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Cellular Automata and Lattice Gases

arXiv:comp-gas/9408001 (comp-gas)
[Submitted on 26 Aug 1994]

Title:Recognition of Temporal Sequences of Patterns

Authors:F. Zertuche (IIMAS, UNAM, Mexico), R. López-Peña (ICN, UNAM, Mexico), H. Waelbroeck (ICN, UNAM, Mexico)
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Abstract: Using an asymmetric associative network with synchronous updating, it is possible to recall a sequence of patterns. To obtain a stable sequence generation with a large storage capacity, we introduce a threshold that eliminates the contribution of weakly correlated patterns. For this system we find a set of evolution equations for the overlaps of the states with the patterns to be recognized. We solve these equations in the limit of the stationary cycle, and obtain the critical value of the capacity as a function of the threshold and temperature. Finally, a numerical simulation is made, confirming the theoretical results.
Comments: 18 pages in PlainTeX, with 5 figures available on request to the authors. To appear in J. Phys. A: Math. Gen
Subjects: Cellular Automata and Lattice Gases (nlin.CG)
Cite as: arXiv:comp-gas/9408001
  (or arXiv:comp-gas/9408001v1 for this version)
  https://doi.org/10.48550/arXiv.comp-gas/9408001

Submission history

From: Ramon Lopez [view email]
[v1] Fri, 26 Aug 1994 22:16:48 UTC (9 KB)
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