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Lejeune Dirichlet theorem 
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#1
Apr312, 04:25 AM

P: 192

Lejeune Dirichlet theorem says that when potential energy has minima then equilibrium is stable, but that is sufficient condition. Can you give me example or examples where potential energy hasn't minima and equilibrium is stable. Tnx



#2
Apr312, 04:53 AM

P: 669



#3
Apr312, 05:37 AM

P: 192

Ok. But Lejeune Dirichlet theorem is for small oscilation. I don't see any oscilation in here?



#4
Apr312, 06:11 AM

P: 669

Lejeune Dirichlet theorem
These are stable points, but only in a dynamic, rotating system. Stable implies that you can have small oscillations around the point of equilibrium.
Actually, the rotation of planets around the sun would be a simpler example of a dynamic equilibrium. 


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