Berlin 2012 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 10: Nonlinear Dynamics, Synchronisation and Chaos
DY 10.6: Talk
Tuesday, March 27, 2012, 10:45–11:00, MA 001
Coexistence of exponentially many chaotic spin-glass attractors — Yitzhak Peleg1, Meital Zigzag1, •Wolfgang Kinzel2, and Ido Kanter1 — 1Department of Physics, Bar-Ilan University, IL-52900 Ramat-Gan, Israel — 2Institute for Theoretical Physics, University of Wuerzburg, Am Hubland, DE-97074 Wuerzburg, Germany
chaotic network of size N with delayed interactions which resembles a pseudo-inverse associative memory neural network is investigated. For a load α = 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 α. At finite α, 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.