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nonlinear scientific
相关语句
  非线性科学
     NONLINEAR SCIENTIFIC METHODS FOR QUATERNARY STUDIES
     第四纪研究的非线性科学方法
短句来源
     Nonlinear scientific deploitation and development in machinery innovation design system
     机械创新设计系统中的非线性科学拓展
短句来源
     The inevitability of rethinking in architecture design is put forward from closely question. Second, nonlinear scientific notion is the leading idea in the thesis.
     其次,论文以非线性科学思维为指导思想,对建筑设计的目标和原则、非线性科学的审美思维进行了认识论上的建构,并简要的分析了非线性思维建筑观的形式言语表达。
短句来源
     On the basis of mechanism analysis for slope deformation\|failure and discussiopn for basic problems of landslide prediction,authors introduce the nonlinear scientific theory and gray system theory,which are proved to be effective in the solution of complex problems,into the landslide forecasting. The academic thought of the "real\|time tracing prediction of landslides" is presented.
     文章以斜坡的变形破坏机制分析为基础,从滑坡预报的基本问题入手,将处理复杂性问题行之有效的非线性科学理论和灰色系统理论引入滑坡预报中,提出了"滑坡实时跟踪预报"的学术思想。
短句来源
     The (combination) of nonlinear scientific theories of fractal, nerve net, cellular automaton etc with the traditional interpolation method has solved the problem that can't be settled by the traditional interpolation method.
     将分形、神经网络、细胞自动机等非线性科学理论与传统的插值方法相结合,解决了传统的插值方法所不能解决的问题。
短句来源
  “nonlinear scientific”译为未确定词的双语例句
     The investigation of the optical spatiotemporal pattern is a forward topic in nonlinear scientific field.
     光学时空斑图也是当今非线性科学领域内的前沿课题。
短句来源
     As the core of nonlinear scientific research, chaotic theory has important theoretical and practical meanings.
     混沌理论作为非线性科学研究的核心内容,有其重要的理论和实际意义。
短句来源
     For example, we can apply nonlinear scientific theory to study the deterministic pattern of seismic activity, dynamic behaviour in seismogenic process and critical characters of the occurrence of large earthquake in future.
     特别是这一理论给我们探讨地震问题,例如:探讨地震活动时空分布的确定性图像、地震演化过程的动力学行为、临界特征以及未来大地震的发生等问题,带来了某些希望。
短句来源
     The results are more complicated in the deoxycholate-CuCl_2 system co ntaining glucose, suggesting that the nonlinear scientific concept should be con sidered in understanding gallstone formation.
     AMP 脱氧胆酸 葡萄糖 铜凝胶体系的周期沉淀及分形结构中,AMP、葡萄糖、DC与Cu2 + 多核配位作用形成和组成结构更复杂的沉淀。
短句来源
  相似匹配句对
     are nonlinear.
     丝光沸石单胞铝原子数与晶胞参数非线性相关;
短句来源
     NONLINEAR SCIENTIFIC METHODS FOR QUATERNARY STUDIES
     第四纪研究的非线性科学方法
短句来源
     On Nonlinear Connotation of Scientific Development View
     科学发展观的非线性意蕴
短句来源
     Scientific Visualization
     科学视觉化技术
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     On scientific development
     论科学发展观
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  nonlinear scientific
The experimental results suggested that a nonlinear scientific concept should be considered in understanding gallstone formation.
      


This paper holds that, the applications of nonlinear scientific methods to rock rupture and earthquake phenomena should be in accordance with the characteristics of the processes themselves of these phenomena. That is a). the fractal geometric characteristics of crack systems; b). the self-organization mechanisms in the evolution processes; c). the chaotic dynamical behavior of earthquake faulting. Tracing the evolution processes of earthquakes as well as rock rupture (including formation of crack systems,...

This paper holds that, the applications of nonlinear scientific methods to rock rupture and earthquake phenomena should be in accordance with the characteristics of the processes themselves of these phenomena. That is a). the fractal geometric characteristics of crack systems; b). the self-organization mechanisms in the evolution processes; c). the chaotic dynamical behavior of earthquake faulting. Tracing the evolution processes of earthquakes as well as rock rupture (including formation of crack systems, deformation localization and formation of faults, faulting and finally stress relaxation), this paper sruveys the application of nonlinear scientific methods (fractal geometry, chaotic dynamics, and self-organization synergetics)to earthquake as well as rock rupture phenomena, proposes the universal characteristics and mechanisms of the corresponding processes obtained by using the nonlinear scientific methods, and argues on problems that are still controversy and need further investigating.

本文以地震孕育和岩石破裂过程的阶段(包括裂纹系形成、变形局部化和断层形成、断层活动和松弛)为线索,阐述了非线性科学方法(包括分形几何学,自组织临界现象和混沌动力学)的应用,提出了地震孕育过程和岩石破裂各阶段的普适性特征、机理和要着重研究的课题.

The widely existing nonlinear phenomena revealed by high-resolution geological records need to be explored With nonlinear scientific methods. As a comprehensive science which has far-reaching influence, nonlinear science has become very popular with the international scientific circle. The development and application of nonlinear science in geosciences is the prelude of the birth of a series of nonlinear geosciences. Fractal theory, time-series analysis and chaotic dynamics are...

The widely existing nonlinear phenomena revealed by high-resolution geological records need to be explored With nonlinear scientific methods. As a comprehensive science which has far-reaching influence, nonlinear science has become very popular with the international scientific circle. The development and application of nonlinear science in geosciences is the prelude of the birth of a series of nonlinear geosciences. Fractal theory, time-series analysis and chaotic dynamics are hopefully the most promising nonlinear methods in Quaternary studies. Both neotectonic vertical movement and ancient climate changes are oscillating movement which, as a complicated irregular oscillation between regular oscillation (e. g. B-Z oscillation in chemistry) and chaos. The oscillation which is a so-called geophysical chaotic time-series results from the internal stochastic nature of the deter mined Earth system. In the frequency change of oscillation, bifurcation space and width of frequency separation are attenuating respectively in aocordance with the Feigenbaum constants δ and α. The oscillating movement of the Earth system is a transition to chaos. The uprise of mountains, the rise of continents, the fall of ocean floors and the change of the global sea level and a series of such intense changes are indications of chaos. Oscillation movement appears to be nonperiodically, rhythmic, it together with erosion of external forces, creates the undulating geomorphological landforms which are similar hierarchically at some extent. The geomorphological phenomena which have similarity are therefore one of resources of fractal concepts. By a couple of popular simple fractal functions, it is possible to "create" Various geomorphological landforms which are similar fairly with natural landforms. The artificial landforms which we call fractal landforms are called Mandelbrot landscape by mathematicians. It is significant for Quaternary studies: no matter how complicated the modern and ancient landforms appear to be, their mechanisms are simple. It is in accordance with traditional concepts of geosciences: landforms are a result of interaction of both internal and external forces. Simple fractal functions are helpful for the study of the interaction and its evolution characteristics. Relief of landforms is a height field. The conformity between Mandelbrot landscape and real landforms indicates that the geomorphological height field is fractal. The complexity of landforms, i.e. the complexity of the height field (or roughness) can be estimated by fractal dimension of their surface. The difference of fractal dimensions of landforms shows the difference of environmental conditions and the difference of evolution stages. The time-series of the Quaternary environmental change generally not random, i.e. not a Brownian condition, but a fractal Brownian movement(FBM), which has a long-term persistence. Whether a time-series is FBM or not can be decided by Hurst exponent. This provides us a theoretical base for forcasting the mean behaviour of volution. he time-series Hurst ex- ponents of lots of natural phenomena such as the change of precipitation, temperature and the water surface of river, lake and sea are all larger than 1/2, which indicates that every successive value of the time-series is not independent, i. e. they are not Gaussian variable or white Gaussian ncise. Although the traditional statistical methods have been used all the time, they cannot accurately describe the behaviour of time-series. It is desirable to use R/S(range over standard deviation). In the eyes of statisticians, time-series=trend +period + random Since the appearance of Chaotic theory, scientists have however found that the irregularity of time-series results from the stochasticity inside the system, so time-serles=chaos + fluctuation The freedom of a time-series is decided by its correlation dimension of the chaotic attractor of time-series, which also decide whether the time-serits is a stochastic system or a determined system of a limited dimension. If it is the latter, a nonlinear dynamic model can be inferred. Besides fractal dimension, Lyapunov exponent and Kolmogonov entropy(K-entropy) are usually used to describle the chaotic characteristics of time-series. When a system is chaotic the Lyapunov exponent is larger than 0(λ>0). In most cases K-entropy equals the sum of all plus Lyapunov exponents. For a order system K=0, for a stochastic system K=∞. When K=c (a limited value) the system is chaotic. The larger K is the stronger the chaos is. The characteristics of the Quaternary time-series will help us to know the further changes of environment. In the field of Quaternary studies, as the resolving power of data is enhancing, we will have a new insight into the Quaternary process. As we are facing a stern challenge like the catastrophe process of climate change, the traditional linear methods are obviously not enough. The system of climate like many other geographical systems is a nonlinear system. At critical condition a sequence of reaction caused by small events will exert influences on lots of elements in the system and lead to happening of great events. To solve the problem, the theory SOC(selforganized criticality) is much helpful. Nonlinear science is very important for Quaternary studies and it also will develop in turn in the field of Quaternary studies.

第四纪研究中最常用的非线性科学方法可能是分形理论、时间序列分析及混沌动力学。振荡在新构造运动和古气候变化中都是普遍存在的,它是介于有规振荡和混沌之间的中间阶段和过渡。分形理论可以描述地貌的状态和演化特征,混沌吸引子的分维又是混沌的一个重要参量。在时间序列分析中计算混沌吸引子的关联维、李雅普诺夫指数、赫斯特指数、柯尔莫果洛夫熵等可以更深入地揭示时间序列的性质,加深对演化过程的认识。

With the studies and developments on fractals and chaotic theory irregularity on geometrics and the inherent stochasticity of dynamical evolution of a big class of natural phenomena have been revealed.It provides some new approaches and possibility for us to explore the physical essence of the natural phenomena, especially, to seismic problems. For example, we can apply nonlinear scientific theory to study the deterministic pattern of seismic activity, dynamic behaviour in seismogenic process and critical...

With the studies and developments on fractals and chaotic theory irregularity on geometrics and the inherent stochasticity of dynamical evolution of a big class of natural phenomena have been revealed.It provides some new approaches and possibility for us to explore the physical essence of the natural phenomena, especially, to seismic problems. For example, we can apply nonlinear scientific theory to study the deterministic pattern of seismic activity, dynamic behaviour in seismogenic process and critical characters of the occurrence of large earthquake in future.In this article, the applied investigations of fractals and chaotic theory to seismology are reviewed in detail.This paper is divided into five sections.The general outline of seismogenic porcess is discribed in the first part. Some applications of fractals and chaotic theory to seismogenic porcess are discussed in section two and three respectively. In the section four, the SOC theory and its some applications to earthquake problems are discussed. The final, some applied perspectives for nonlinear science to earth science are discussed.

分形与混沌理论的研究与发展,揭示了自然界中一大类无规几何形体物理过程的内在规律性及其动力演化过程的内在随机性。这给我们探索自然界中分形客体的几何形态及其与内部物理本质的关系提供了一条暂新的途径。特别是这一理论给我们探讨地震问题,例如:探讨地震活动时空分布的确定性图像、地震演化过程的动力学行为、临界特征以及未来大地震的发生等问题,带来了某些希望。本文较详细地综述了近年来分形与混沌理论在地震学中的应用研究。全文共分5部分。第1部分是孕震过程的一般概述。第2部分描述单分形与多分形在地震学中的某些应用.文中第3部分介绍了混沌动力学中的某些研究在测震学与模型中的应用。第4部分综述了自组织临界现象和闪变噪声的研究.最后,第5部分是分形理论与混沌动力学在地球科学中的应用前景与展望.

 
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