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基于拓扑动力系统的函数初值敏感依赖性的保持证明

Proof of keeping sensitive dependence of function initial value based on topological dynamical system

Study on Dynamical System / 2020,2(1): 16-21 / 2020-05-12 2479 3691

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• Authors: 吴俊义
• Information:

  江南大学，无锡

• Keywords:
  Topological dynamical system; Sensitive dependence on initial value; Compactness; Homeomorphism
  拓扑动力系统; 对初值的敏感依赖性; 紧致; 同胚
• Abstract: In the topological dynamical system, by studying the sensitive dependence of the initial value of the function, using the knowledge of topology and dynamical system, we guess and prove whether it can be transferred under the topological conjugate, find the compactness of the domain to be defined, and give the proof process. 在拓扑动力系统中，通过对函数初值的敏感依赖性的性质的研究，利 用所学的拓扑学和动力系统知识，猜想并证明其可否在拓扑共轭下加以传递， 发现需要定义域的紧致性，并给出了证明过程。
• DOI: https://doi.org/10.35534/sds.0201003c
• Cite: 吴俊义．基于拓扑动力系统的函数初值敏感依赖性的保持证明［J］．动力系统研究，2020，2（1）：16-21．