厚度、弹性模量和泊松比等参数更切合实际;提出的碾压混凝土坝渗流场与应力场两场耦合模型,能较好地体现两场耦合作用,开发的三维有限元模型能较充分反映碾压混凝土坝施工层面的特性．通过研究,为分析施工层面对碾压混凝土坝变化性态影响,以及了解大坝的应力和渗流的相互作用提供了科学依据．     

Dynamic bifurcation of a modified Kuramotoben Sivashinsky equation with higher-order nonlinearity

Under the periodic boundary condition, dynamic bifurcation and stability in the modified Kuramoto—Sivashinsky equation with a higher-order nonlinearity μ(u_x)^pu_xx are investigated by using the centre manifold reduction procedure. The result shows that as the control parameter crosses a critical value, the system undergoes a bifurcation from the trivial solution to produce a cycle consisting of locally asymptotically stable equilibrium points. Furthermore, for cases in which the distances to the bifurcation points are small enough, one-order approximations to the bifurcation solutions are obtained.     

Langford系统Hopf分叉的线性反馈控制

分析Langford系统的Hopf分叉现象，并研究采用线性反馈控制方法控制该系统的Hopf分叉.从理论上推导出受控系统产生Hopf分叉的条件，给出了某些极限环的解析表达式，对该系统进行了分叉点的转移与极限环的稳定性控制.数值模拟说明本文采用的方法对Langford系统的Hopf分叉控制是有效的. 关键词： Langford系统 反馈控制 Hopf分叉 极限环     

带有B&L转换规则的Vp(X)和R控制图的经济设计

在已有Vpx和R控制图基础上,结合B&L转换规则,构建了控制图经济模型,给出了相应的费用函数.运用数值实例将构建的模型与现有Vp 和R控制图进行了比较分析,发现构建的模型可以明显的缩短报警时间,减少单位生产费用.并针对数值实例,运用了遗传算法搜索经济设计的最优解,验证了该模型的节约效果.     

首次测定短寿命缺中子同位素153Er和157Yb的EC/β+衰变纲图

利用¹⁶O重离子束轰击¹⁴²Nd和¹⁴⁷Sm同位素靶分别生成¹⁵³Er和¹⁵⁷Yb.借助氦喷嘴带传输系统和X-γ、γ-γ符合测量方法分离鉴别核素并测量其衰变性质.首次建立了¹⁵³Er和¹⁵⁷Yb的EC/β⁺衰变纲图.从中指认出¹⁵³Ho的一个新三(准)粒子态和两个新单粒子态,指认出¹⁵⁷Tm的一个新的同质异能态和一条新转动带.低位能级系统分析表明:在Ho和Tm这两条奇A核的同位素链中基态形状的转变区都在中子数86和88之间.     

Quantum Nonlocality and Entanglement of Pair Cat States with Phase Decoherence

We investigate the entanglement of pair cat states in the phase damping channel by adopting the log-negativity and then study the possible violations of Bell＇s inequalities for the pair cat states in terms of the Wigner representation in phase space based upon parity measurement and displacement operation.     

Entanglement Dynamics of a Three-Level Atom in Ξ Configuration

Dynamical behaviour of entanglement between the cavity mode and a three-level atom in the configuration is studied by making use of log-negativity. The influence of initial temperature of the thermal field and detuning on the entanglement is investigated. It is found that the maximal values of entanglement decreases with the temperature of the thermal field and can be controlled by the defaming.     

Bifurcations of a parametrically excited oscillator with strong nonlinearity

A parametrically excited oscillator with strong nonlinearity, including van der Pol and Duffing types, is studied for static bifurcations. The applicable range of the modified Lindstedt－Poincaré method is extended to 1/2 subharmonic resonance systems. The bifurcation equation of a strongly nonlinear oscillator, which is transformed into a small parameter system, is determined by the multiple scales method. On the basis of the singularity theory, the transition set and the bifurcation diagram in various regions of the parameter plane are analysed.