查询词典 stochastic

In the study of the stochastic chaos in simple pendulum, the random Melnikov process is derived and the mean-square criterion is used to determine the threshold amplitude of the bounded noise excitation for the onset of the chaos or random chaos in the system. For the coupled simple pendulum and harmonic oscillator, the Melnikov function is used to determine the condition for the onset of chaos in the case of Hamiltonian perturbations. In the case of non-Hamiltonian perturbation, the generalized random Melnikov process and mean-square criterion are used to determine the threshold amplitude of the bounded noise for the onset of random chaos.

在随机混沌研究中，应用随机Melnikov过程的均方准则研究了单摆在有界噪声激励下发生混沌或随机混沌时有界噪声激励的临界幅值；对于耦合的单摆-谐振子系统，先用Melnikov函数研究了在哈密顿扰动下发生混沌的必要条件；然后用推广的随机Melnikov过程方法研究了在非哈密顿扰动下发生随机混沌的必要条件；用最大Lyapunov指数及Poincaré截面方法结果与上述理论结果作了对比。

We extend Frankel (1986) and Lai、Hu and Wang (1996) models, where using target zone policy and simultaneous stochastic differential equation methods, to investigate whether the honeymoon effect proposed by Krugman (1991) is present when the government adopts a target zone policy on agricultural prices.

我们将延伸Frankel(1986)及Lai、Hu与Wang(1996)分析农产品市场的概，配合目标区政策及随机微分方程之方法，探讨当农产品及非农产品价格皆可瞬时调整时；政府宣告目标区政策，民众的预期将如何影响农产品价格及其他经济变之稳定性。

Main results:(1) For the stochastic Volterra type integral equation with singular kernels,it is the first time to be investigated under non-Lipschitz conditions. The existence-uniqueness and Hlder\'s continuity are established.Here,an extended Minkowski\'s inequality plays a key role.

主要结论：(1)关于具有奇异核的随机Volterra型积分方程，我们首次在非Lipschitz条件下进行研究，得到解的存在唯一性和Hlder连续性(此处证明的一个关键步骤应用了推广的Minkowski不等式)。

In chapter 4 we obtain the uniform packing dimension of image set for stablesheet by means of distribution of the sojourn time and the tail probabilitydistribution for the increment maximum of stochastic process over interval.

第四章利用随机过程在区域上增量最大值的尾概率分布的估计和逗留时估计找出其象集的Packing一致维数。

When the sojourn time of deteriorating state, inspection interval and maintenance time are the stochastic variables which follow the general distribution, the phase-type approach is proposed to preserve the analytical tractability of the transition probability matrix. To solve the problem that the PH distribution changes the state space of system, the value iteration algorithm for the semi-Markov decision process is improved to get the optimal inspection and maintenance policy.

针对模型中劣化阶段停留时间满足一般分布的情况，提出了一类基于位相型分布拟合的近似处理方法，将物理意义上的状态进行概率扩展，简化了维修决策的求解过程，并给出了对应的改进迭代算法，同时从理论上证明了该算法的收敛性。

The influence of stochastic dispersion on optical soliton communication system and its reduction are investigated for the first time.

本论文阐述作者在参加有关掺铒光纤放大器的科研项目中所做的一些工作。

On the basis of Monte Carlo method,this paper developed simulation method of fuel meat,and simulated the stochastic space locations of spherical fuel particles in the meat.The fuel volume fraction is 43％,and the particles are in definite size distribution.

本文根据Monte-Carlo原理建立了弥散型燃料芯体的模拟方法，并用该方法模拟了燃料相体积分数为43％和具有一定尺寸分布的球形燃料颗粒在芯体中的空间随机排列。

In Chapter 3, stability and stabilization of stochastic systems are investigated.

第三章研究随机系统的稳定性和镇定。

Based on the peak distribution analysis of stationary stochastic process,the general expression for the peak probability density function of a stress process is described.

利用平稳随机过程峰值的概率分析，给出了计算应力峰概率密度函数的公式。

While we pay attention to the convergence rate towards stationary distribution, many scholars study the stochastic stability in others way, that is the tail behavior of the stationary distribution, and have got many good results.

人们在关注收敛速度的同时，又有许多学者从另外一个角度研究其稳定性，即平稳分布的尾部性质，且已得出许多很好的结果。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。