# Consider the family of differential equations (x^{prime}=x^{3}+delta x^{2}-mu x). a. Sketch a bifurcation diagram in the (x

## Question:

Consider the family of differential equations \(x^{\prime}=x^{3}+\delta x^{2}-\mu x\).

**a.** Sketch a bifurcation diagram in the \(x \mu\)-plane for \(\delta=0\).

**b.** Sketch a bifurcation diagram in the \(x \mu\)-plane for \(\delta>0\).

Pick a few values of \(\delta\) and \(\mu\) in order to get a feel for how this system behaves.

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**Related Book For**

## A Course In Mathematical Methods For Physicists

**ISBN:** 9781138442085

1st Edition

**Authors:** Russell L Herman