查询词典 associated equation

The squeezing property of the nonlinear semi-group associated with this equation and the existence of exponential attractor are proved in the paper.

证明了该方程有关的非线形半群的挤压性质和指数吸引子的存在性。

By analyzing the distribution of roots of the associated characteristic equation, its linear stability of the zero equilibrium is investigated.

在分析平衡解稳定性时，首先利用Yongli Song中的变量代换方法化简模型，再分析其对应线性方程的特征根分布来确定平衡解的稳定性，其中运用了Cooke和Grossman写的引理。

The main contents of this paper are organized as follows. At first, we investi-gate the stability and Hopf bifurcations by analyzing the distribution of the rootsof associated characteristic equation.

本文研究的主要内容为：首先通过分析相应特征方程根的情况，来考察不动点的稳定性及Hopf分支存在性。

As an application, a solution of the Manakov-type equation associated with a 3×3 spectral problem is given by using the results on the third coupled equations of the matrix AKNS hierarchy.

作为这样推广的例子，可以从矩阵型AKNS族n=3的结果，给出了一个与3×3谱问题相应的Manakov型方程的解。

The distribution of the associated characteristic equation roots is given according to the polynomial theorem, and the conditions for ensuring the existence of Hopf bifurcation are obtained. The obtained result is applied to chaotic control.

利用多项式理论给出了其特征方程根的分布，得到了Hopf分岔产生的条件，并将结果应用到混沌神经网络的控制中。

Both the forward and inverse problems associated with the beam equation are considered. The order of accuracy of this IFE space is numerically investigat....

在模态法方面，为了解压曲梁之力学行为，则利用应力场、应变场与位移场的关系推导出应变能项和动能项，再以汉米尔顿原理求。。。。

7 Matrix Exponentials and Linear Systems The solution vectors of a homogeneous linear system Can be used to construct a matrix = that satisfies the matrix differential equation associated with Eq.

5.7 指数矩阵和线性系统借助等式（1），齐次线性系统的解向量可以被用来构造一个满足矩阵微分方程的矩阵。

In this thesis, we take the delay r as a bifurcation parameter to investigate the Hopf bifurcation phenomenon in system (1). By analyzing the associated characteristic transcendental equation of system (2), and using the Hopf bifurcation theorem, we obtain one condition for the existence of Hopf bifurcation in system (1). Furthermore, based on the center manifold theorem and the method of normal form, some interesting results about the properties of Hopf bifurcation are obtained, including the direction of Hopf bifurcation and stability of Hopf bifurcating periodic solutions.

我们以时滞T作为分支参数，研究了系统(1)的Hopf分支现象：通过分析系统(2)的特征超越方程，结合利用Hopf分支定理获得了系统(1)的Hopf分支存在的一个条件；利用中心流形定理和正规形方法分析了系统(1)的Hopf分支的性质，包括分支的方向和分支周期解的稳定性。

The implicit TDMA algorithm and first kind of firstorder upwind difference were employed to solve the conservation equation associated with appropriate boundary conditions.

通过分析离心力场作用下铝熔液在Al2O3短纤维多孔介质内的渗流传热现象，考虑离心惯性力对渗流传热过程的影响，建立了多孔介质渗流传热模型。

Choosing time delay as the control parameter, the stability of trivial equilibrium is discussed by analyzing distribution of the roots of the associated characteristic equation. It is found that Hopf bifurcation occurs from trivial equilibrium when the delay passes through critical values, then the critical values and their relations with system control parameters are obtained.

以时滞量为参数，通过分析对应线性系统特征方程的根的分布，讨论了平凡解的稳定性，得到了平凡解发生Hopf分岔而失稳的临界时滞量以及临界时滞量与系统控制参数的关系。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷