动力系统中熵理论的若干研究进展  

New developments in entropy theory of dynamical system

作　　者：连政星 吴伟胜 朱玉峻 LIAN Zhengxing;WU Weisheng;ZHU Yujun(School of Mathematical Sciences,Xiamen University,Xiamen 361005,China)

机构地区：[1]厦门大学数学科学学院,福建厦门361005

出　　处：《厦门大学学报（自然科学版）》2023年第6期930-936,共7页Journal of Xiamen University：Natural Science

基　　金：国家自然科学基金(12101517,12071474,12171400,12126102);科技部重点研发计划青年科学家项目(2022YFA1007800);厦门市青年创新基金项目(3502Z20206037)。

摘　　要：在动力系统领域,熵是反映系统复杂度的重要不变量,与之相关的问题一直是国际上备受关注的研究热点.本文就部分双曲微分同胚的不稳定熵、不可逆动力系统的原像熵和序列熵3个类熵不变量,来介绍动力系统熵理论中的若干新进展.In the field of dynamical systems,the entropy is regarded as an important invariant that reflects the complexity of the system,and has attracted related studies intensively and internationally.In this article,we introduce several new developments in the entropy theory of dynamical systems,focusing on three types of entropy invariants,namely unstable entropy of partially hyperbolic diffeomorphisms,preimage entropy of non-invertible systems,and sequence entropy.

关 键 词：不稳定熵 原像熵 序列熵 动力系统 熵理论 

分 类 号：O193[理学—数学]