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Zhang proposed pseudo almost periodic function and pseudo almost periodic function sequence.

张传义教授提出了伪概周期函数和伪概周期序列。

The paper consists of two parts: one part concerns on the applications of almost periodic type functions, the other part concerns on remotely almost periodic function and slowly oscillating function and their applications.

本文主要包括两部分内容:一部分是关于概周期型函数应用的,另一部分是关于遥远概周期函数和缓慢振动函数及其应用的。

Based on these periodic models, this paper also creates aperiodic scheduling algorithm models of BS and DS which take account of the load distribution of high priority periodic tasks.

基于这些周期性调度模型,在不修改任务源码的条件下,通过在目标嵌入式系统中利用来自宿主桌面计算机的营养资源调节周期性任务的启动时延改善系统的整体实时性能。

Existing methods of scheduling both periodic and aperiodic tasks are all based on RM scheme. Among them, stealing slack time from periodic tasks has been proved to be an optimal method.

已有的解决混合任务调度问题的方法都是基于速率单调策略的,其中从周期任务"挪用时间"的算法被证明优于其他所有算法。

Algorithm application of neural networks.Ⅲ Implementation of neuro-computers. The main contribution of the dissertation can be summarized as follows: 1 Hopf bifurcation of three kind of neural networks are discussed in detail, including type of discrete time delay, type of time delay with weak kernel and strong kernel as well as the proof of existence of bifurcation. Other problems such as asymptotic stability of bifurcation periodic solution, algorithm of determining the bifurcation direction, asymptotic stability and style of periodic solution are also studied. The average time delay is chosen as the bifurcation parameter, phenomena pertinent to system states of the continuous time delay network with strong kernel evolving from stable to oscillating, then back to stable again are observed.

论文的主要创新之处可以归纳如下: 1)针对目前国内外对神经网络的分岔研究较少的情况,论文中详细讨论了带离散时延神经网络、带弱核的连续时延神经网络、带连续分布时延且具有强核的神经网络的Hopf分岔现象,从理论上证明了Hopf分岔的存在性,并研究了分岔周期解的渐近稳定性,得到了确定周期解的渐近稳定性、分岔方向、周期解的渐近形式的算法;用平均时延作为分岔参数,发现带强核的连续时延神经网络中存在着系统的状态由稳定变化到振荡现象,当继续增加平均时延参数时,又从振荡变为稳定这一特殊的动力学现象。

With the help of comparison theorem, sufficient conditions which guarantee permanence of the system are obtained. For the almost periodic case, by constructing a suitable Liapunov function, we obtained that the system has a unique globally asymptotically stable positive almost periodic solution. Finally, we study a multispecies predator-prey system with stage structure and Holling II type functional response.

第二部分考虑具有阶段结构的非自治扩散捕食系统,利用比较定理得到该系统持久生存的充分条件,其后在概周期情形下通过构造合适的Liapunov函数得到了保证该系统存在唯一一个全局渐近稳定的概周期解的条件。

Simulation results show that, for the fixed sampling frequency, the error rises with the frequency increasing of periodic signal, and decreases with the attenuation time constant increasing of non-periodic signal. The sampling frequency determines the upper limit of appropriate frequency band directly. The research provides the basis for the selection of cutoff frequency in filter design.

仿真结果表明,在采样频率确定时,对于周期信号,计算误差随频率的增加而增大,而对于非周期信号,计算误差随衰减时间常数的增大而减小,采样频率大小决定了插值法用于分布参数模型的适用频带上限,该研究为滤波器设计中截止频率的选择提供了依据。

And quasi-periodic and chaotic motion can bifurcate from periodic motion when parameters of the system are changed.

而在系统参数变化时,又由周期分叉形成了准周期和混沌。

Finally, by using a topological global existence result, we give the global existence of bifurcated periodic solutions and it is found that the system exists always a nonconstant periodic solution after the second critical value of the delay.

通过使用一个拓扑的全局存在性结果,还给出了分支周期解的全局存在性。结果表明在时滞的第二个临界值以后,系统总是存在一个非常数周期解。

The stability of the linear periodic system is determined by it's characteristic exponent. This paper studies how to assign characteristic exponent for linear periodic system. In order to do this, the original system has to be converted to the block controllable form by rotating transform first.

摘要线性周期系统的稳定性完全由它的特征指数决定,该文研究如何配置线性周期系统的特征指数,为了配置特征指数,首先需要用旋转变换将原系统化简成块能控标准形。

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