半群系統之聯立軌道漸近行為及條件熵維度

CCUR > College of Natural Science and Engineering > College of Science > Department of Applied Mathematics > project > Item 987654321/48675

Please use this identifier to cite or link to this item: https://irlib.pccu.edu.tw/handle/987654321/48675

Title:	半群系統之聯立軌道漸近行為及條件熵維度 Asymptotic Behavior of Simultaneous Orbits for Semigroup Systems and Dimensional Properties of Fractally Conditional Entropy
Authors:	鄭文巧
Contributors:	應用數學系
Keywords:	維數半群系統熵 dimension entropy
Date:	2020
Issue Date:	2020-10-06 10:38:07 (UTC+8)
Abstract:	在研究熵、Lyapunov 指數、維數這些量之間的關係中，拓撲壓起著非常關鍵的作用。對此主題有深入研究興趣。因而，展開專題研討，系統地交流拓撲動力系統及聯立軌道漸近行為最新進展，並且對半群系統熵理論、非可加熱力公式與應用中相關問題撰寫論文。借此機會增進國際學術交流，提升研究水準。熵是體現系統複雜性的一個重要概念，熵理論在研究動力系統的動力學屬性，動力系統內在結構和動力系統分類等方面研究中發揮著巨大的作用。近年來，隨著各種思想和觀點的介入（如序列熵，熵局部化，逆像熵等），人們對熵的理解愈加深刻，熵的理論得到了極大的發展。然而這一領域仍還有許多學者們感興趣的問題，例如半群熵系統的複雜性及與其它動力學性質的關係。 Topological pressure plays a key role in studying the relationship between entropy, Lyapunov exponent, and dimensions. Therefore, a special seminar was carried out to systematically exchange the latest progress of the asymptotic behavior of topological dynamical systems and simultaneous orbits, and to write a dissertation on the entropy theory of semigroup systems, non-heatable force formulas and related issues in applications. Take this opportunity to enhance international academic exchanges and raise research standards. In recent years, with the involvement of various ideas and viewpoints (such as sequence entropy, localization of entropy, inverse image entropy, etc.), people's understanding of entropy has deepened, and the theory of entropy has been greatly developed. However, there are still many issues that are of interest to scholars in this field, such as the complexity of semigroup entropy systems.
Appears in Collections:	[Department of Applied Mathematics] project

Files in This Item:

File	Description	Size	Format
index.html		0Kb	HTML	233	View/Open

View Licence

Loading...