Concept explainers
Bifurcation Points. For an equation of the form
where
Consider the equation
Find all of the critical points for Eq. (ii). Observe that there are no critical points if
Draw the phase line in each case and determine whethereach critical point is asymptotically stable, semistable, or unstable.
In each case, sketch several solutions of Eq. (ii) in the
If we plot the location of the critical points as a function of
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Differential Equations: An Introduction to Modern Methods and Applications
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