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Coexistence of exponentially many chaotic spin-glass attractors | | Y. Peleg
; M. zigzag
; W. Kinzel
; I. Kanter
; | | Date: |
9 Nov 2011 | | Abstract: | A chaotic network of size $N$ with delayed interactions which resembles a
pseudo-inverse associative memory neural network is investigated. For a load
$alpha=P/N<1$, where $P$ stands for the number of stored patterns, the chaotic
network functions as an associative memory of 2P attractors with macroscopic
basin of attractions which decrease with $alpha$. At finite $alpha$, a
chaotic spin glass phase exists, where the number of distinct chaotic
attractors scales exponentially with $N$. Each attractor is characterized by a
coexistence of chaotic behavior and freezing of each one of the $N$ chaotic
units or freezing with respect to the $P$ patterns. Results are supported by
large scale simulations of networks composed of Bernoulli map units and
Mackey-Glass time delay differential equations. | | Source: | arXiv, 1111.2213 | | Services: | Forum | Review | PDF | Favorites | |
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