Percolation in memristive networks

Numerous scientists claim that the memristor may be a real breakthrough in the fields of electronic and circuit design. For this reason, it is important to study what dynamics arise in memristive networks and speculate about how they could be used for meaningful tasks. In this paper, we focus on the phenomenon of percolation in memristive networks, studying the theoretical aspects and performing SW simulations.

[1]  L.O. Chua,et al.  Memristive devices and systems , 1976, Proceedings of the IEEE.

[2]  A. Stacey,et al.  Approximate upper bounds for the critical probability of oriented percolation in two dimensions based on rapidly mixing Markov chains , 1997, Journal of Applied Probability.

[3]  Leon O. Chua,et al.  The CNN paradigm , 1993 .

[4]  Béla Bollobás,et al.  Dependent percolation in two dimensions , 2000 .

[5]  Leon O. Chua,et al.  Memristor Cellular Automata and Memristor Discrete-Time Cellular Neural Networks , 2009, Int. J. Bifurc. Chaos.

[6]  Stephen Wolfram,et al.  A New Kind of Science , 2003, Artificial Life.

[7]  M. AizenmanS,et al.  Metastability effects in bootstrap percolation ? , 2001 .

[8]  L. Chua.  Memristor-The missing circuit element , 1971 .

[9]  Béla Bollobás,et al.  Handbook of large-scale random networks , 2008 .

[10]  Alan Stacey,et al.  Upper bounds for the critical probability of oriented percolation in two dimensions , 1993, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[11]  Massimiliano Di Ventra,et al.  Memristive model of amoeba learning. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[12]  Massimiliano Versace,et al.  The brain of a new machine , 2010, IEEE Spectrum.

[13]  Béla Bollobás,et al.  Handbook of Large-Scale Random Networks: Bolyai Society Mathematical Studies , 2009 .

[14]  D. Stewart,et al.  The missing memristor found , 2008, Nature.