实平面多项式迭代映射的图像

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-02-28 DOI:10.1007/s40687-024-00433-2

Tat Thang Nguyen

引用次数: 0

摘要

让 \(F: {\mathbb {R}}^2\rightarrow {\mathbb {R}}^2\) 是一个多项式映射。我们考虑 F 的合成 \(F^k\)的映像。我们证明，在某些条件下，当 k 较大时，迭代映射 \(F^k\)的映像是稳定的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Image of iterated polynomial maps of the real plane

Let \(F: {\mathbb {R}}^2\rightarrow {\mathbb {R}}^2\) be a polynomial mapping. We consider the image of the compositions \(F^k\) of F. We prove that under some condition then the image of the iterated map \(F^k\) is stable when k is large.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.