吸引性

Asymptotic behavior of mathematical ecological models is an important conception with rich connotation,which mainly includes attractability of the solutions,stability,periodicity and oscillation and so on.

数学生态模型解的渐近行为是一个具有丰富内涵的重要概念，其主要包括解的吸引性、稳定性、振动性与周期性等内容。

To date, most research on DTCNNs has restricted to the stability of a system[17-19,37,38].Few papers consider the existence and attractability of periodic so-lutions.

迄今为止，大多数文献局限于研究离散细胞神经网络模型的稳定性，很少考虑离散时间细胞神经网络周期解的存在性及吸引性问题。

Some useful notations and definitions are give in this chapter.In Chapter 2,a class of discrete-time model of two-cell cellular neural networks with symmetric temptate are investigated. We obtain some results about the stability,asymptotic stability,the existence and attractability of 2-periodic solutions.

第三章讨论了反馈矩阵为非对称矩阵的二元离散细胞神经网络模型的稳定性与渐近稳定性、周期解的存在吸引性，除了得到系统稳定和存在2-周期解的相关结果外，还得到了系统在原点出现类似于Hopf分支的局部分支以及多个吸引4k-周期解的共同存在性。

In this paper,the asymptotic property for two kinds of ecological systems and oscillation for solutions of a neutral differential equations is studied by employing differential inequalities and using eigenvalue analysis,iterative algorithm,induction and comparison theorem etc.Here, the system\'s asymptotic property includes the uniform persistence,the global attractability of the solutions,the asmptotic stability of the solutions and the oscillation of solutions.

本文利用微分不等式、特征根分析法、迭代法、归纳法及比较原理等方法和理论，研究了两类生态模型解的渐近性和一类脉冲中立型微分方程解的振动性，其中包括模型的一致持久生存性，正平衡态的全局吸引性、局部与全局渐近稳定性以及解的振动性。

The asymptoticbehavior of two ecological systems and the unconditionally stability and oscillations in kinds of 4-order delay difference equations are investigated by using analysis method, constructing Lyapunovfunctions, the logarithmic norm, charateristic roots theory and the bifurcation theory. Here, theasymptotic properity includes the uniform persistence, the global attractability of the solutions,the asymptotic stability of the positive solution local or global and the oscillations of solutions.

本文利用定性分析的方法、比较原理、特征值分析法、对数范数、构造Lyapunov函数及分支理论等方法和理论，研究了两类生态模型解的渐近性及一类四阶时滞微分方程解的无条件稳定性，其中包含模型的一致持久生存性、正平衡态的全局吸引性、局部和全局渐近性以及解的振动性等问题。

Under certain donditions ,the existence of generalized synchronization can be turned to the problem of compression fixed point in the family of Lipschitz functions.Theoretical proofs are proposed to the Lipschitz smooth,H lder continuity and exponential attractive property of generalized synchronization manifold.

若满足一定条件，广义同步流形的存在性问题可转化为Lipschitz函数族压缩不动点问题，并且理论上证明了两类广义同步流形的Lipschitz光滑性、H lder连续性和指数吸引性。

In this paper, the global attractivity is investigated firstly, which includes the existence and stability of positive trivial solution, the attractivity of positive solution, etc.

本文首先研究了三类生态模型解的渐进性，其中包括正平衡态的存在性和稳定性，正解的吸引性等，其次讨论了一类单种群模型解的振动性问题。

We obtain the sufficient conditions for the global attractivity of the zero solution and the positive equilibrium N.

研究具有多个滞量的离散Nicholson苍蝇模型的全局吸引性，获得了零解全局一致渐近稳定及正平衡态N＊全局吸引的充分条件，推广了已有的相应结论。

By using the iteration method,M-matris theory and monotonous theory,the sufficient conditions are obtained for global attractivity and boundedness and persistence of positive solutions of this difference system.

利用迭代理论、M—矩阵理论、单调理论，分析该系统的持久存在性和吸引性，得到了该差分系统一致持久存在和其正解全局吸引的充分条件。

Some of definitions on weak attractiveness and relevant decidable theorems are obtained in the paper by extending the definition of attractiveness of equation solutions and concrete example is also given.

通过放宽方程解的吸引性定义，得出了几个关于弱吸引性的定义和相关的判定定理，并给出具体实例。

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。