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29 June 2005 Weakly connected oscillatory networks for dynamic pattern recognition
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Proceedings Volume 5839, Bioengineered and Bioinspired Systems II; (2005) https://doi.org/10.1117/12.608498
Event: Microtechnologies for the New Millennium 2005, 2005, Sevilla, Spain
Abstract
Many studies in neuroscience have shown that nonlinear dynamic networks represent a bio-inspired models for information and image processing. Recent studies on the thalamo-cortical system have shown that weakly connected oscillatory networks have the capability of modelling the architecture of a neurocomputer. In particular they have associative properties and can be exploited for dynamic pattern recognition. In this manuscript the global dynamic behavior of weakly connected cellular networks of oscillators are investigated. It is assumed that each cell admits of a Lur'e description. In case of weak coupling the main dynamic features of the network are revealed by the phase deviation equation (i.e. the equation that describes the phase deviation due to the weak coupling). Firstly a very accurate analytic expression of the phase deviation equation is derived via the joint application of the describing function technique and of Malkin's Theorem. Then it is shown that the total number of periodic limit cycles with their stability properties can be estimated through the analysis of the phase deviation equation.
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Marco Gilli, Michele Bonnin, and Fernando Corinto "Weakly connected oscillatory networks for dynamic pattern recognition", Proc. SPIE 5839, Bioengineered and Bioinspired Systems II, (29 June 2005); https://doi.org/10.1117/12.608498
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