一类二阶泛函微分方程的振动性质

本文讨论了二阶泛函微分方程[a(t)φ(χ(t))Ψ(χ'(t))]'+Q(t,χ(t),χ(q(t)))=P(tχ(t),χ'(p(t)))的非振动解的性质与分类及解的振动性.     

非线性向量泛函微分方程解的振动比较定理

本文借助交换与不等式等方法将非线性向量泛函微分方程解的振动性与相应数量微分不等式是否存在正解作比较,得到若干振动比较定理并给出了具体应用.     

高阶泛函数分方程解的渐近分类与振动

本文借助于Ｌｅｂｅｓｇｕｅ测度等工具研究了一类高阶非线性泛函微分方程解的渐近分类与振动性。     

VECTOR COMPARISON PRINCIPLE FOR THE STABILITY OF MEASURE DIFFERENTIAL LARGE SCALE SYSTEMS

ＶＥＣＴＯＲＣＯＭＰＡＲＩＳＯＮＰＲＩＮＣＩＰＬＥＦＯＲＴＨＥＳＴＡＢＩＬＩＴＹＯＦＭＥＡＳＵＲＥＤＩＦＦＥＲＥＮＴＩＡＬＬＡＲＧＥＳＣＡＬＥＳＹＳＴＥＭＳ￥ＧｕａｎＺｈｉｈｏｎｇ（关治洪）（ＪｉａｎｇｈａｎＰｒｔｒｏｌｅｕｍＩｎｓｔｉｔｕｔｅ）＆Ｌ...     

基于DSP的便携式混沌保密通讯设备

混沌是在非线性动力系统中出现的类似随机而非随机的过程，其混沌序列在分布上不符合概率统计学原理，Logistic系统虽具有确定性，但其遍历统计特性等同于白噪声，具有形式简单，对初始条件敏感等诸多特性，随机数递归映像图显示谊混沌序列具有较强的随机性，利用谊特性，可以构建安全的加密系统。混沌加密的实质是用他难以预测的变化趋势来加密，而不是用某个难猜的数。本文介绍了一种以数字信号处理器为核心构建的通用混沌加密平台，该系统具有价格低廉、便于携带的特点。     

奇异系统的某些性质及其与奇异脉冲系统的稳定性等价

本文研究了与特征值相关的奇异系统解的构造及其性态，并讨论了奇异脉冲系统与奇异系统的稳定性等价。     

一类非线性矩阵微分方程的振动性

本文以矩阵不等式为主要工具,讨论一类非线性矩阵微分方程(R(t)Y′(t))′+Q(t)Y(t)+F(t,Y(t),Y′(t))=0的振动性,建立该系统的若干振动判据,并改进了文[1,5]的结果。     

The chaotification of discrete Hopfield neural networks via impulsive control

The chaotification of discrete Hopfield neural networks is studied with impulsive control techniques. No matter whether the original systems are stable or not, chaotilication theorems for discrete Hopfield neural networks are derived, respectively. Finally, the effectiveness of the theoretical results is illustrated by some numerical examples.     

Stability and Neimark-Sacker bifurcation analysis of food-limited population model with time delay

In this paper, a kind of discrete delay food-limited model obtained by Euler method is investigated, where the discrete delay τ is regarded as a parameter. By analyzing the associated characteristic equation, the linear stability of this model is studied. It is shown that Neimark-Sacker bifurcation occurs when τ crosses some critical values. The explicit formulae which determine the stability, direction, and other properties of bifurcating periodic solution are derived by means of the theory of center manifold and normal form. Finally, numerical simulations are performed to verify the analytical results.