This paper presents the analytical investigation of complex pattern formation in a Memristor Cellular Nonlinear Network (M-CNN) by applying the theory of local activity. The proposed M-CNN has the conventional two dimensional (2D) planar structure, where all the memristive cells are identical and resistively coupled to each other. The single cell is composed of a suitable combination of a DC voltage source, a bias resistor, a locally active NbOx memristor, and a capacitor. The locally active memristor has a simplified generic form, enhancing the simulation speed, and a functional AC equivalent circuit, facilitating further inspections. The stability analysis of the single cell is followed by the extraction of the parameters of the local activity, edge-of-chaos, and sharp-edge-of-chaos domains. Simulation results demonstrate that pattern formation can emerge in a dissipatively coupled M-CNN with locally active memristors.
Analytical Investigation of Pattern Formation in an M-CNN with Locally Active NbOx Memristors / Demirkol, As; Ascoli, A; Messaris, I; Tetzlaff, R. - STAMPA. - (2021). (Intervento presentato al convegno 2021 IEEE International Symposium on Circuits and Systems (ISCAS) tenutosi a Daegu (Korea) nel 22-28 May 2021) [10.1109/ISCAS51556.2021.9401280].
Analytical Investigation of Pattern Formation in an M-CNN with Locally Active NbOx Memristors
Ascoli A;
2021
Abstract
This paper presents the analytical investigation of complex pattern formation in a Memristor Cellular Nonlinear Network (M-CNN) by applying the theory of local activity. The proposed M-CNN has the conventional two dimensional (2D) planar structure, where all the memristive cells are identical and resistively coupled to each other. The single cell is composed of a suitable combination of a DC voltage source, a bias resistor, a locally active NbOx memristor, and a capacitor. The locally active memristor has a simplified generic form, enhancing the simulation speed, and a functional AC equivalent circuit, facilitating further inspections. The stability analysis of the single cell is followed by the extraction of the parameters of the local activity, edge-of-chaos, and sharp-edge-of-chaos domains. Simulation results demonstrate that pattern formation can emerge in a dissipatively coupled M-CNN with locally active memristors.File | Dimensione | Formato | |
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Analytical Investigation of Pattern Formation in an M-CNN with Locally Active NbOx Memristors.pdf
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https://hdl.handle.net/11583/2988450