广义有界失真特性

IF 1.4 4区数学 Q1 MATHEMATICS

Journal of Dynamics and Differential Equations Pub Date : 2024-07-05 DOI:10.1007/s10884-024-10376-5

Gregory Borissov, Grigorii Monakov

引用次数: 0

摘要

我们证明了多维空间上的\(C^{1 + \varepsilon }\) 平滑动力系统的非稳态有界失真属性。我们所获得的结果可能会被应用于离散薛定谔算子的谱特性研究，这些算子的势由 Sturmian 序列产生。

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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Generalized Bounded Distortion Property

We prove the nonstationary bounded distortion property for \(C^{1 + \varepsilon }\) smooth dynamical systems on multidimensional spaces. The results we obtain are motivated by potential application to study of spectral properties of discrete Schrödinger operators with potentials generated by Sturmian sequences.

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来源期刊

Journal of Dynamics and Differential Equations 数学-数学

CiteScore

3.30

自引率

7.70%

发文量

116

审稿时长

>12 weeks

期刊介绍： Journal of Dynamics and Differential Equations serves as an international forum for the publication of high-quality, peer-reviewed original papers in the field of mathematics, biology, engineering, physics, and other areas of science. The dynamical issues treated in the journal cover all the classical topics, including attractors, bifurcation theory, connection theory, dichotomies, stability theory and transversality, as well as topics in new and emerging areas of the field.