---
tag: 0673D85QKZ
kind: concept
name: Autonomous system
aliases: [autonomous-differential-equation, time-invariant-system]
msc: [34A34]
sources:
  - url: https://en.wikipedia.org/wiki/Autonomous_system_(mathematics)
    locator: lead section
same_as:
  wikidata: Q788009
  wikipedia: Autonomous system (mathematics)
---

## Summary

An autonomous system is a system of ordinary differential equations $x' = f(x)$ whose right side does not depend explicitly on the independent variable.
When the independent variable is time, such a system is also called time-invariant. See the [[definition|07BNRFQ0PJ]].