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Winding number locking on a two-dimensional torus : synchronization of quasiperiodic motions

  • We propose a new autonomous dynamical system of dimension N=4 that demonstrates the regime of stable two- frequency motions and period-doubling bifurcations of a two-dimensional torus. It is shown that the period-doubling bifurcation of the two-dimensional torus is not followed by the resonance phenomenon, and the two-dimensional ergodic torus undergoes a period-doubling bifurcation. The interaction of two generators is also analyzed. The phenomenon of external and mutual synchronization of two-frequency oscillations is observed, for which winding number locking on a two- dimensional torus takes place

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Author:Vadim S. Anishchenko, S Nikolaev, Jürgen KurthsORCiDGND
URL:http://pre.aps.org/
DOI:https://doi.org/10.1103/Physreve.73.056202
ISSN:1539-3755
Document Type:Article
Language:English
Year of first Publication:2006
Year of Completion:2006
Release Date:2017/03/24
Source:Physical review / e. ISSN 1539-3755. - 73 (2006), 5, Art. 056202 Part 2
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Peer Review:Referiert
Institution name at the time of publication:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik