Scholarlink

To make a conceptual start, we describe the representation of time, the notion of state space, and the idea that a dynamical system consists of a collection of maps sending the current state to the state at a later time. We explain what is meant by generator and how that relates, in continuous time, to differential equations. We discuss orbits, phase portraits, and equivalence of dynamical systems. We present various examples, including symbolic dynamics.

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

Introduction

  • 章节

  • 发表日期：

    2026年

查看全文
  • Yuri Kuznetsov,
  • Odo Diekmann,
  • Wolf-Jürgen Beyn

摘要

To make a conceptual start, we describe the representation of time, the notion of state space, and the idea that a dynamical system consists of a collection of maps sending the current state to the state at a later time. We explain what is meant by generator and how that relates, in continuous time, to differential equations. We discuss orbits, phase portraits, and equivalence of dynamical systems. We present various examples, including symbolic dynamics.