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1.5Phase LineandBifurcationDiagrams - University of Utah

1.5Phase LineandBifurcationDiagrams - University of Utah

www.math.utah.edu

1.5 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 …

  Phases, Line, Diagrams, Bifurcation, 5phase lineandbifurcationdiagrams, 5phase, Lineandbifurcationdiagrams, 5 phase line and bifurcation diagrams

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