Iterative digraph cell mapping method

Wei Xu; Xiaole Yue; Qun He

doi:10.1007/978-1-4614-3128-2_3

Iterative digraph cell mapping method

Wei Xu, Xiaole Yue, Qun He

数学与统计学院

Northwestern Polytechnical University Xian

科研成果: 书/报告/会议事项章节 › 章节 › 同行评审

2 引用（Scopus）

摘要

This chapter is dedicated to Professor C.S. Hsu for his 90th birthday. The materials presented in this chapter are motivated by Professor C.S. Hsu's work on cell-to-cell mapping. Based on the conception of digraph, a modified digraph cell mapping is suggested with several new definitions, which can approximate the invariant manifolds. In order to improve the accuracy and efficiency, an iterative digraph cell mapping method is presented through introducing the notion of a composite cell space, which can refine any interesting region of the cell state space.

源语言	英语
主期刊名	Global Analysis of Nonlinear Dynamics
出版商	Springer New York
页	51-74
页数	24
卷	9781461431282
ISBN（电子版）	9781461431282
ISBN（印刷版）	1461431271, 9781461431275
DOI	https://doi.org/10.1007/978-1-4614-3128-2_3
出版状态	已出版 - 1 12月 2012

访问文件

10.1007/978-1-4614-3128-2_3

其它文件与链接

链接到 Scopus 的出版物

引用此

@inbook{524e34345dff41a88539248a76e405a9,

title = "Iterative digraph cell mapping method",

abstract = "This chapter is dedicated to Professor C.S. Hsu for his 90th birthday. The materials presented in this chapter are motivated by Professor C.S. Hsu's work on cell-to-cell mapping. Based on the conception of digraph, a modified digraph cell mapping is suggested with several new definitions, which can approximate the invariant manifolds. In order to improve the accuracy and efficiency, an iterative digraph cell mapping method is presented through introducing the notion of a composite cell space, which can refine any interesting region of the cell state space.",

author = "Wei Xu and Xiaole Yue and Qun He",

year = "2012",

month = dec,

day = "1",

doi = "10.1007/978-1-4614-3128-2_3",

language = "英语",

isbn = "1461431271",

volume = "9781461431282",

pages = "51--74",

booktitle = "Global Analysis of Nonlinear Dynamics",

publisher = "Springer New York",

}

TY - CHAP

T1 - Iterative digraph cell mapping method

AU - Xu, Wei

AU - Yue, Xiaole

AU - He, Qun

PY - 2012/12/1

Y1 - 2012/12/1

N2 - This chapter is dedicated to Professor C.S. Hsu for his 90th birthday. The materials presented in this chapter are motivated by Professor C.S. Hsu's work on cell-to-cell mapping. Based on the conception of digraph, a modified digraph cell mapping is suggested with several new definitions, which can approximate the invariant manifolds. In order to improve the accuracy and efficiency, an iterative digraph cell mapping method is presented through introducing the notion of a composite cell space, which can refine any interesting region of the cell state space.

AB - This chapter is dedicated to Professor C.S. Hsu for his 90th birthday. The materials presented in this chapter are motivated by Professor C.S. Hsu's work on cell-to-cell mapping. Based on the conception of digraph, a modified digraph cell mapping is suggested with several new definitions, which can approximate the invariant manifolds. In order to improve the accuracy and efficiency, an iterative digraph cell mapping method is presented through introducing the notion of a composite cell space, which can refine any interesting region of the cell state space.

UR - http://www.scopus.com/inward/record.url?scp=84891462789&partnerID=8YFLogxK

U2 - 10.1007/978-1-4614-3128-2_3

DO - 10.1007/978-1-4614-3128-2_3

M3 - 章节

AN - SCOPUS:84891462789

SN - 1461431271

SN - 9781461431275

VL - 9781461431282

SP - 51

EP - 74

BT - Global Analysis of Nonlinear Dynamics

PB - Springer New York

ER -

Iterative digraph cell mapping method

摘要

访问文件

其它文件与链接

指纹

引用此