Nullcline

Nullclines, sometimes called zero-growth isoclines, are encountered in a system of differential equations

$x_{1}'=f_{1}(x,y)$

$x_{2}'=f_{2}(x,y)$

.

.

.

$x_{n}'=f_{n}(x,y)$

Nullcines are the geometric shape for which $x_{1}'=x_{2}'=...=x_{n}'=0$. In a two-dimensional system, the nullclines can be represented by two lines on a two-dimensional plot. In such a two-dimensional example, the fixed points of the system are located where the lines intersect.

External links

• "Nullcline". PlanetMath.
• Notes from MIT OpenCourseWare
• SOS Mathematics: Qualitative Analysis