非线性

Selecting proper single valued variable separation functions in the 2+1 variable separation solutions,we construct many types of single valued coherent soliton structures such as dromion,dromion lattice,solitoff,2-solitoff,static and kinetic breather,instanton,compacton, peakon,and so on.The interactions among these coherent localized excitations including the collisions of compaction and compacton,peakon and peakon,line soliton and y-periodic soliton,dromion and dromion,dromion and solitoff,et al,are investigated analytically and graphically,and found that can be elastic and nonelastic respectively,which reveal various exotic and important nonlinear characters and interaction properties.

在2+1维分离变量解中选择适当的的单值分离变量函数，构造了2+1维非线性波动模型多种单值相干孤子结构如Dromion，Dromion格子，Solitoff，2-Solitoff，静止和运动呼吸子、瞬子、Compacton、Peakon等；考察了一些典型的非线性激发模式间如Compacton和Compacton，Peakon和Peakon，线孤子和y-周期孤子，Dromion和Dromion，Dromion和Solitoff之间等相互作用行为，发现其相互作用可以弹性的也可以是非弹性的，揭示了多样奇异而重要的非线性特性。

In this paper, based on nonlinear stochastic differential equation for phase noise analysis approach is proposed.

文中从描述振荡器的非线性微分方程出发，提出将噪声作为非线性微分方程的一项，通过建立随机非线性微分方程来分析振荡器的相位噪声，为振荡器的相位噪声提出了一种新的分析方法。

Nonlinear functional analysis has become an important direction of research in modern mathematics,nonlinear operator theory is also an important part of nonlinear functional analysis.

非线性泛函分析已成为现代数学中的重要研究方向之一，而非线性算子理论又是非线性泛函分析的重要内容。

Nonlinear functional analysis is not only profound theory but also widelyused research discipline in mathematics, in the context of nonlinear problemsof mathematics and natural sciences, a number of theories and methods of dil-ing with nonlinear problems have been established.

非线性泛函分析是数学中既有深刻理论又有广泛应用的研究学科，以数学和自然科学中出现的非线性问题为背景，建立了处理非线性问题的若干理论和方法。

Due to the complexity of the nonlinear system,it is classified as five kinds of discrete nonlinear multi-variable system according to nonlinear operator.

鉴于非线性多变量系统的极端复杂性，将离散的非线性多变量系统按非线性算子的不同分为五类。

The researches about solving the nonlinearoperator equation in the paper, point out a new direction and instructionalmeaning for solving general nonlinear operator equation.

本文中关于非线性算子方程求解问题的研究，为一般非线性算子方程求解的研究指出了一条新的方向，从而对一般的非线性算子方程的研究具有指导意义。

Considering the nonlinearity of ecological system,a nonlinear arithmetic operator was introduced in this complex model and appraised swatches were identified and ranked by Reliability code.

非线性复合模型考虑到生态系统的非线性，引入了非线性合成算子，并利用置信度准则对评价样本进行识别与排序。

Based on this, this paper develops the modal series method, expounds its mathematic foundation and theory system, and compares it with the linear modal analysis and the method of norm form of vector fields.

开发了基于模态级数法的HVDC/AC互联电力系统分析软件包，通过此软件可以得到系统的非线性响应，获得非线性系统零输入响应的近似闭式解，进行系统模态分析、非线性模态交互作用分析，并为控制系统设计提供有价值的特征信息。

There are two procedures including solving nonlinear equations and orbit prediction. The difficulty of the problem in this paper rests with interlace and interference of the two nonlinear procedures, which lead dispersion with the normal algorithm.

其难点在于求解非线性方程组和轨道递推两个非线性过程交织在一起，互相干扰，双重的非线性对微小的误差产生的强烈的放大作用，导致使用通常的算法根本无法得到收敛的解。

In this algorithm, first, the nonlinear kernel mapping is used to map the face data into an implicit feature space, and then a linear transformation which produces orthogonal basis functions is performed to preserve locality geometric structures of the face image.

该算法首先利用核的方法提取人脸图像中的非线性信息，并将其投影在一个高维非线性空间，在保证各向量正交的同时，通过局部保持投影算法做一线性映射，从而更好地提取人脸非线性局部邻域结构特征。

Finally, according to market conditions and market products this article paper analyzes the trends in the development of camera technology, and designs a color night vision camera.

最后根据市场情况和市面上产品的情况分析了摄像机技术的发展趋势，并设计了一款彩色夜视摄像机。

Only person height weeds and the fierce looks stone idles were there.

只有半人深的荒草和龇牙咧嘴的神像。