RECURRENCE AND CHAOS

作     者：Wang, Nan Jiao, Lixin Wang, Lidong Shi, Shaoyun 

作者机构：School of Mathematics Jilin University Changchun130012 China School of Disciplinary Basics and Applied Statistics Zhuhai College of Science and Technology Zhuhai519041 China School of Mathematics and State Key Laboratory of Automotive Simulation and Control Jilin University Changchun130012 China 

出 版 物：《UPB Scientific Bulletin, Series A: Applied Mathematics and Physics》 (UPB Sci Bull Ser A)

年 卷 期：2024年第86卷第4期

页      面：77-90页

核心收录：

学科分类：07[理学] 0701[理学-数学] 0702[理学-物理学] 070101[理学-基础数学] 

基　　金：The scientific research capability improvement project of key construction disciplines in Guangdong Province Application Research on Key Technologies of Robot learning (No. 2021ZDJS138)  The key research platforms and projects of ordinary universities under the Guangdong Provincial Department of Education (No. 2023ZDZX1049)  NSFC grant (No. 11771177)  Program for Changbaishan Scholars of Jilin Province and Science and Technology Development Project of Jilin Province (No. YDZJ202101ZYTS141) 

主　　题：Quantum chaos 

摘      要：Assume that (Σ2, ρ) is a one sided symbolic space, σ is a sub-shift on Σ2. In this paper, we proved that there exists T ⊂ P QW (σ) ⊂ Σ2 such that σ |T is R − T chaos, Martelli chaos, distributional chaos, weakly mixing, Xiong-chaos and distributional chaos in a sequence. As an application, we prove that chaos occurs on recurrent sets in exchange economic systems. © 2024, Politechnica University of Bucharest. All rights reserved.