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Given the ordinary differential equation =1+re+ where the parameter r is a given real number. (a) Sketch all the qualitativel

Nonlinear differential equations and Bifurcation theory.

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is, Giren equation as ltrx tar where risa farameters for fired point foint azo gert YX+1=0 > - 11 Tora - - + TA 2. where - Yoà = (2+1) ~ 귄 format 722 iyo 2 (-1,0) so semistable Stable unstable. ry2 1:2 (b) from are as / moves each other an are the beunstable. ry2 ९ unstable stable. r2-2 7=2 r= -2 Stable. This is a Sa dole node also bifurcation diagram. Here. bifurcation oc

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Nonlinear differential equations and Bifurcation theory. Given the ordinary differential equation =1+re+ where the parameter r...
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