非线性科学

介绍了非线性科学中的分形维方法和信息熵方法，及其在房颤信息的处理和分析中的应用。设计了将归一化的P波曲线和f波曲线进行划分从而求出其格子维的方法。

The fractal-dimension theory and the Shannon entropy theory of nonlinear science are briefly introduced , and the methods to apply them to analyzing the information of atrial fibrillation ( AF ) are developed for computing the grid-dimension values and the Shannon entropy values of P-wave and f-wave .

孤子概念是20世纪非线性科学的重要发现，其起源可追溯到英国海军工程师ScottRussell在1834年对河面浅水波的观察。

Soliton is an important concept of nonlinear science created in the 20th century , and its origin can be traced back to the observations of the long , shallow , water waves by British naval engineer Scott Russell in 1834 .

自20世纪60年代以来，物理科学领域中的非线性科学，尤其是周期受击的哈密顿系统，展现出非常复杂的动力学现象，并且随着打击强度k的增加，系统出现混沌。

Since 1960s , nonlinear science has achieved encouraging results , especially the periodically kicked Hamilton system exhibits very complicated dynamics phenomenon . As κ increases , the system emergence chaos .

用量子力学及非线性科学理论，研究了激光与脱氧核糖核酸（DNA）分子相互作用的共振吸收效应及混沌性质，进而对激光的生物诱变效应予以解释。

The resonant absorption effects and chaotic characters of the laser DNA molecule interaction are studied by quantum mechanics and nonlinear theory . The results may explain the effect of genetic mutagenesis of laser .

分形（Fractal）是根据非线性科学原理，通过数学公式和计算机程序计算，生成出一种既具有审美价值又富有科学内涵的图形和动画的艺术。

Fractal is an art , based on the theory nonlinearity and calculated by mathematic formula and computer program , which has valuable in aesthetics and is full of scientific meaning and animation .

运用非线性科学研究面向CIMS的智能设计，即以创新设计为核心的人机智能化设计系统，提出了分形设计作为面向复杂产品的设计方法学。

By utilizing the nonlinear sciences , this paper makes a study on the intelligent design in CIMS , viz . , man-machine intelligent systems which concentrate on the creative design .

在理论分析方面，采用了非线性科学中Floquet理论。在计算方法方面，采用了谱方法、Muller法和QR方法。

Floquet Theory is used to analyze the problem and spectral collocation method , Muller method and QR method are adopted to calculate the model that established .

人工神经网络（ANN）是复杂非线性科学和人工智能科学的前沿，在水污染控制领域的应用在国内外尚处于起步阶段。

Artificial neural network ( ANN ) plays a leading role in the sciences for complex non-linear phenomena and artificial intelligence . Researches on its application in water pollution control are still in the preliminary stage in the world .

二级课题85-04-01-05从非线性科学和Weibull分布出发，提出和引进研究了3种新的单项地震学短期预报指标和一种新的综合预报方法。

Based on non-linear science and Weibull distribution , 3 new indexes and a new comprehensive prediction method are proposed and studied in the project 85-04-01-05 . Some old indexes and comprehensive prediction methods are also studied for shortening the prediction period .

根据非线性科学中关于映射不动点稳定性的理论，讨论了迭代算法的收敛性，表明迭代算法在理论上可以收敛到解析解，但在Ri接近0.2时误差较大。

According to the theory of fixed-point stability in nonlinear sciences , the convergence property is discussed . It is concluded that the analytical solutions can be figured out by iteration in principle , though iterative solutions exhibit significant errors when Ri approaches 0.2 .

运用非线性科学理论和方法，对边坡变形破坏预测方法进行了研究，得出了反映边坡系统动态特性的关联维数D2和Kolmogorov熵K2的计算公式。

In this paper , nonlinear theory and methods are used to study the predicting methods of slope deformation destruction . The formulations of relative dimension Da and Kolmogorov entropy K2 , which reflect the dynamic characteristics of slope system , are obtained .

对动力系统的研究是目前非线性科学领域中最活跃的部分，关于复形式离散动力系统的研究在不断深入，特别是研究参数空间上由各种不同周期的双曲分量构成的Mandelbrot集的结构。

Researches into dynamics are presently the most active parts in the field of nonlinear science , and many advances have been made in the researches into complex separated dynamics , especially in the structures of the M set formed by hyperbolic components with various periods .

非线性科学方法在地震学中的应用专辑

Special issue on the application of nonlinear science methods to seismology

基于非线性科学的大型汽轮发电机组轴系扭振的智能控制

Intelligent Control for Large Turbogenerator Torsional Oscillation Based on Nonlinear Science

机器学习是非线性科学研究的主要内容之一。

Machine learning is one of major fields of nonlinear science .

拟序结构和孤立子&非线性科学的实质性范例

Coherent structure and soliton & An essential paradigm of nonlinear science

混沌系统是非线性科学的新研究领域。

Chaotic system is the new research field of nonlinear science .

机械创新设计系统中的非线性科学拓展

Nonlinear scientific deploitation and development in machinery innovation design system

对混沌现象的认识是非线性科学最重要的成就之一。

Knowledge on chaos is one of important achievements in nonlinear science .

本文将非线性科学分形引入到矿床建模中来。

This paper introduced nonlinear science fractal to deposit modeling .

经济混沌研究的非线性科学方法

Non-linear methods for study on chaotic characteristic of economical series

复杂系统、非线性科学与智能控制理论

Complex Systems , Nonlinear Science and Intelligent Control Theory

非线性科学的研究主流综述

A Summary of the Main Trends of Nonlinear Science

试论非线性科学在数学地质中的地位和作用

A preliminary view on position and action of Nonlinear Sciences in mathematical geology

应用非线性科学方法研究混凝土坝裂缝的理论基础初探

Study on Crack of Concrete Dam Using Nonlinear Methods

复杂系统与非线性科学密切相关。

Complex systems are closely tied with nonlinear science .

非线性科学视野中的易经&两种探索世界生成演化体系的对话

Book of Changes in Field of Nonlinear Science Vision

非线性科学主要研究各种非线性现象之间的共性。

The nonlinear science study the commonality between a variety of nonlinear phenomena .

混沌电路理论是现代非线性科学的一个重要分支。

Chaotic circuit theory is an important branch of the modern non-linear science .

非线性科学中主要包含孤立子、混沌、分形三个部分。

Nonlinear Science consists mainly of three parts : soliton , chaos and fractal .