Dynamics of Rössler oscillators in a star network with the central node controlled by an external system
Autor(a) principal: | |
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Data de Publicação: | 2020 |
Outros Autores: | , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1007/s11071-020-06047-x http://hdl.handle.net/11449/206766 |
Resumo: | The present work studies the dynamics of chaotic Rössler oscillators in a star network, where the central node or relay system is controlled by an external and similar system. Without the outer systems, the middle oscillator of the network is an amplified observer of the driver. Varying both amplification and coupling parameters leads the outer systems and the driver–relay to various behaviors. To perform the robustness of the synchronization between different blocks of our network, a certain amount of noise is introduced in all the external systems. This is done to deal with not only the noise amplitude but also the cumulative effects since the noise is introduced in all the outer systems. Later, a finite duration feedback (taken as a single interval) from the relay to the driver is considered to improve the synchronization domain between the driver and relay unit and to accelerate the coherent motion between outer systems. We analyze how synchronization works using the Hamiltonian formalism. We confirm our analysis through mathematical developments and numerical simulations. |
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Repositório Institucional da UNESP |
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Dynamics of Rössler oscillators in a star network with the central node controlled by an external systemChaosHamiltonian formalismStar networkSynchronizationThe present work studies the dynamics of chaotic Rössler oscillators in a star network, where the central node or relay system is controlled by an external and similar system. Without the outer systems, the middle oscillator of the network is an amplified observer of the driver. Varying both amplification and coupling parameters leads the outer systems and the driver–relay to various behaviors. To perform the robustness of the synchronization between different blocks of our network, a certain amount of noise is introduced in all the external systems. This is done to deal with not only the noise amplitude but also the cumulative effects since the noise is introduced in all the outer systems. Later, a finite duration feedback (taken as a single interval) from the relay to the driver is considered to improve the synchronization domain between the driver and relay unit and to accelerate the coherent motion between outer systems. We analyze how synchronization works using the Hamiltonian formalism. We confirm our analysis through mathematical developments and numerical simulations.Research Unit Condensed Matter Electronics and Signal Processing University of Dschang, P.O. Box 67Sao Paulo State University - UNESP Instituto de Fisica Teorica, Rua Doutor Bento Teobaldo Ferraz 271, Bloco II, Barra FundaCenter for Interdisciplinary Research on Complex Systems University of Sao Paulo, Av. Arlindo Bettio 1000Department of Physics-FFCLRP University of São PauloL2MSP University of Dschang, P.O. Box 67Sao Paulo State University - UNESP Instituto de Fisica Teorica, Rua Doutor Bento Teobaldo Ferraz 271, Bloco II, Barra FundaUniversity of DschangUniversidade Estadual Paulista (Unesp)Universidade de São Paulo (USP)Njougouo, ThierrySimo, Gaël R.Louodop, Patrick [UNESP]Ferreira, Fernando FagundesTalla, Pierre K.2021-06-25T10:37:49Z2021-06-25T10:37:49Z2020-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article2875-2885http://dx.doi.org/10.1007/s11071-020-06047-xNonlinear Dynamics, v. 102, n. 4, p. 2875-2885, 2020.1573-269X0924-090Xhttp://hdl.handle.net/11449/20676610.1007/s11071-020-06047-x2-s2.0-85094809258Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengNonlinear Dynamicsinfo:eu-repo/semantics/openAccess2021-10-23T15:01:46Zoai:repositorio.unesp.br:11449/206766Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-23T15:01:46Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Dynamics of Rössler oscillators in a star network with the central node controlled by an external system |
title |
Dynamics of Rössler oscillators in a star network with the central node controlled by an external system |
spellingShingle |
Dynamics of Rössler oscillators in a star network with the central node controlled by an external system Njougouo, Thierry Chaos Hamiltonian formalism Star network Synchronization |
title_short |
Dynamics of Rössler oscillators in a star network with the central node controlled by an external system |
title_full |
Dynamics of Rössler oscillators in a star network with the central node controlled by an external system |
title_fullStr |
Dynamics of Rössler oscillators in a star network with the central node controlled by an external system |
title_full_unstemmed |
Dynamics of Rössler oscillators in a star network with the central node controlled by an external system |
title_sort |
Dynamics of Rössler oscillators in a star network with the central node controlled by an external system |
author |
Njougouo, Thierry |
author_facet |
Njougouo, Thierry Simo, Gaël R. Louodop, Patrick [UNESP] Ferreira, Fernando Fagundes Talla, Pierre K. |
author_role |
author |
author2 |
Simo, Gaël R. Louodop, Patrick [UNESP] Ferreira, Fernando Fagundes Talla, Pierre K. |
author2_role |
author author author author |
dc.contributor.none.fl_str_mv |
University of Dschang Universidade Estadual Paulista (Unesp) Universidade de São Paulo (USP) |
dc.contributor.author.fl_str_mv |
Njougouo, Thierry Simo, Gaël R. Louodop, Patrick [UNESP] Ferreira, Fernando Fagundes Talla, Pierre K. |
dc.subject.por.fl_str_mv |
Chaos Hamiltonian formalism Star network Synchronization |
topic |
Chaos Hamiltonian formalism Star network Synchronization |
description |
The present work studies the dynamics of chaotic Rössler oscillators in a star network, where the central node or relay system is controlled by an external and similar system. Without the outer systems, the middle oscillator of the network is an amplified observer of the driver. Varying both amplification and coupling parameters leads the outer systems and the driver–relay to various behaviors. To perform the robustness of the synchronization between different blocks of our network, a certain amount of noise is introduced in all the external systems. This is done to deal with not only the noise amplitude but also the cumulative effects since the noise is introduced in all the outer systems. Later, a finite duration feedback (taken as a single interval) from the relay to the driver is considered to improve the synchronization domain between the driver and relay unit and to accelerate the coherent motion between outer systems. We analyze how synchronization works using the Hamiltonian formalism. We confirm our analysis through mathematical developments and numerical simulations. |
publishDate |
2020 |
dc.date.none.fl_str_mv |
2020-12-01 2021-06-25T10:37:49Z 2021-06-25T10:37:49Z |
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 |
http://dx.doi.org/10.1007/s11071-020-06047-x Nonlinear Dynamics, v. 102, n. 4, p. 2875-2885, 2020. 1573-269X 0924-090X http://hdl.handle.net/11449/206766 10.1007/s11071-020-06047-x 2-s2.0-85094809258 |
url |
http://dx.doi.org/10.1007/s11071-020-06047-x http://hdl.handle.net/11449/206766 |
identifier_str_mv |
Nonlinear Dynamics, v. 102, n. 4, p. 2875-2885, 2020. 1573-269X 0924-090X 10.1007/s11071-020-06047-x 2-s2.0-85094809258 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Nonlinear Dynamics |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
2875-2885 |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1797789976577966080 |