Question: no missing data, please provide explanation. The question is about imperfect bifurcation. thank you Let us study We only consider k, r > 0 and

no missing data, please provide explanation. The question is about imperfect bifurcation. thank you

Let us study We only consider k, r > 0 and x(t) Z 0. 1. Determine the stability of the xed-point 35* = 0. Hint. It may depend on the parameters. 2. Draw the stability diagram in the (k, r)-plane (more precisely, in the rst quad- rant of the (k, r)-plane). You need to plot the bifurcation curve with qualitative accuracy, and identify type of the bifurcations along it

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