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Type: Journal article
Title: Cellular Memristive Dynamical Systems (CMDS)
Author: Bavandpour, M.
Soleimani, H.
Bagheri-Shouraki, S.
Ahmadi, A.
Abbott, D.
Chua, L.
Citation: International Journal of Bifurcation and Chaos, 2014; 24(5):1430016-1-1430016-22
Publisher: World Scientific Publishing
Issue Date: 2014
ISSN: 0218-1274
Statement of
Mohammad Bavandpour, Hamid Soleimani, Saeed Bagheri-Shouraki and Arash Ahmadi, Derek Abbott, Leon O. Chua
Abstract: This study presents a cellular-based mapping for a special class of dynamical systems for embedding neuron models, by exploiting an efficient memristor crossbar-based circuit for its implementation. The resultant reconfigurable memristive dynamical circuit exhibits various bifurcation phenomena, and responses that are characteristic of dynamical systems. High programmability of the circuit enables it to be applied to real-time applications, learning systems, and analytically indescribable dynamical systems. Moreover, its efficient implementation platform makes it an appropriate choice for on-chip applications and prostheses. We apply this method to the Izhikevich, and FitzHugh–Nagumo neuron models as case studies, and investigate the dynamical behaviors of these circuits.
Keywords: Cellular mapping; memristor; Izhikevich neuron model; FitzHugh–Nagumo neuron model; bifurcation analysis
Rights: © World Scientific Publishing Company
RMID: 0020138819
DOI: 10.1142/S021812741430016X
Appears in Collections:Electrical and Electronic Engineering publications

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