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图胞映射的一种改进方法

ISSN号：1000-3290
期刊名称：《物理学报》
时间：0
分类：O322[理学—一般力学与力学基础;理学—力学] TP391.7[自动化与计算机技术—计算机应用技术;自动化与计算机技术—计算机科学与技术]
作者机构：[1]西北工业大学理学院应用数学系,西安710072
相关基金：国家自然科学基金（批准号：10472091,10332030,10502042）资助的课题.

关键词：图胞映射方法, 不变流形, HENON映射, digraph cell mapping method, invariant manifolds, Henon map

中文摘要：

通过引入新的概念,提出了图胞映射动力系统中瞬态胞的新的分类方法,基于新的分类方法研究了动力系统中不变流形的胞映射逼近问题;并结合计算机的计算速度与内存特点,建立了完成上述压缩分类的有效算法.通过对典型算例Henon映射的应用分析,证实了该方法的有效性.

英文摘要：

By introducing new concepts, this paper presents a new classification of transient cells for the digraph cell mapping dynamical system. Based on this new classification, the approximation problem of the invariant manifolds of dynamical system is discussed in detail. In order to improve the efficiency and speed of computing, an effective algorithm is given to complete the above classification. As an illustrative example, Henon map is taken to demonstrate the validity of the modified digraph cell mapping method.

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