Cellular Memristive Dynamical Systems (CMDS)

被引：12

作者：

Bavandpour, Mohammad ^{[1
]}

Soleimani, Hamid ^{[2
]}

Bagheri-Shouraki, Saeed ^{[1
]}

Ahmadi, Arash ^{[2
]}

Abbott, Derek ^{[3
]}

Chua, Leon O. ^{[4
]}

机构：

[1] Sharif Univ Technol, Dept Elect Engn, Tehran 1136511155, Iran

[2] Razi Univ, Dept Elect Engn, Kermanshah 6714967346, Iran

[3] Univ Adelaide, Sch Elect & Elect Engn, Adelaide, SA 5005, Australia

[4] Univ Calif Berkeley, Dept Elect Engn & Comp Sci, Berkeley, CA 94720 USA

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2014年 / 24卷 / 05期

关键词：

Cellular mapping; memristor; Izhikevich neuron model; FitzHugh-Nagumo neuron model; bifurcation analysis; SPIKING NEURON; MODEL; BIFURCATIONS; DESIGN; FPGA;

D O I：

10.1142/S021812741430016X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：22

共 25 条

[1] Lapicque's introduction of the integrate-and-fire model neuron (1907) [J].

Abbott, LF .

BRAIN RESEARCH BULLETIN, 1999, 50 (5-6) :303-304

[2] Silicon-Neuron Design: A Dynamical Systems Approach [J].

Arthur, John V. ;

Boahen, Kwabena A. .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2011, 58 (05) :1034-1043

[3] A neuromorphic VLSI design for spike timing and rate based synaptic plasticity [J].

Azghadi, Mostafa Rahimi ;

Al-Sarawi, Said ;

Abbott, Derek ;

Iannella, Nicolangelo .

NEURAL NETWORKS, 2013, 45 :70-82

[4] Architectures for silicon nanoelectronics and beyond [J].

Bahar, R. Iris ;

Hammerstrom, Dan ;

Harlow, Justin ;

Joyner, William H., Jr. ;

Lau, Clifford ;

Marculescu, Diana ;

Orailoglu, Alex ;

Pedram, Massoud .

COMPUTER, 2007, 40 (01) :25-+

[5] Neural Dynamics in Reconfigurable Silicon [J].

Basu, Arindam ;

Ramakrishnan, Shubha ;

Petre, Csaba ;

Koziol, Scott ;

Brink, Stephen ;

Hasler, Paul E. .

IEEE TRANSACTIONS ON BIOMEDICAL CIRCUITS AND SYSTEMS, 2010, 4 (05) :311-319

[6] FPGA based silicon spiking neural array [J].

Cassidy, Andrew ;

Denham, Susan ;

Kanold, Patrick ;

Andreou, Andreas .

2007 IEEE BIOMEDICAL CIRCUITS AND SYSTEMS CONFERENCE, 2007, :75-+

[7] MEMRISTOR - MISSING CIRCUIT ELEMENT [J].

CHUA, LO .

IEEE TRANSACTIONS ON CIRCUIT THEORY, 1971, CT18 (05) :507-+

[8] Memristor MOS Content Addressable Memory (MCAM): Hybrid Architecture for Future High Performance Search Engines [J].

Eshraghian, Kamran ;

Cho, Kyoung-Rok ;

Kavehei, Omid ;

Kang, Soon-Ku ;

Abbott, Derek ;

Kang, Sung-Mo Steve .

IEEE TRANSACTIONS ON VERY LARGE SCALE INTEGRATION (VLSI) SYSTEMS, 2011, 19 (08) :1407-1417

[9] IMPULSES AND PHYSIOLOGICAL STATES IN THEORETICAL MODELS OF NERVE MEMBRANE [J].

FITZHUGH, R .

BIOPHYSICAL JOURNAL, 1961, 1 (06) :445-&

[10]

Gerstner W., 2002, SPIKING NEURON MODEL

← 1 2 3 →