Consider the family of differential equations (x^{prime}=x^{3}+delta x^{2}-mu x). a. Sketch a bifurcation diagram in the (x
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Consider the family of differential equations \(x^{\prime}=x^{3}+\delta x^{2}-\mu x\).
a. Sketch a bifurcation diagram in the \(x \mu\)-plane for \(\delta=0\).
b. Sketch a bifurcation diagram in the \(x \mu\)-plane for \(\delta>0\).
Pick a few values of \(\delta\) and \(\mu\) in order to get a feel for how this system behaves.
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Related Book For 
A Course In Mathematical Methods For Physicists
ISBN: 9781138442085
1st Edition
Authors: Russell L Herman
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