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Computer Tools for Bifurcation Analysis: General Approach with

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1008 L. M. Pismen & B. Y. Rubinstein<br />

Brusselatormatrbp,x] == 0 /. x -> I w;<br />

Brusselatorw = Last[Solve<br />

[Brusselatoreqw,w]]<br />

Out[14]=<br />

{w -> a}<br />

Now it is possible to calculate the eigenvectors<br />

of the problem.<br />

In[15]:=<br />

BrusselatorU = First[NullSpace<br />

[Brusselatormatrbp -<br />

I w IdentityMatrix[2] /. Brusselatorw]];<br />

BrusselatorUt = First[NullSpace[Transpose<br />

[Brusselatormatrbp -<br />

I w IdentityMatrix[2] /. Brusselatorw]]];

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