The calculation of orbital fluctuations and of the phase-orbital correlation within Floquet-based noise analysis of autonomous systems requires the availability of all the direct and adjoint Floquet eigenvectors associated with the noiseless limit cycle. Here the authors introduce a novel numerical technique for their frequency domain determination. The algorithm is entirely based on the Jacobian matrices already available from the harmonic balance-based calculation of the limit cycle, thus avoiding any time-domain integration. The Floquet eigenvalues and adjoint eigenvectors are calculated from a generalised eigenvalue problem, thus making the approach readily implementable into CAD tools provided that the Jacobian matrices are made available. © 2011 The Institution of Engineering and Technology.
Traversa, F. L., & Bonani, F. (2011). Frequency-domain evaluation of the adjoint Floquet eigenvectors for oscillator noise characterisation. IET Circuits, Devices and Systems, 5(1), 46-51. https://doi.org/10.1049/iet-cds.2010.0138