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Differential EquationsHardExistence, Uniqueness & Bifurcations

Existence, Uniqueness & Bifurcations · Hard problem

Consider y′=h+12y−y3y' = h + 12y - y^3. For h=0h = 0 there are three equilibria; for large hh there is only one. At what positive value of hh does the saddle-node bifurcation occur?