Building Expansion for Generalizations of Viana Maps

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-03-25 DOI:10.1007/s10884-024-10357-8

Vanderlei Horita, Nivaldo Muniz, Olivier Sester

引用次数: 0

Abstract

We study a family of skew-products of smooth functions having a unique critical point of degree \(D\ge 2\) over a strongly expanding map of the circle and prove that these systems admit two positive Lyapunov exponents. This extends an analogous result of Viana who considered, in the seminal paper (Viana in Inst Hautes Études Sci Publ Math 85:63–96, 1997), the quadratic case \(D=2\).

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维亚纳地图泛化的构建扩展

我们研究了在圆的强扩张映射上具有度 \(D\ge 2\) 唯一临界点的平滑函数的偏积族，并证明这些系统具有两个正的李亚普诺夫指数。这扩展了维亚纳的类似结果，维亚纳在开创性论文（维亚纳在高等研究院科学出版社数学85:63-96，1997）中考虑了二次情况\(D=2\)。

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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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.

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