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Geometric signature of complex synchronisation scenarios
Stockholm University, Faculty of Science, Stockholm Resilience Centre. Potsdam Institute for Climate Impact Research, Germany; Humboldt University of Berlin, Germany.
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2013 (English)In: Europhysics letters, ISSN 0295-5075, E-ISSN 1286-4854, Vol. 102, no 3, 30007- p.Article in journal (Refereed) Published
Abstract [en]

Synchronisation between coupled oscillatory systems is a common phenomenon in many natural as well as technical systems. Varying the coupling strength often leads to qualitative changes in the dynamics exhibiting different types of synchronisation. Here, we study the geometric signatures of coupling along with the onset of generalised synchronisation (GS) between two coupled chaotic oscillators by mapping the systems' individual as well as joint recurrences in phase space to a complex network. For a paradigmatic continuous-time model system, we show that the transitivity properties of the resulting joint recurrence networks display distinct variations associated with changes in the structural similarity between different parts of the considered trajectories. They therefore provide a useful new indicator for the emergence of GS.

Place, publisher, year, edition, pages
2013. Vol. 102, no 3, 30007- p.
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Physical Sciences
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URN: urn:nbn:se:su:diva-91842DOI: 10.1209/0295-5075/102/30007ISI: 000319697000007OAI: oai:DiVA.org:su-91842DiVA: diva2:635819
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AuthorCount:5;

Available from: 2013-07-05 Created: 2013-07-04 Last updated: 2017-12-06Bibliographically approved

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