Capacity of Oscillatory Associative-Memory Networks with Error-Free Retrieval

Takashi Nishikawa*, Ying Cheng Lai, Frank C. Hoppensteadt

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

49 Scopus citations

Abstract

An analysis of the local stability of the error-free memory pattern solutions for a new type of oscillatory model of associative memory was discussed. The model includes an extra, second-order Fourier mode in the coupling function, which enables us to control the stability of the solutions for all patterns and to distinguish the memory pattern form others by their stabilities. This model was closely related to the cumulative distribution function of spikes in neural networks. The capacity of model turns out to follow the same scaling with the number of neurons as in the case of the classical Hopfield model, but with a prefactor that depends on the relative strength of the second-order mode.

Original languageEnglish (US)
Article number108101
Pages (from-to)108101-1-108101-4
JournalPhysical review letters
Volume92
Issue number10
DOIs
StatePublished - Mar 12 2004

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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