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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。

The solution of some practical problems in engineering can be regarded as that of periodic solution of nonlinear autonomous systems according to the opinion of mathematics, The problems of this kind are analysed by means of the direct numerical method in this paper,The simple and convenient Draw Newton Method is applied for solving the parameter vectors in iteration course along with the calculation of a practical engineering problem.

日I崖旨J,'口工程中的一些实际问题往往可以归结为非线性自治系统,例如描述同步发电机暂态稳定性问题的转子摇摆方程,即是一典型的非线性自治系统。虽然可以用各种小参数摄动法求解非线性系统,但是这类方法是依据对线性系统的解进行"摄动"来逼近非线性系统解的。因而当系统

Methyl bromides, in C_(3v) symmetry, have been extensively studied at their first absorption A-band because the behavior of these molecules can be used as a prototype for depicting numerous types of photodissociations in a variety of polyatomic molecules.

例如,有很多研究报道了C_(3v)对称的溴甲烷等分子在第一吸收带的光解,这是因为其光解行为可以作为理解其它多原子分光解的原型。

Zeros of linear polynomials with real efficients are the real solutions of the original polynomial equation.

5四元数二次方程的显式解:利用改进的新方法完全可以得到二次方程解的显式表示以及关于解的具体情况的一些充分必要条件。

The asymptotical properties of KdV equation and KP equation exhibit the soliton behavior when some conditions are satisfied, and in some cases the parameter matrices describing the interaction between two solutions is quite simple. Two kinds of solutions of the second coupled equations of AKNS hierarchy are provided and applied to NLS equation. A systemical way of construction of special solutions is also tried for DS equation. Most of the results on a scalar equation can often be directly generalized to some matrix equation, and the difference between the ω in scalar form and ω in matrix form lies only in the replacement of vector p, q by matrices p, q.

对KdV方程和KP方程渐近性质的讨论显现出解在一定条件下的孤子特性,从而使得一些情形下,同类解的相互作用体现在参数矩阵上变的较简单;我们给出了AKNS方程的两类不同解,并约化到NLS;对DS方程,我们从另一个方面初步探讨了形式化推导矩阵方程特解的方法;把这些有关标量ω的结果推广到ω为矩阵上往往只要把p,q变为矩阵即可,进而可以再推广到方程组上。

In this paper, by using the method tO get the arithmetic solution and with the formula calcuatring the moving particle trace in magnetic field, corrected be computer, it is easy to get the arithmetic solution, in addition,the result of solving is giv...

本文用求数值解的方法,使用经过计算机修正后的计算磁场中粒子运动轨迹的公式,可以非常迅速、简单地得到带电粒子在磁场中运动轨迹的数值解,并以图像给出解的结果。

If the neighborhood of equation solution is solvable and meets the point- by-point Lipschitz condition, stable boundary could be obtained as the convergence of the difference method is realized, and thus the stability is ensured.

方程解的邻近如果可解并具备逐点Lipschitz条件,则差分法收敛必有稳定界存在,从而差分格式收敛性保证其稳定性,因此可以放弃线性这一重要条件。

It could be adsorbed on the surface in either a dissociative or non-dissociative form.

它可以是以离解或非离解的方式吸附在表面。

At last, we calculate the gross calorific value of the pyrolytic gas. It shows that gas will provide enough energy to the degradation of tire.

最后对550℃的热解气的热值进行了计算,计算表明,热解气可以作为轮胎热解的热源。

According to the effects of nonlinear potentials on symmetries and their strength distributions, one is able to predict the existing discrete breathers in a given system, which is real helpful to theoretical analysis and numerical calculation.

根据各非线性势能系数对解的对称性的影响以及不同大小的非线性势能函数对解的影响强度的分布,可以对特定系统中可能存在的离散呼吸子解进行预测。

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With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务,乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐,因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。

Closes the eye, the deep breathing, all no longer are the dreams as if......

关闭眼睛,深呼吸,一切不再是梦想,犹如。。。。。。