动力系统

Taking account of the recent situation and development trend of nonlinear dynamics, this paper deals with the propective survey of the nonlinear dynamic research of complex systems in the 21 the century from six aspects.

根据非线性动力学的研究现状和发展趋势，从六个方面去展望复杂系统的非线性动力学研究在21世纪的动向，探讨与其有关的动力系统理论和应用研究中面临的一些重大问题。

Based on the recent situation and trend of the nonlinear systems, we present some recent developments and important problems in stochastic dynamics such as response, bifurcation , chaos, synchronization and control.

摘要介绍了非线性随机动力学的响应、分岔、混沌以及混沌同步与控制的研究现状和发展趋势，探讨了随机复动力系统、时滞系统、逼近方法和数值方法研究中的若干问题及其进展。

In the study of the nonlinear dynamics, Melnikov function is widely used as a criterion to check whether subharmonic or ultra-subharmonic bifurcation even chaos will occur in a perturbed Hamilton system.

在非线性动力系统的研究中， Melnikov函数被广泛地用来作为微扰哈密顿系统是否发生次谐或超次谐分岔乃至混沌的判据。

Horizontal Well ; Piecewise Smooth Dynamical Systems ; Impulsive Differential Systems ; Optimal Control ; Stability ; Initial Time Difference

国家自然科学；水平井；分段光滑动力系统；脉冲微分系统；最优控制；稳定性；初始时刻偏差

Determined by the specific geological background of Longhetun, the characteristics of the soil resources show abundant calcium and leaning to alkaline. Monomial indexes to evaluate the revisal coefficient of soil adapted to karst mountains areas were screened out combined with the function of karst dynamics system and analysis of characters of each factor about fertility in soil. Predigestion model to soil revisal coefficient monomial assessment was established by successful importation of the content of nutrition elements in plant body, latent efficient elements in soil and available thickness of soil in the cranny of epikarst according to the characters that three carriers of soil, soil water and karst water supply nutrition to plants and two layers of foundation consist of surface soil and soil in epikarst cranny, and several types of soil revisal coefficient and weather-soil productive potentiality were calculated, the results show that the soil revisal coefficient was even more practical after modification than before, which make up of innovation of this study.

龙何屯特殊的地质背景条件决定了耕地土壤资源的富钙偏碱的特点，结合岩溶动力系统的作用，系统分析土壤中各肥力因子的特点，筛选出适宜岩溶石山区特点的土壤订正系数评价单项指标，针对研究区存在土壤、土壤水、岩溶水三种载体提供植物营养和表层土、土下表层岩溶带裂隙土两层空间基质的特点，成功引入植物体内营养元素含量、土壤元素隐性有效态含量及土下表层岩溶带裂隙土有效厚度等新参数指标，探讨建立了土壤订正系数单项指标评价简化模型，计算出龙何屯各耕地类型土壤订正系数和气候-土地生产潜力，结果显示修正后的土壤订正系数比修正前更符合实际，成为本研究的创新点。

By analyzing the distribution of the roots of the characteristic equation according to Rouche theorem, the stability condition of this dynamical system is investigated and Hopf bifurcations are demonstrated. The bifurcation graph can be obtained and some simulation examples are shown.

利用儒歇定理及其推论分析了该动力系统特征方程根的分布情况，进而得到该系统解析解稳定和Hopf分支存在的条件，画出了分支图，给出相应的数值例子。

In Chapter 3, we discuss the synchronization of coupled dynamical systems on condition that the external coupling matrices are n × n irreducible symmetric real matrices with zero row sum and nonnegative off-diagonal elements and internal coupling matrices are m × m asymmetric matrices.

在第三章我们讨论了耦合动力系统中，当外部耦合矩阵是n×n阶实对称不可约，行和为零且对角线以外的元素非负的矩阵，内部耦合矩阵是m×m阶非对称矩阵时耦合系统的同步问题。

Chapter 2 is devoted to the discussion of the synchronization of coupled dynamical systems with the external coupling matrices being n × n irreducible circulant real matrices having zero row sum and nonnegative off-diagonal elements and internal coupling matrices being m × m symmetric positive definite matrices.

在第二章我们讨论了耦合动力系统中，当外部耦合矩阵是n×n阶实循环不可约，行和为零且对角线以外的元素非负的矩阵，内部耦合矩阵是m×m阶对称正定矩阵时耦合系统的同步问题。

So this paper takes the middle speed and small power of ship diesel engine as research object, and with the title of the matching research of ship diesel engine with screw propeller and the optimized design of cooling system to research the matching design of ship power system. And the main content of this paper is as the following:(1) The establishment of matching calculation platform of screw propeller and diesel engine. This paper starts with the analysis of balance of ship energy, and gets energy transfer relationship between ship diesel engine and screw propeller.

为此，本论文以中速小功率船舶柴油机为研究对象，以船舶机桨匹配与冷却系统优化设计为题进行船舶动力系统匹配设计研究，主要内容有：(1)船舶机桨匹配设计计算平台的建立本论文基于船舶能量平衡问题分析，推导螺旋桨与船舶柴油机之间能量传递关系，分析螺旋桨与柴油机的匹配设计。

The contents of this dissertation include the existence of equeilibrium and the stability criterion about the non-linear kinetic system.

本文的主要内容包括非线性动力系统平衡点的存在性和稳定性条件，并以该系统为主要约束，建立了非线性最优控制模型并证明了最优解的存在性。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。