Storing and Retrieving Information as Stable Cycles of 2-D and Multi-Dimensional Maps

Yu.V. Andreyev, Yu.L. Belsky and A.S. Dmitriev

Radiotekhnika i elektronika, 1994, vol. 39, No. 1, pp.114-123. Received 30.06.1993.

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Abstract

Storing and retrieving information as limit cycles of 2D or multi-dimensional maps is investigated. For this purpose, the one-dimensional maps for storing information proposed earlier (A.S. Dmitriev, "Storing and recovering information in 1-D dynamic systems", Radiotekhnika i elektronika, 1991, vol.36, No. 1, pp. 101-108 (in Russian); Dmitriev, A.S., Panas, A.I., and Starkov S.O. "Storing and recognition information based on stable cycles of one-dimensional map", Phys. Lett. A, 1991, v.155, pp.494-499) are generalized to two dimensions and more. Information capacity of the maps as storing systems and the basins of attraction of information-carrying limit cycles are considered.