Dynamics of Rössler oscillators in a star network with the central node controlled by an external system

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dc.contributor.authorNjougouo, Thierry
dc.contributor.authorSimo, Gaël R.
dc.contributor.authorLouodop, Patrick [UNESP]
dc.contributor.authorFerreira, Fernando Fagundes
dc.contributor.authorTalla, Pierre K.
dc.contributor.institutionUniversity of Dschang
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.date.accessioned2021-06-25T10:37:49Z
dc.date.available2021-06-25T10:37:49Z
dc.date.issued2020-12-01
dc.description.abstractThe 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.en
dc.description.affiliationResearch Unit Condensed Matter Electronics and Signal Processing University of Dschang, P.O. Box 67
dc.description.affiliationSao Paulo State University - UNESP Instituto de Fisica Teorica, Rua Doutor Bento Teobaldo Ferraz 271, Bloco II, Barra Funda
dc.description.affiliationCenter for Interdisciplinary Research on Complex Systems University of Sao Paulo, Av. Arlindo Bettio 1000
dc.description.affiliationDepartment of Physics-FFCLRP University of São Paulo
dc.description.affiliationL2MSP University of Dschang, P.O. Box 67
dc.description.affiliationUnespSao Paulo State University - UNESP Instituto de Fisica Teorica, Rua Doutor Bento Teobaldo Ferraz 271, Bloco II, Barra Funda
dc.format.extent2875-2885
dc.identifierhttp://dx.doi.org/10.1007/s11071-020-06047-x
dc.identifier.citationNonlinear Dynamics, v. 102, n. 4, p. 2875-2885, 2020.
dc.identifier.doi10.1007/s11071-020-06047-x
dc.identifier.issn1573-269X
dc.identifier.issn0924-090X
dc.identifier.scopus2-s2.0-85094809258
dc.identifier.urihttp://hdl.handle.net/11449/206766
dc.language.isoeng
dc.relation.ispartofNonlinear Dynamics
dc.sourceScopus
dc.subjectChaos
dc.subjectHamiltonian formalism
dc.subjectStar network
dc.subjectSynchronization
dc.titleDynamics of Rössler oscillators in a star network with the central node controlled by an external systemen
dc.typeArtigo
unesp.author.orcid0000-0002-2975-2420[3]

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