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1.5Phase LineandBifurcationDiagrams - University of Utah
www.math.utah.edu1.5 Phase Line and Bifurcation Diagrams 51 Fact 1. An equilibrium is a horizontal line. It is stableif all solutions starting near the line remain nearby as x → ∞. Fact 2. Solutions don’t cross.8 In particular, any solution that starts above or below an equilibrium solution must remain above or …