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A Mathematical Model for Storage and Recall of Images using Targeted Synchronization of Coupled Maps

Palaniyandi, P and Rangarajan, Govindan (2017) A Mathematical Model for Storage and Recall of Images using Targeted Synchronization of Coupled Maps. In: SCIENTIFIC REPORTS, 7 .

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Official URL: http://doi.org/10.1038/s41598-017-09440-6

Abstract

We propose a mathematical model for storage and recall of images using coupled maps. We start by theoretically investigating targeted synchronization in coupled map systems wherein only a desired (partial) subset of the maps is made to synchronize. A simple method is introduced to specify coupling coefficients such that targeted synchronization is ensured. The principle of this method is extended to storage/recall of images using coupled Rulkov maps. The process of adjusting coupling coefficients between Rulkov maps (often used to model neurons) for the purpose of storing a desired image mimics the process of adjusting synaptic strengths between neurons to store memories. Our method uses both synchronisation and synaptic weight modification, as the human brain is thought to do. The stored image can be recalled by providing an initial random pattern to the dynamical system. The storage and recall of the standard image of Lena is explicitly demonstrated.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the NATURE PUBLISHING GROUP, MACMILLAN BUILDING, 4 CRINAN ST, LONDON N1 9XW, ENGLAND
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Depositing User: Id for Latest eprints
Date Deposited: 16 Sep 2017 06:18
Last Modified: 16 Sep 2017 06:18
URI: http://eprints.iisc.ac.in/id/eprint/57812

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