Recovery of eigenvectors from eigenvalues in systems of coupled harmonic oscillators

This paper uses the recently formulated eigenvalue-eigenvector identity to reveal the physics of globally coupled radio frequency oscillators. This identity allows for the estimation of eigenvectors from the eigenvalues of the system under study, plus the eigenvalues of a group of subsystems. The group of subsystems was created by successive removal and replacement of single oscillators. This finding is a proof-of-principle for the recovery of system parameters from general coupled oscillator systems.