---
tag: 02HR4C0B04
kind: concept
name: Nullcline
msc: [34C05]
sources:
  - url: https://en.wikipedia.org/wiki/Nullcline
    locator: lead section
same_as:
  wikidata: Q13905721
  wikipedia: Nullcline
---

## Summary

A nullcline of a system of autonomous equations $x_j' = f_j(x)$ is a set on which one component $f_j$ of the vector field vanishes.
The equilibrium points of the system are the common points of all the nullclines. See the [[definition|0WW060JR6P]].