x˙1 = f1(x1,,xn)
x˙n = fn(x1,,xn)

be a system of first order ordinary differential equationMathworldPlanetmath. The xj nullcline is the set of points which satisfy fj(x1,,xn)=0. Note that at an intersection point of all the nullclines implies that

0 = f1(x1,,xn)
0 = fn(x1,,xn).

Hence the intersection point of all the nullclines is an equilibrium point of the system.


Title nullcline
Canonical name Nullcline
Date of creation 2013-03-22 14:27:14
Last modified on 2013-03-22 14:27:14
Owner Daume (40)
Last modified by Daume (40)
Numerical id 5
Author Daume (40)
Entry type Definition
Classification msc 34C99