The following differential equation contains a parameter, r, which is allowed to vary. x' = rx-x Find all equilibria of this equation in terms of r and determine their stability. Identify any bifurcation values. Reach: Construct a bifurcation diagram for the equation above, indicating the stability and (approximate) loca- ion of all equilibria. Clearly label at least one point on your graph.
The following differential equation contains a parameter, r, which is allowed to vary. x' = rx-x Find all equilibria of this equation in terms of r and determine their stability. Identify any bifurcation values. Reach: Construct a bifurcation diagram for the equation above, indicating the stability and (approximate) loca- ion of all equilibria. Clearly label at least one point on your graph.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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