Arnold tongues and the Devil's Staircase in a discrete-time Hindmarsh-Rose neuron model

Bibliographic Details
Main Author: Felicio C.C.*
Publication Date: 2015
Other Authors: Rech P.C.*
Format: Article
Language: eng
Source: Repositório Institucional da Udesc
dARK ID: ark:/33523/001300000hvcq
Download full: https://repositorio.udesc.br/handle/UDESC/7881
Summary: © 2015 Elsevier B.V. All rights reserved.We investigate a three-dimensional discrete-time dynamical system, described by a three-dimensional map derived from a continuous-time Hindmarsh-Rose neuron model by the forward Euler method. For a fixed integration step size, we report a two-dimensional parameter-space for this system, where periodic structures, the so-called Arnold tongues, can be seen with periods organized in a Farey tree sequence. We also report possible modifications in this parameter-space, as a function of the integration step size.
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spelling Arnold tongues and the Devil's Staircase in a discrete-time Hindmarsh-Rose neuron model© 2015 Elsevier B.V. All rights reserved.We investigate a three-dimensional discrete-time dynamical system, described by a three-dimensional map derived from a continuous-time Hindmarsh-Rose neuron model by the forward Euler method. For a fixed integration step size, we report a two-dimensional parameter-space for this system, where periodic structures, the so-called Arnold tongues, can be seen with periods organized in a Farey tree sequence. We also report possible modifications in this parameter-space, as a function of the integration step size.2024-12-06T13:53:21Z2015info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlep. 2845 - 28470375-960110.1016/j.physleta.2015.09.021https://repositorio.udesc.br/handle/UDESC/7881ark:/33523/001300000hvcqPhysics Letters, Section A: General, Atomic and Solid State Physics37943-44Felicio C.C.*Rech P.C.*engreponame:Repositório Institucional da Udescinstname:Universidade do Estado de Santa Catarina (UDESC)instacron:UDESCinfo:eu-repo/semantics/openAccess2024-12-07T20:55:41Zoai:repositorio.udesc.br:UDESC/7881Biblioteca Digital de Teses e Dissertaçõeshttps://pergamumweb.udesc.br/biblioteca/index.phpPRIhttps://repositorio-api.udesc.br/server/oai/requestri@udesc.bropendoar:63912024-12-07T20:55:41Repositório Institucional da Udesc - Universidade do Estado de Santa Catarina (UDESC)false
dc.title.none.fl_str_mv Arnold tongues and the Devil's Staircase in a discrete-time Hindmarsh-Rose neuron model
title Arnold tongues and the Devil's Staircase in a discrete-time Hindmarsh-Rose neuron model
spellingShingle Arnold tongues and the Devil's Staircase in a discrete-time Hindmarsh-Rose neuron model
Felicio C.C.*
title_short Arnold tongues and the Devil's Staircase in a discrete-time Hindmarsh-Rose neuron model
title_full Arnold tongues and the Devil's Staircase in a discrete-time Hindmarsh-Rose neuron model
title_fullStr Arnold tongues and the Devil's Staircase in a discrete-time Hindmarsh-Rose neuron model
title_full_unstemmed Arnold tongues and the Devil's Staircase in a discrete-time Hindmarsh-Rose neuron model
title_sort Arnold tongues and the Devil's Staircase in a discrete-time Hindmarsh-Rose neuron model
author Felicio C.C.*
author_facet Felicio C.C.*
Rech P.C.*
author_role author
author2 Rech P.C.*
author2_role author
dc.contributor.author.fl_str_mv Felicio C.C.*
Rech P.C.*
description © 2015 Elsevier B.V. All rights reserved.We investigate a three-dimensional discrete-time dynamical system, described by a three-dimensional map derived from a continuous-time Hindmarsh-Rose neuron model by the forward Euler method. For a fixed integration step size, we report a two-dimensional parameter-space for this system, where periodic structures, the so-called Arnold tongues, can be seen with periods organized in a Farey tree sequence. We also report possible modifications in this parameter-space, as a function of the integration step size.
publishDate 2015
dc.date.none.fl_str_mv 2015
2024-12-06T13:53:21Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv 0375-9601
10.1016/j.physleta.2015.09.021
https://repositorio.udesc.br/handle/UDESC/7881
dc.identifier.dark.fl_str_mv ark:/33523/001300000hvcq
identifier_str_mv 0375-9601
10.1016/j.physleta.2015.09.021
ark:/33523/001300000hvcq
url https://repositorio.udesc.br/handle/UDESC/7881
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Physics Letters, Section A: General, Atomic and Solid State Physics
379
43-44
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv p. 2845 - 2847
dc.source.none.fl_str_mv reponame:Repositório Institucional da Udesc
instname:Universidade do Estado de Santa Catarina (UDESC)
instacron:UDESC
instname_str Universidade do Estado de Santa Catarina (UDESC)
instacron_str UDESC
institution UDESC
reponame_str Repositório Institucional da Udesc
collection Repositório Institucional da Udesc
repository.name.fl_str_mv Repositório Institucional da Udesc - Universidade do Estado de Santa Catarina (UDESC)
repository.mail.fl_str_mv ri@udesc.br
_version_ 1842258134629875712

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