奇异吸引子 meaning in English
strange attractor
Examples
- The natural tightly connection between chaos and fracture is due to the infinite similarities of strange attractor of chaotic dynamic system
混沌动力系统的奇异吸引子所具有的无穷自相似性使混沌理论和分形学自然紧密联系。 - ( 2 ) shanghai stock market , which shows distinct fractal structure and chaos properties in the price evolution route , is a nonlinear dynamic system . there is a strange attractor in the price evolution route
（ 2 ）上海股票市场具有明显的分形结构与混饨特征，是一个非线性系统，系统价格演化存在一个奇异吸引子。 - Lyapunov exponent depict the discrete extent of chaotic dynamic system . there propose an estimation of one step prediction error based on lyapunov exponent , the estimation express the reliability of prediction numerically . at the same time , in order to improve the predictive precision it drew out an error complement methods creatively to correct one step prediction
Lyapunov指数定量刻画混沌离散动力系统的平均发散程度，基于lyapunov指数作出了一步预测的误差估计，以此来定量反映预测的可靠性；根据奇异吸引子流形的性质，创造性的提出残差补充法，对预测值作出修正以降低误差，提高预测精确性。 - This thesis is divided into six chapters . in chapter 1 , the review of the chaos research background and developments involving the definitions of chaos , mea - surements of chaos , concept of transversal homoclinic points , concept of strange attractors , and control and anti - control of chaos is presented
第一章中，我们首先从分别从混沌动力学研究中关于混沌的几种不同的数学定义、混沌度量、横截同宿点、奇异吸引子等若干方面，介绍了混沌理论的发展历史及现实状况，指出了研究混沌理论的必要性 - In addition , guckenheimer and holmes spent a great of length to discuss it in the book [ 1 ] in 1983 . they gave the sufficient condition 5 that ensure the existence of the horseshoe of the model for = 1 and used numerical value method to discovered " stranfe attractor " for certain a ( for example : - 1 , - 6 ) where denote the colliding coefficient of restitution and the amplitude of the ball
Guckenheimer和holmes在专著[ 1 ]中用了相当的篇幅讨论了弹跳球模型，当= 1时给出了存在马蹄的条件( 5 ) ，对某些( 1 )则仅用数值方法得到在一定条件下出现“奇异吸引子” (例如= 0 . 5 ， = 6 ) ，这里与分别表示小球的碰撞恢复系数和激振力振幅。