---
tag: 01TPMXM6NM
kind: concept
name: Hyperbolic equilibrium point
msc: [37C75]
sources:
  - url: https://en.wikipedia.org/wiki/Hyperbolic_equilibrium_point
    locator: lead section
same_as:
  wikidata: Q3925833
  wikipedia: Hyperbolic equilibrium point
---

## Summary

A hyperbolic equilibrium point of a vector field is an equilibrium point at which the Jacobian matrix has no eigenvalue with real part zero.
Such a point has no centre manifold. See the [[definition|0C5PREPZWG]].