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Differential EquationsChallengeExistence, Uniqueness & Bifurcations

Existence, Uniqueness & Bifurcations · Challenge problem

The family y′=r−(y2−1)2y' = r - (y^2 - 1)^2 has four equilibria when 0<r<10 < r < 1. Take r=916r = \dfrac{9}{16}. Find the product of the asymptotically stable equilibria.