# For each problem, determine equilibrium points, bifurcation points, and construct a bifurcation diagram. Discuss the different behaviors

## Question:

For each problem, determine equilibrium points, bifurcation points, and construct a bifurcation diagram. Discuss the different behaviors in each system.

**a.** \(y^{\prime}=y-\mu y^{2}\)

**b.** \(y^{\prime}=y(\mu-y)(\mu-2 y)\)

**c.** \(x^{\prime}=\mu-x^{3}\)

**d.** \(x^{\prime}=x-\frac{\mu x}{1+x^{2}}\)

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**Related Book For**

## A Course In Mathematical Methods For Physicists

**ISBN:** 9781138442085

1st Edition

**Authors:** Russell L Herman