时滞

Stability and the approximate bifurcation periodic solution of a class of general Logistic model with time delay are discussed.

讨论了具有时滞的广义Logistic模型分支周期解的存在性、稳定性及近似分支周期解。

Approximation theory of real sliding mode in variable structure control of time-delay singular system.

时滞广义变结构控制系统的实滑模近似理论。全球智能控制与自动化大会， 2006，

The common assumptions on the time-delays of the system are not required; only one fuzzy approximator is needed for compensating all the unknown functions. Thus, the structure of the controller is simplified.

该方法取消了对系统时滞常做的假设，仅采用一个模糊逼近器便使所有的未知函数得到补偿，简化了控制器的结构。

In this thesis, we take the delay r as a bifurcation parameter to investigate the Hopf bifurcation phenomenon in system (1). By analyzing the associated characteristic transcendental equation of system (2), and using the Hopf bifurcation theorem, we obtain one condition for the existence of Hopf bifurcation in system (1). Furthermore, based on the center manifold theorem and the method of normal form, some interesting results about the properties of Hopf bifurcation are obtained, including the direction of Hopf bifurcation and stability of Hopf bifurcating periodic solutions.

我们以时滞T作为分支参数，研究了系统(1)的Hopf分支现象：通过分析系统(2)的特征超越方程，结合利用Hopf分支定理获得了系统(1)的Hopf分支存在的一个条件；利用中心流形定理和正规形方法分析了系统(1)的Hopf分支的性质，包括分支的方向和分支周期解的稳定性。

Then the delay is used in circadian model. Using the delay as a argument, the distribution of the roots of the characteristic equation associated with the model under light is analyzed. Then the stable and Hopf bifurcation condition of the circadian model with delay is obtained.

然后，将时滞引入到昼夜节律系统模型后，以滞量为参数，讨论光照昼夜节律模型线性部分特征方程根的分布情况，得到该系统的稳定性和Hopf分支产生的条件。

The asymptotic behavior of solutions for a class of delay differential systems was studied.

研究了一类时滞微分系统解的渐近性态。

In this article, we mainly discuss the asymptotic behavior, existence for nonoscillatory solutions and comparison theorems for oscillation.

本文主要讨论测度链上高阶时滞动力方程的渐近性、非振动解的存在性以及振动性的比较定理。

In the paper,we investigate the asymptotic behavior of three ecological models and the Hopf bifurcation for a class of Logistic model with time delays.

本文共分四个部分研究了三类生态模型解的渐近性和一类时滞Logistic模型的Hopf-分支问题。

The uniformly valid asymptotic expansion of the solution to a class of time delay differential equations with damping term and general forcing term was obtained and a simple analytic approximate expression for the resonance solution was given.

对于一类带阻尼和一般力的时滞微分方程问题求得一致有效渐近展开式，给出了共振解筒洁的近似解析表达公式。

Finally, the global asymptotic stability of the networks is studied with Lyapunov Direct Method.

第二章研究的是具有分布时滞的Hopfield型神经网络的稳定性。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。