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dc.contributor.authorBurylko, Oen
dc.contributor.authorKazanovich, Yen
dc.contributor.authorBorisyuk, Ren
dc.date.accessioned2018-03-27T10:35:53Z
dc.date.available2018-03-27T10:35:53Z
dc.date.issued2014-08en
dc.identifier.urihttp://hdl.handle.net/10026.1/11183
dc.description.abstract

We study a model of globally coupled phase oscillators that contains two groups of oscillators with positive (synchronizing) and negative (desynchronizing) incoming connections for the first and second groups, respectively. This model was previously studied by Hong and Strogatz (the Hong-Strogatz model) in the case of a large number of oscillators. We consider a generalized Hong-Strogatz model with a constant phase shift in coupling. Our approach is based on the study of invariant manifolds and bifurcation analysis of the system. In the case of zero phase shift, various invariant manifolds are analytically described and a new dynamical mode is found. In the case of a nonzero phase shift we obtained a set of bifurcation diagrams for various systems with three or four oscillators. It is shown that in these cases system dynamics can be complex enough and include multistability and chaotic oscillations.

en
dc.format.extent022911 - ?en
dc.languageengen
dc.language.isoengen
dc.subjectModels, Theoreticalen
dc.subjectPeriodicityen
dc.titleBifurcation study of phase oscillator systems with attractive and repulsive interaction.en
dc.typeJournal Article
plymouth.author-urlhttps://www.ncbi.nlm.nih.gov/pubmed/25215803en
plymouth.issue2en
plymouth.volume90en
plymouth.publication-statusPublisheden
plymouth.journalPhys Rev E Stat Nonlin Soft Matter Physen
dc.identifier.doi10.1103/PhysRevE.90.022911en
plymouth.organisational-group/Plymouth
plymouth.organisational-group/Plymouth/Faculty of Science and Engineering
plymouth.organisational-group/Plymouth/Users by role
plymouth.organisational-group/Plymouth/Users by role/Researchers in ResearchFish submission
dc.publisher.placeUnited Statesen
dc.identifier.eissn1550-2376en
dc.rights.embargoperiodNot knownen
rioxxterms.funderEngineering and Physical Sciences Research Council
rioxxterms.identifier.projectBrain-Inspired Neuronal Model of Attention and Memory
rioxxterms.versionofrecord10.1103/PhysRevE.90.022911en
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserveden
rioxxterms.typeJournal Article/Reviewen
plymouth.funderBrain-Inspired Neuronal Model of Attention and Memory::Engineering and Physical Sciences Research Councilen


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