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AMATH 568 HOMEWORK 8 Solved

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1. Consider the inverted pendulum dynamics:
y
00 + (δ +  cos ωt) sin y = 0
(a) Perform a Floquet analysis (computationally) of the pendulum with continous forceing cos ωt.
(b) Evaluate for what values of δ,  and ω the pendulum is stabilized.