Route to chaos in a third-order phase-locked loop network

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dc.contributor.authorMonteiro L.H.A.
dc.contributor.authorLisboa A.C.
dc.contributor.authorEisencraft M.
dc.date.accessioned2024-03-13T01:34:32Z
dc.date.available2024-03-13T01:34:32Z
dc.date.issued2009
dc.description.abstractPhase-locked loops (PLLs) are widely used in applications related to control systems and telecommunication networks. Here we show that a single-chain master-slave network of third-order PLLs can exhibit stationary, periodic and chaotic behaviors, when the value of a single parameter is varied. Hopf, period-doubling and saddle-saddle bifurcations are found. Chaos appears in dissipative and non-dissipative conditions. Thus, chaotic behaviors with distinct dynamical features can be generated. A way of encoding binary messages using such a chaos-based communication system is suggested. © 2009 Elsevier B.V. All rights reserved.
dc.description.firstpage1678
dc.description.issuenumber8
dc.description.lastpage1682
dc.description.volume89
dc.identifier.doi10.1016/j.sigpro.2009.03.006
dc.identifier.issn0165-1684
dc.identifier.urihttps://dspace.mackenzie.br/handle/10899/37352
dc.relation.ispartofSignal Processing
dc.rightsAcesso Restrito
dc.subject.otherlanguageChaos
dc.subject.otherlanguageHopf bifurcation
dc.subject.otherlanguagePeriod-doubling bifurcation
dc.subject.otherlanguagePhase-locked loop
dc.subject.otherlanguageSaddle-saddle bifurcation
dc.subject.otherlanguageSynchronism
dc.titleRoute to chaos in a third-order phase-locked loop network
dc.typeArtigo
local.scopus.citations10
local.scopus.eid2-s2.0-64749109972
local.scopus.subjectChaos
local.scopus.subjectPeriod-doubling bifurcation
local.scopus.subjectPhase-locked loop
local.scopus.subjectSaddle-saddle bifurcation
local.scopus.subjectSynchronism
local.scopus.updated2024-05-01
local.scopus.urlhttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=64749109972&origin=inward
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