Most of real life problems involve nonlinear systems (predator-prey
model is one such example). The nonlinear system are very hard to
solve explicitly but qualitative and numerical techniques may help
shade some information on the behavior of the solutions. It should be
noted also that we succeeded in developing an explicit technique for
linear system. So somehow we are able to sat something about the
linear ones. So the question is how do we relate the two kinds, that
is the linear and nonlinear systems. The main idea is to approximate
a nonlinear system by a linear one hoping that the conclusions on one
will be the same as the other one. This is called **
linearization**
of nonlinear systems.

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