Equilibrium point (mathematics)

"Equilibrium point" redirects here. Not to be confused with Equilibrium point (mechanics).
Stability diagram classifying Poincaré maps of linear autonomous system as stable or unstable according to their features. Stability generally increases to the left of the diagram.[1] Some sink, source or node are equilibrium points.

In mathematics, specifically in differential equations, an equilibrium point is a constant solution to a differential equation.

  1. ^ Egwald Mathematics - Linear Algebra: Systems of Linear Differential Equations: Linear Stability Analysis Accessed 10 October 2019.