Periodic oscillations and bifurcations in cellular nonlinear networks

IEEE Transactions on Circuits and Systems I-regular Papers（2004）

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Abstract

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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Key words

bifurcation,cellular neural nets,harmonics,nonlinear network analysis,parametric oscillators,floquets multipliers,bifurcations,cellular nonlinear networks,characterization,describing function technique,estimation,harmonic approximation,harmonic balance technique,nonlinear dynamic arrays,periodic oscillations,spectral technique,time-domain analysis,cnns,complex dynamics,oscillations,spectral techniques

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