Use the theorem on saddle-node bifurcations from the lecture' to show that i = sin(r) sin(r) + cos(r) – e" has a saddle-node bifurcation at (r*,r) = (0,0).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Exercise B
Use the theorem on saddle-node bifurcations from the lecture! to show that
i = sin(r) sin(r) + cos(r) – e"
has a saddle-node bifurcation at (r*, x*) = (0,0).
Transcribed Image Text:Exercise B Use the theorem on saddle-node bifurcations from the lecture! to show that i = sin(r) sin(r) + cos(r) – e" has a saddle-node bifurcation at (r*, x*) = (0,0).
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