一类具有时滞和Gompertz增长率的捕食系统的稳定性与Hopf分支

研究一类具有时滞和Gompertz增长率的捕食系统,通过分析系统的特征方程,得到正平衡点的局部稳定性和系统出现Hopf分支的条件,并利用中心流形定理和规范型理论,得到确定Hopf分支方向和分支周期解稳定性的计算公式．     

一类具有时滞的生态一流行病系统的稳定性和Hopf分支

讨论一类食饵染病的时滞捕食一被捕食者模型,通过分析特征方程,得到正平衡点局部稳定和Hopf分支存在的条件．同时,应用中一tl,流形定理和规范型理论研究正平衡点处Hopf分支方向和分支周期解的稳定性．最后,通过数值模拟对理论结果进行了说明．     

South Asia's Missile Expansion

ABSTRACT

Over the past decade, contrary to declarations that they are pursuing “minimum” deterrence, India and Pakistan have considerably expanded their missile forces. India has developed eleven types of missiles while Pakistan has fielded nine. These missile forces have a mixed impact on deterrence stability. Both states' medium-range missiles strengthen their countervalue deterrent capabilities against the other, though India's China-specific missiles still have limitations. India's and Pakistan's short-range missiles and first-generation naval systems raise concerns about nuclear ambiguity, command and control, and escalation across the nuclear threshold, ultimately undermining deterrence stability on the subcontinent.     

REGIONAL PERSPECTIVES ON LOW NUCLEAR NUMBERS

President Barack Obama has outlined a course toward lower numbers of US nuclear weapons. Much attention has been paid to the US-Russian context, where deterrence is believed to be basically stable and conditions ripe for gradually reducing arsenals on both sides. But considerably less attention has been paid to the possible implications of lower nuclear numbers on other regions of the world and the reactions of both adversaries and US allies. If nuclear reductions are to be stabilizing and beneficial to security, reassurance and strengthened nonproliferation efforts in various regions need to accompany nuclear cuts. But the specific problems and remedies across regions vary. This article summarizes the results of a multi-author study. It concludes that regions with US allies and formal extended deterrence pledges may pose more vexing problems than those areas of the world without such close allies or commitments.     

NUCLEAR STABILITY AT LOW NUMBERS

Chinese writings on the workings of nuclear stability, deterrence, and coercion are thin and politicized. Nevertheless, it is possible to glean, from direct and inferential evidence, rather pessimistic conclusions regarding Chinese views of nuclear stability at low numbers. While China has been living with low numbers in its own arsenal for decades, today it views missile defense and advanced conventional weapons as the primary threat to nuclear stability. More generally, China views nuclear stability as wedded to political amity. Because none of these would be directly addressed through further US and Russian arsenal reductions, China is unlikely to view such reductions as particularly stabilizing. While there is little in Chinese writing to suggest lower US and Russian numbers would encourage a “race to parity,” there are grounds to worry about China becoming more assertive as it gains confidence in Beijing's own increasingly secure second-strike forces.     

一类具有免疫时滞和病毒颗粒的HIV模型的动力学性态分析

考虑感染细胞的治愈和未感染细胞吸收作用的影响,研究一类具有免疫时滞和病毒颗粒的HIV模型,通过分析特征方程研究平衡点的局部稳定性,利用规范型理论和中心流行定理得到确定Hopl分支方向和分支周期解稳定性的计算公式,并通过构造Lyapunov泛函,讨论未感染平衡点的全局稳定性．     

反舰导弹大空域变轨的三维扩展比例导引律

为了使大空域变轨弹道的理论研究更符合反舰导弹的实际运动状态,建立了反舰导弹追踪虚拟目标的三维空间相对运动模型。同时,为了保证反舰导弹大空域变轨弹道的四段弹道平滑过渡,在导引律设计时同时考虑了脱靶量要求和末端落角要求。应用Lyapunov稳定性理论求解出满足要求的三维扩展比例导引律,对大空域变轨弹道的四段弹道设计了相应的过载控制指令,并进行了仿真研究。仿真结果表明:所提出的三维扩展比例导引律可以使反舰导弹顺利完成大空域飞行任务,而且保证了反舰导弹的所有性能指标均满足要求。     

潜艇不机动纯方位解算编队目标运动要素方法

针对单艘潜艇纯方位目标定位必须潜艇机动才能使算法收敛的问题,首次采用几何分析法研究了潜艇不机动情况下,解算编队目标运动要素的方法;然后,基于最小二乘法,给出了具体的解算模型,并给定态势,进行实例仿真。证明该算法能够满足潜艇隐蔽对编队目标定位的需要,进一步丰富了潜艇纯方位目标定位方法。     

运动模糊图像的运动模糊方向鉴别

曝光瞬间造成图像模糊的运动通常作为直线运动近似处理,若能找出模糊图像的运动模糊方向,并将之旋转到水平轴,则二维问题可简化为一维来处理,大大简化由模糊图像估计出运动模糊点扩散函数以及图像恢复的过程,并为图像恢复的并行计算创造有利条件。由于运动模糊降低了运动方向上图像的高频成分,沿着运动方向实施高通滤波(方向微分),可保证微分图像灰度值(绝对值)之和最小。基于此,本文利用双线性插值的方法,固定并适当选取方向微分的微元大小,构造出3×3方向微分乘子,得到了高效高精度的自动鉴别运动模糊方向的新方法,并通过数值实验进行了验证。     

无人飞行器静稳定性问题的研究

从飞行器静稳定性的定义出发,介绍了3种不同的静稳定性,即纵向静稳定性、横向静稳定性和航向静稳定性。分别讨论了3种静稳定性的判据,进一步分析了影响静稳定性的部件和因素,说明了采用放宽静稳定性对无人飞行器产生的影响。