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...     

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.