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  Synchronization mechanisms of resonant limit cycle on two-dimensional torus

Anishchenko, V. S., Nikolaev, S. M., Kurths, J. (2008): Synchronization mechanisms of resonant limit cycle on two-dimensional torus. - Nelinejnaja Dinamika, 4, 1, 39-55.
https://doi.org/10.20537/nd0801002

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Item Permalink: https://publications.pik-potsdam.de/pubman/item/item_15123 Version Permalink: https://publications.pik-potsdam.de/pubman/item/item_15123_3
Genre: Journal Article

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Anishchenko, V. S.1, Author
Nikolaev, S. M.1, Author
Kurths, Jürgen2, Author              
Affiliations:
1External Organizations, ou_persistent22              
2Potsdam Institute for Climate Impact Research, ou_persistent13              

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 Abstract: We investigate synchronization of a resonant limit cycle on a two dimensional torus by an external harmonic signal. The regime of resonant limit cycle is realized in a system of two coupled Van der Pol oscillators, we consider the resonances 1:1 and 1:3. We analyse the influence of the generators coupling strength. We show, that generally the effect of synchronization of a resonant limit cycle on torus is followed by the distruction of the resonance in the system, next one of the basic frequencies of the system becomes locked, and then another. We consider the bifurcation mechanism of synchronization effect.

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 Dates: 2008
 Publication Status: Finally published
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 Identifiers: DOI: 10.20537/nd0801002
PIKDOMAIN: Transdisciplinary Concepts & Methods - Research Domain IV
eDoc: 3834
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Title: Nelinejnaja Dinamika
Source Genre: Journal, other, oa
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Pages: - Volume / Issue: 4 (1) Sequence Number: - Start / End Page: 39 - 55 Identifier: CoNE: https://publications.pik-potsdam.de/cone/journals/resource/nelinejnaja-dinamika