Following the approach used in BDH1-7.mws, the problem involves the following information

> f := y^6 - 2*y^4 + alpha;

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The possible bifurcation values can occur only when and . Here is how we can use Maple to find these values

> EQ1 := f=0;

> EQ2 := diff( f, y ) = 0;

> solve( { EQ1, EQ2 }, { y, alpha } );

The allvalues command can be used to force Maple to list the final two solutions in an explicit form:

> allvalues( %[4] );

Thus, there are two possible bifurcation values: = 0 and = 32/27. These values can be confirmed in the following plot of the equilibria as a function of the parameter, .

> implicitplot( f=0, alpha=-2..2, y=-2..2, style=POINT );

Observe that the bifurcation value is NOT .

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