Nullcline: Difference between revisions

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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.

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 :<math>x_n'=f_n(x, y)</math>
-Nullcines are the geometric shape for which <math>x_1'=x_2'=...=x_n'=0</math>.  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 point]]s of the system are located where the lines intersect.
+Nullcines are the geometric shape for which <math>x_1'=x_2'=...=x_n'=0</math>.  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_point_(mathematics)|fixed point]]s of the system are located where the lines intersect.
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