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

School of Mathematics and Statistics

Northwestern Polytechnical University Xian

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

2 Scopus citations

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.

Original language	English
Title of host publication	Global Analysis of Nonlinear Dynamics
Publisher	Springer New York
Pages	51-74
Number of pages	24
Volume	9781461431282
ISBN (Electronic)	9781461431282
ISBN (Print)	1461431271, 9781461431275
DOIs	https://doi.org/10.1007/978-1-4614-3128-2_3
State	Published - 1 Dec 2012

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

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Iterative digraph cell mapping method

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