---
tag: 0AA97XA70K
kind: concept
name: Periodic orbit
msc: [37C27]
sources:
  - url: https://en.wikipedia.org/wiki/Periodic_point
    locator: Dynamical system
---

## Summary

Let a point that is not an equilibrium return to itself after a fixed positive time. Its orbit is a periodic orbit of the dynamical system.
For an autonomous differential equation, it is the closed curve traced by a non-constant periodic solution. See the [[definition|01DSNP0B4R]].