>

BDH4-1.mws

> restart;

>

This worksheet demonstrates that near an equilibrium solution for a nonlinear system the direction field looks like the direction field for some linear system and shows how Maple can be used to find and classify the corresponding linear system.

> with( DEtools ):

> with( plots ):

> with( linalg ):

Warning, new definition for adjoint

Warning, new definition for norm

Warning, new definition for trace

>

Specify the problem

Nullclines

Equilibrium Solutions

Qualitative Analysis