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Periodic oscillations and bifurcations in cellular nonlinear networks

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3 Author(s)
Gilli, M. ; Dept. of Electron., Politecnico di Torino, Italy ; Corinto, F. ; Checco, P.

A spectral technique is proposed for investigating periodic oscillations and bifurcations in cellular nonlinear networks. The method consists of the following three fundamental steps: 1) an accurate estimation of the whole set of stable and unstable limit cycles is provided through the application of the describing function technique; 2) a detailed characterization of each limit cycle is obtained via the harmonic balance (HB) technique, by exploiting as input parameter the single harmonic approximation, provided by the describing function technique; 3) limit cycle stability and bifurcations are studied by computing the Floquet's multipliers and exploiting both a time-domain and an HB-based technique.

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Circuits and Systems I: Regular Papers, IEEE Transactions on  (Volume:51 ,  Issue: 5 )