Phase chaos and multistability in the discrete Kuramoto model
The paper describes the appearance of a novel, a high-dimensional chaotic regime, called phase chaos, in the discrete Kuramoto model of globally coupled phase oscillators. This type of chaos is observed at small and intermediate values of the coupling strength. It is caused by the nonlinear intera...
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| Datum: | 2008 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут математики НАН України
2008
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| Schriftenreihe: | Нелінійні коливання |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/178576 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Phase chaos and multistability in the discrete Kuramoto model / V.L. Maistrenko, A.A. Vasylenko, Y.L. Maistrenko, E. Mosekilde // Нелінійні коливання. — 2008. — Т. 11, № 2. — С. 217-229. — Бібліогр.: 22 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | The paper describes the appearance of a novel, a high-dimensional chaotic regime, called phase chaos, in
the discrete Kuramoto model of globally coupled phase oscillators. This type of chaos is observed at small
and intermediate values of the coupling strength. It is caused by the nonlinear interaction of the oscillators,
while the individual oscillators behave periodically when left uncoupled. For the four-dimensional discrete
Kuramoto model we outlined the region of the phase chaos in the parameter plane and distinguished the
region where the phase chaos coexists with other periodic attractors, and demonstrate, in addition, that the
transition to the phase chaos takes place through the torus destruction scenario. |
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