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Resonance frequency of a matrix system 
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#1
Feb1313, 11:27 AM

P: 1

Hi all,
I have a 2d system of the form: dm1/dt + A11 m1 + A12 m2 = 0 dm2/dt + A21 m2 + A22 m2 = 0 I saw that the resonance frequency of such a system is defined as: fr = 1/(2*pi) [ (A11 + A22)/2 + sqrt( ((A11A22)/2)^2 + A12*A21 ) if I'm not mistaking  I can't even remember where I saw that formula. Could someone confirm that it's the exact formula and/or explain why this holds and how this was obtained and/or how does this extend to the 3d case? Thanks a lot! 


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