Controllability and synchronizability: are they related?

dc.creatorLuis Antonio Aguirre
dc.creatorChristophe Letellier
dc.date.accessioned2025-03-26T14:01:00Z
dc.date.accessioned2025-09-08T23:24:43Z
dc.date.available2025-03-26T14:01:00Z
dc.date.issued2016
dc.identifier.doi10.1016/j.chaos.2015.12.009
dc.identifier.issn0960-0779
dc.identifier.urihttps://hdl.handle.net/1843/80936
dc.languageeng
dc.publisherUniversidade Federal de Minas Gerais
dc.relation.ispartofChaos, Solitons & Fractals
dc.rightsAcesso Restrito
dc.subjectSistemas lineares
dc.subjectLiapunov, Funções de
dc.subjectTeoria dos grafos
dc.subject.otherWe investigate if controllability coefficients correlate with measures of synchronization performance.
dc.subject.otherWe use two toy-models: the Rössler and cord systems.
dc.subject.otherWe considered four different synchronization schemes.
dc.subject.otherWe did not find any general relation between controllability coefficients and synchronizability for the investigated systems
dc.subject.otherControllability, Observability, Synchronization, Nonlinear dynamics
dc.subject.otheranalysis of synchronization schemes
dc.titleControllability and synchronizability: are they related?
dc.typeArtigo de periódico
local.citation.epage251
local.citation.spage242
local.citation.volume83
local.description.resumoIn the two last decades the concept of observability has been formally linked to that of embedding in the context of nonlinear dynamics. Such a concept has been shown to play an important role in global modeling, data analysis and filtering, to mention a few examples. Preliminary results suggested that observability, at least in some cases, has some influence in synchronization problems. Could the dual concept of controllability also be important in such problems? In the context of synchronization, in general, the role played by controllability properties may not be as relevant as observability is for data analysis. In this work we compute controllability coefficients analogous to the observability ones, now established in the literature, and evaluate their importance in synchronization problems. Two benchmarks have been used in the simulations: the Rössler and the cord systems. The following schemes were investigated: synchronization to external sinusoidal force, complete replacement, uni- and bi-directional coupling of identical oscillators. The results discussed in this work show that controllability and synchronizability are not related in general.
local.publisher.countryBrasil
local.publisher.departmentENG - DEPARTAMENTO DE ENGENHARIA ELETRÔNICA
local.publisher.initialsUFMG
local.url.externahttps://www.sciencedirect.com/science/article/pii/S0960077915004270

Arquivos

Licença do pacote

Agora exibindo 1 - 1 de 1
Carregando...
Imagem de Miniatura
Nome:
License.txt
Tamanho:
1.99 KB
Formato:
Plain Text
Descrição: