Spiral periodic structures in a parameter plane of an ecological model

Bibliographic Details
Main Author: Da Silva R.A.*
Publication Date: 2015
Other Authors: Rech P.C.*
Format: Article
Language: eng
Source: Repositório Institucional da Udesc
dARK ID: ark:/33523/00130000092j1
Download full: https://repositorio.udesc.br/handle/UDESC/8098
Summary: © 2015 Elsevier Inc. All rights reserved.We investigate a parameter plane of a set of three autonomous, ten-parameter, first-order nonlinear ordinary differential equations, which models a tri-trophic food web system. By using Lyapunov exponents, bifurcation diagrams, and trajectories in the phase-space, to numerically characterize the dynamics of the model in a parameter plane, we show that it presents typical periodic structures embedded in a chaotic region, forming a spiral structure that coils up around a focal point while period-adding bifurcations take place.
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spelling Spiral periodic structures in a parameter plane of an ecological model© 2015 Elsevier Inc. All rights reserved.We investigate a parameter plane of a set of three autonomous, ten-parameter, first-order nonlinear ordinary differential equations, which models a tri-trophic food web system. By using Lyapunov exponents, bifurcation diagrams, and trajectories in the phase-space, to numerically characterize the dynamics of the model in a parameter plane, we show that it presents typical periodic structures embedded in a chaotic region, forming a spiral structure that coils up around a focal point while period-adding bifurcations take place.2024-12-06T13:58:32Z2015info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlep. 9 - 130096-300310.1016/j.amc.2014.12.115https://repositorio.udesc.br/handle/UDESC/8098ark:/33523/00130000092j1Applied Mathematics and Computation254Da Silva R.A.*Rech P.C.*engreponame:Repositório Institucional da Udescinstname:Universidade do Estado de Santa Catarina (UDESC)instacron:UDESCinfo:eu-repo/semantics/openAccess2024-12-07T20:56:24Zoai:repositorio.udesc.br:UDESC/8098Biblioteca Digital de Teses e Dissertaçõeshttps://pergamumweb.udesc.br/biblioteca/index.phpPRIhttps://repositorio-api.udesc.br/server/oai/requestri@udesc.bropendoar:63912024-12-07T20:56:24Repositório Institucional da Udesc - Universidade do Estado de Santa Catarina (UDESC)false
dc.title.none.fl_str_mv Spiral periodic structures in a parameter plane of an ecological model
title Spiral periodic structures in a parameter plane of an ecological model
spellingShingle Spiral periodic structures in a parameter plane of an ecological model
Da Silva R.A.*
title_short Spiral periodic structures in a parameter plane of an ecological model
title_full Spiral periodic structures in a parameter plane of an ecological model
title_fullStr Spiral periodic structures in a parameter plane of an ecological model
title_full_unstemmed Spiral periodic structures in a parameter plane of an ecological model
title_sort Spiral periodic structures in a parameter plane of an ecological model
author Da Silva R.A.*
author_facet Da Silva R.A.*
Rech P.C.*
author_role author
author2 Rech P.C.*
author2_role author
dc.contributor.author.fl_str_mv Da Silva R.A.*
Rech P.C.*
description © 2015 Elsevier Inc. All rights reserved.We investigate a parameter plane of a set of three autonomous, ten-parameter, first-order nonlinear ordinary differential equations, which models a tri-trophic food web system. By using Lyapunov exponents, bifurcation diagrams, and trajectories in the phase-space, to numerically characterize the dynamics of the model in a parameter plane, we show that it presents typical periodic structures embedded in a chaotic region, forming a spiral structure that coils up around a focal point while period-adding bifurcations take place.
publishDate 2015
dc.date.none.fl_str_mv 2015
2024-12-06T13:58:32Z
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 0096-3003
10.1016/j.amc.2014.12.115
https://repositorio.udesc.br/handle/UDESC/8098
dc.identifier.dark.fl_str_mv ark:/33523/00130000092j1
identifier_str_mv 0096-3003
10.1016/j.amc.2014.12.115
ark:/33523/00130000092j1
url https://repositorio.udesc.br/handle/UDESC/8098
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Applied Mathematics and Computation
254
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv p. 9 - 13
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
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