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

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 c...

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Autores principales:	P. Palaniyandi, Govindan Rangarajan
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/2d80a6e2752d44649776a5cb55032937
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spelling	oai:doaj.org-article:2d80a6e2752d44649776a5cb550329372021-12-02T12:31:54ZA Mathematical Model for Storage and Recall of Images using Targeted Synchronization of Coupled Maps10.1038/s41598-017-09440-62045-2322https://doaj.org/article/2d80a6e2752d44649776a5cb550329372017-08-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-09440-6https://doaj.org/toc/2045-2322Abstract 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.P. PalaniyandiGovindan RangarajanNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-8 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q P. Palaniyandi Govindan Rangarajan A Mathematical Model for Storage and Recall of Images using Targeted Synchronization of Coupled Maps
description	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.
format	article
author	P. Palaniyandi Govindan Rangarajan
author_facet	P. Palaniyandi Govindan Rangarajan
author_sort	P. Palaniyandi
title	A Mathematical Model for Storage and Recall of Images using Targeted Synchronization of Coupled Maps
title_short	A Mathematical Model for Storage and Recall of Images using Targeted Synchronization of Coupled Maps
title_full	A Mathematical Model for Storage and Recall of Images using Targeted Synchronization of Coupled Maps
title_fullStr	A Mathematical Model for Storage and Recall of Images using Targeted Synchronization of Coupled Maps
title_full_unstemmed	A Mathematical Model for Storage and Recall of Images using Targeted Synchronization of Coupled Maps
title_sort	mathematical model for storage and recall of images using targeted synchronization of coupled maps
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/2d80a6e2752d44649776a5cb55032937
work_keys_str_mv	AT ppalaniyandi amathematicalmodelforstorageandrecallofimagesusingtargetedsynchronizationofcoupledmaps AT govindanrangarajan amathematicalmodelforstorageandrecallofimagesusingtargetedsynchronizationofcoupledmaps AT ppalaniyandi mathematicalmodelforstorageandrecallofimagesusingtargetedsynchronizationofcoupledmaps AT govindanrangarajan mathematicalmodelforstorageandrecallofimagesusingtargetedsynchronizationofcoupledmaps
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A Mathematical Model for Storage and Recall of Images using Targeted Synchronization of Coupled Maps

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