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Storing and Recognizing Information Based on Stable Cycles of One-Dimensional Maps

Dmitriev A.S., Panas A.I., Starkov S.O. Institute of Radioengineering and Electronics of RAS Mokhovaya st. 11, GSP-3, Moscow 103907, Russia

Phys. Lett. A, 1991, vol. 155, pp.494-499. Received 10 September 1990; revised 5 March 1991.

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Abstract

The possibility of storing and recognizing information based on nonlinear dynamic systems is investigated. To this end a special kind of one-dimensional map of a section into itself is introduced whose stable cycles are in one-to-one correspondence with information blocks in the form of finite segments of symbols. Recognition of an information block is achieved when the trajectory converges towards the cycle when the initial conditions corresponding to a specified information block fragment are preset.

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