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|Title:||Cellular Memristive Dynamical Systems (CMDS)|
|Citation:||International Journal of Bifurcation and Chaos, 2014; 24(5):1430016-1-1430016-22|
|Publisher:||World Scientific Publishing|
|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|
|Appears in Collections:||Electrical and Electronic Engineering publications|
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