Complex dynamics in cellular neural networks

Gilli, Marco; Biey, Mario; Civalleri, Pier Paolo; Checco, Paolo

doi:10.1109/ISCAS.2001.921242

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The occurrence of complex dynamic behavior (i.e., bifurcation processes, strange and chaotic attractors) in autonomous space-invariant cellular neural networks (CNNs) is investigated. Firstly, some sufficient conditions for the instability of CNNs are provided; then some classes of unstable template are identified. Finally, it is shown that unstable CNNs often exhibit complex dynamics and for a case study the most significant bifurcation processes are described. It is worth noting that most CNN implementations exploit space-invariant templates and so far no example of complex dynamics has been shown in autonomous space-invariant CNNs.

Titolo:	Complex dynamics in cellular neural networks
Autori:	GILLI, MARCO BIEY, MARIO CIVALLERI, Pier Paolo CHECCO, Paolo
Data di pubblicazione:	2001
Abstract:	The occurrence of complex dynamic behavior (i.e., bifurcation processes, strange and chaotic attr...actors) in autonomous space-invariant cellular neural networks (CNNs) is investigated. Firstly, some sufficient conditions for the instability of CNNs are provided; then some classes of unstable template are identified. Finally, it is shown that unstable CNNs often exhibit complex dynamics and for a case study the most significant bifurcation processes are described. It is worth noting that most CNN implementations exploit space-invariant templates and so far no example of complex dynamics has been shown in autonomous space-invariant CNNs.
ISBN:	0780366859
Appare nelle tipologie:	4.1 Contributo in Atti di convegno

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