A spectral technique is proposed for investigating pe- riodic 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.

Periodic oscillations and bifurcations in cellular nonlinear networks / Gilli, Marco; Corinto, Fernando; Checco, Paolo. - In: IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS. I, REGULAR PAPERS. - ISSN 1549-8328. - 51:(2004), pp. 948-962. [10.1109/TCSI.2004.827627]

Periodic oscillations and bifurcations in cellular nonlinear networks

GILLI, MARCO;CORINTO, FERNANDO;CHECCO, Paolo
2004

Abstract

A spectral technique is proposed for investigating pe- riodic 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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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11583/1400737
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