The impact of chaotic saddles on the synchronization of complex networks of discrete-Time units

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Autor(es): dc.contributorTechnische Universität Berlin-
Autor(es): dc.contributorUniversidade Federal de São Paulo (UNIFESP)-
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.contributorUniversidade de São Paulo (USP)-
Autor(es): dc.contributorCarl von Ossietzky University of Oldenburg-
Autor(es): dc.creatorMedeiros, Everton S.-
Autor(es): dc.creatorMedrano, Rene O.-T.-
Autor(es): dc.creatorCaldas, Iberê L.-
Autor(es): dc.creatorFeudel, Ulrike-
Data de aceite: dc.date.accessioned2025-08-21T18:09:22Z-
Data de disponibilização: dc.date.available2025-08-21T18:09:22Z-
Data de envio: dc.date.issued2022-04-29-
Data de envio: dc.date.issued2022-04-29-
Data de envio: dc.date.issued2021-09-01-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1088/2632-072X/abedc2-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/228934-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/228934-
Descrição: dc.descriptionA chaotic saddle is a common nonattracting chaotic set well known for generating finite-Time chaotic behavior in low and high-dimensional systems. In general, dynamical systems possessing chaotic saddles in their state-space exhibit irregular behavior with duration lengths following an exponential distribution. However, when these systems are coupled into networks the chaotic saddle plays a role in the long-Term dynamics by trapping network trajectories for times that are indefinitely long. This process transforms the network s high-dimensional state-space by creating an alternative persistent desynchronized state coexisting with the completely synchronized one. Such coexistence threatens the synchronized state with vulnerability to external perturbations. We demonstrate the onset of this phenomenon in complex networks of discrete-Time units in which the synchronization manifold is perturbed either in the initial instant of time or in arbitrary states of its asymptotic dynamics. The role of topological asymmetries of Erdös Renyi and Barabási Albert graphs are investigated. Besides, the required coupling strength for the occurrence of trapping in the chaotic saddle is unveiled.-
Descrição: dc.descriptionInstitut fur Theoretische Physik Technische Universität Berlin, Hardenbergstraße 36-
Descrição: dc.descriptionDepartamento de Física Universidade Federal de São Paulo Campus Diadema, R. São Nicolau, 210-
Descrição: dc.descriptionDepartamento de Física Universidade Estadual Paulista Instituto de Geociências e Ciências Exatas, Av. 24A, 1515-
Descrição: dc.descriptionInstitute of Physics University of São Paulo, Rua doMatão, Travessa R 187-
Descrição: dc.descriptionInstitute for Chemistry and Biology of the Marine Environment Carl von Ossietzky University of Oldenburg-
Descrição: dc.descriptionDepartamento de Física Universidade Estadual Paulista Instituto de Geociências e Ciências Exatas, Av. 24A, 1515-
Idioma: dc.languageen-
Relação: dc.relationJournal of Physics: Complexity-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectChaotic saddle-
Palavras-chave: dc.subjectNetworks-
Palavras-chave: dc.subjectSynchronization-
Título: dc.titleThe impact of chaotic saddles on the synchronization of complex networks of discrete-Time units-
Tipo de arquivo: dc.typelivro digital-
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