Nullcline

Nullcline

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

x1' = f1(x1,...xn)
x2' = f2(x1,...xn)
.
.
.
xn' = fn(x1,...xn)

where the ' here represents a derivative with respect to another parameter, such as time t. Nullclines are the geometric shape for which xj' = 0 for any j. The fixed points of the system are located where all of the nullclines intersect. In a two-dimensional linear system, the nullclines can be represented by two lines on a two-dimensional plot.

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