Scholarlink

We collect in the following a list of basic definitions in dynamics. A dynamical system is a map \(f:X\to X\) where X is a metric space called the “state space” of the system. Starting with a state \(x\in X\) , f describes how the state changes with the time. Namely after n seconds the state x becomes \(x_n=f^n(x)\) , where the iteration \(f^n\) is defined by \(\displaystyle f^n=f\circ f^{n-1} \text{and} f^0 = id_X. \)

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Topology of Circle Homeomorphisms

  • 章节

  • 发表日期：

    2025年

查看全文
  • Yiheng Dong,
  • Marco Martens,
  • Liviana Palmisano

摘要

We collect in the following a list of basic definitions in dynamics. A dynamical system is a map \(f:X\to X\) where X is a metric space called the “state space” of the system. Starting with a state \(x\in X\) , f describes how the state changes with the time. Namely after n seconds the state x becomes \(x_n=f^n(x)\) , where the iteration \(f^n\) is defined by \(\displaystyle f^n=f\circ f^{n-1} \text{and} f^0 = id_X. \)