Derive the total potential energy functions

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Reference no: EM133363230

Derive the total potential energy functions given below of:

a) Limit point (take alpha = pie/6)

b) Stable symmetric bifurcation

c) Unstable symmetric bifurcation

d) Asymmetric bifurcation

Find the expression of the equilibrium paths in this case, and determine the stability or otherwise, of all paths including at any singular or bifurcation points.

Reference no: EM133363230

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