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Consider the system x' = rx + x3 - x5​, which exhibits a pitchfork bifurcation.

a. Find the algebraic expressions for all teh fixed points as r varies

b. Sketch the vector fields as r varies. Be sure to indicate all the fixed points and their stability

c. Calculate rs​, the parameter value at whcih the nonzero fixed points are born in a saddle-node bifurcation

Respuesta :

Answer:

rs = -3/16  and the three minima x₁, x ₂ and x₄ fall at  the value of integrating curve C

Step-by-step explanation:

The answer is found in the attachment.

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