nimitzhunter
Mar3-11, 01:06 AM
I have this differential equation that is supposed to describe a 2D mutually coupled phase locked loops:
p1'' +(b+cos(p1))*p1' + a*sin(p1) + gamma*(cos(p2)*p2' + a*sin(p2)) = b*omega.
p2'' +(b+cos(p2))*p2' + a*sin(p2) + gamma*(cos(p1)*p1' + a*sin(p1)) = b*omega.
So, the coupling terms are: gamma*(cos(p2)*p2' + a*sin(p2)) and gamma*(cos(p1)*p1' + a*sin(p1)).
b, and a are normalized gains. omega is the detuning frequency, and gamma is the coupling strength. Has anyone seen this kind of coupling before? It seems a bit odds to me because it appears to be almost like an equation for external modulation instead of a coupling term.
p1'' +(b+cos(p1))*p1' + a*sin(p1) + gamma*(cos(p2)*p2' + a*sin(p2)) = b*omega.
p2'' +(b+cos(p2))*p2' + a*sin(p2) + gamma*(cos(p1)*p1' + a*sin(p1)) = b*omega.
So, the coupling terms are: gamma*(cos(p2)*p2' + a*sin(p2)) and gamma*(cos(p1)*p1' + a*sin(p1)).
b, and a are normalized gains. omega is the detuning frequency, and gamma is the coupling strength. Has anyone seen this kind of coupling before? It seems a bit odds to me because it appears to be almost like an equation for external modulation instead of a coupling term.