典型循环的李亚普诺夫指数熵谱

IF 1.4 4区数学 Q1 MATHEMATICS

Journal of Dynamics and Differential Equations Pub Date : 2024-07-20 DOI:10.1007/s10884-024-10379-2

Reza Mohammadpour

引用次数: 0

摘要

本文研究了所有李雅普诺夫指数水平集的大小。对于典型的cocycles，我们在Lyapunov指数水平集的拓扑熵和广义奇异值函数的拓扑压力之间建立了一种变分关系。

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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Entropy Spectrum of Lyapunov Exponents for Typical Cocycles

In this paper, we study the size of the level sets of all Lyapunov exponents. For typical cocycles, we establish a variational relation between the topological entropy of the level sets of Lyapunov exponents and the topological pressure of the generalized singular value function.

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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.