Equilibrium Point

rac{d\mathbf{x}}{dt} = \mathbf{f}(t,\mathbf{x})

\mathbf{f}(t,	ilde\mathbf{x})=0

for all

t\,\!

.

Similarly, the point

ilde \mathbf{x}\in \mathbb{R}^n

is called an equilibrium point for the Difference Equation

:

\mathbf{x}_{k+1} = \mathbf{f}(k,\mathbf{x}_k)

\mathbf{f}(k,	ilde\mathbf{x})=	ilde\mathbf{x}

for

k=0,1,\ldots

	CATEGORIES ABOUT EQUILIBRIUM POINT

	stability theory

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