等连续性
传递关系
数学
动力系统理论
动力系统(定义)
纯数学
公制(单位)
灵敏度(控制系统)
度量空间
离散数学
拓扑(电路)
组合数学
物理
经济
工程类
量子力学
电子工程
运营管理
作者
Chris Good,Robert Leek,Joel Mitchell
出处
期刊:Discrete and Continuous Dynamical Systems
[American Institute of Mathematical Sciences]
日期:2020-01-01
卷期号:40 (4): 2441-2474
被引量:7
摘要
We study sensitivity, topological equicontinuity and even continuity in dynamical systems. In doing so we provide a classification of topologically transitive dynamical systems in terms of equicontinuity pairs, give a generalisation of the Auslander-Yorke dichotomy for minimal systems and show there exists a transitive system with an even continuity pair but no equicontinuity point. We define what it means for a system to be eventually sensitive; we give a dichotomy for transitive dynamical systems in relation to eventual sensitivity. Along the way we define a property called splitting and discuss its relation to some existing notions of chaos. The approach we take is topological rather than metric.
科研通智能强力驱动
Strongly Powered by AbleSci AI