分岔

This study suggests that it is not appropriate to only use the Casson equation to simulate the whole flow field of the carotid bifurcation, and on the other hand, Newtonian fluid is a good approximation to blood for flow simulations in the carotid artery bifurcation.

这表明，仅采用Casson模型模拟整个颈动脉流场是不合适的，而牛顿流体则是描述血液在颈动脉分岔血管中流动的一个很好的近似。

In the present study, three different blood constitutive models, namely, the Newtonian, the Casson and the hybrid fluid constitutive models were used in the flow simulation of the human carotid bifurcation. The results were compared among the three models.

为此，本文采用数值方法比较了三种不同血液本构关系（牛顿模型，Casson模型和混合模型）所模拟的血液在颈动脉分岔血管内的流动情况。

Numerical simulations are presented to show that players with heterogeneous beliefs make the duopoly game behave chaotically.

通过数值模拟，观察到了这些模型的分岔、混沌行为等复杂现象，并对混沌现象的影响及控制做了有益的探讨。

Numerical simulations are presented to show that players with heterogeneous beliefs make the duopoly game behave chaotically. We also study the influence and control of chaos and gain some helpful conclusions.

通过数值模拟，观察到了这些模型的分岔、混沌行为等复杂现象，并对混沌现象的影响及控制做了有益的探讨。

The bifurcation scenario was simulated by adjusting the relevant parameters in stochastic Chay model.

作者利用随机Chay模型更加逼真地仿真再现了实验所见的分岔序列。

Transitions of different neuronal firing patterns in the Chay model are explored by numerical simulation and bifurcation analysis of limit cycle, with respect to three firing sequences observed in experiments on neural pacemakers.

本文利用神经元Chay 模型，对实验中观察到的三种放电节律模式序列进行数值模拟，并应用余维1极限环分岔分析研究了其产生机理。

Both the numerical results of these two chapters show that the Chebyshev polynomial approximation is an effective method in the study of system with random parameter.

数值结果表明Chebyshev正交多项式逼近法对于分析谐和激励和脉冲激励共同作用下的含有界随机参数系统的分岔现象也是有效的。

The Chebyshev polynomial approximation is used to investigate the stochastic bifurcation of van der Pol system with two-sided barriers.

利用随机光滑动力系统的Chebyshev正交多项式逼近方法，研究了双边约束条件下随机van der Pol系统的分岔现象。

The random system is reduced to its equivalent deterministic one by Chebyshev polynomial approximation, and the response of the stochastic system can be obtained by the deterministic methods.

首先用Chebyshev多项式逼近法将随机系统化成与其等价的确定性系统，然后通过等价确定性系统来探索随机Duffing-Van der pol系统的对称破裂分岔现象。

Numerical simulations show that similar to their counterpart in deterministic nonlinear system some symmetry-breaking bifurcation may occur in the stochastic Duffing-Van der pol system, and Chebyshev polynomial approximation is an effective approach in solving dynamical problems of nonlinear system with random parameter.

数值模拟显示随机Duffing-Van der pol系统与确定性均值参数系统有着类似的对称破裂分岔行为，文中的主要数值结果表明Chebyshev多项式逼近法是研究非线性随机参数系统动力学问题的一种有效方法。

The concept of equivalent rotationally rigidity is offered and the formula of rotationally rigidity is obtained.

主要做了如下几个方面的工作：对伸臂位于顶部的单层框架—筒体模型进行分析，提出了等效转动约束的概念和转动约束刚度的表达式。

Male cats normally do not need aftercare with the exception of the night after the anesthetic.

男猫通常不需要善后除了晚上的麻醉。