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Forced synchronization of quasiperiodic oscillations. / Stankevich, N. V.; Kurths, J.; Kuznetsov, A. P.

In: Communications in Nonlinear Science and Numerical Simulation, Vol. 20, No. 1, 01.2015, p. 316-323.

Research output: Contribution to journal › Article › peer-review

Harvard

Stankevich, NV, Kurths, J & Kuznetsov, AP 2015, 'Forced synchronization of quasiperiodic oscillations', Communications in Nonlinear Science and Numerical Simulation, vol. 20, no. 1, pp. 316-323. https://doi.org/10.1016/j.cnsns.2014.04.020

APA

Stankevich, N. V., Kurths, J., & Kuznetsov, A. P. (2015). Forced synchronization of quasiperiodic oscillations. Communications in Nonlinear Science and Numerical Simulation, 20(1), 316-323. https://doi.org/10.1016/j.cnsns.2014.04.020

Vancouver

Stankevich NV, Kurths J, Kuznetsov AP. Forced synchronization of quasiperiodic oscillations. Communications in Nonlinear Science and Numerical Simulation. 2015 Jan;20(1):316-323. https://doi.org/10.1016/j.cnsns.2014.04.020

Author

Stankevich, N. V. ; Kurths, J. ; Kuznetsov, A. P. / Forced synchronization of quasiperiodic oscillations. In: Communications in Nonlinear Science and Numerical Simulation. 2015 ; Vol. 20, No. 1. pp. 316-323.

BibTeX

@article{e93834c3955a470ca06824487fed3cb1,
title = "Forced synchronization of quasiperiodic oscillations",
abstract = "A model of a generator of quasiperiodic oscillations forced by a periodic pulse sequence is studied. We analyze synchronization when the autonomous generator demonstrates periodic, quasiperiodic, respective weakly chaotic oscillations. For the forced quasiperiodic oscillations a picture of synchronization, consisting of small-scale and large-scale structures was uncovered. It even includes the existence of stable the three-frequency tori. For the regime of weak chaos a partial destruction of this features and of the regime of three-frequency tori are found.",
keywords = "Dynamical system, Lyapunov exponents, Quasiperiodic oscillations, Synchronization",
author = "Stankevich, {N. V.} and J. Kurths and Kuznetsov, {A. P.}",
note = "Funding Information: This research was supported by the Grants of RFBR No. 14-02-00085 and of RF President program for leading Russian research schools NSh-1726.2014.2. N.V.S. thanks IRTG 1740 (DFG) for supporting her visit to The Potsdam Institute for Climate Impact Research.",
year = "2015",
month = jan,
doi = "10.1016/j.cnsns.2014.04.020",
language = "English",
volume = "20",
pages = "316--323",
journal = "Communications in Nonlinear Science and Numerical Simulation",
issn = "1007-5704",
publisher = "Elsevier",
number = "1",

}

RIS

TY - JOUR

T1 - Forced synchronization of quasiperiodic oscillations

AU - Stankevich, N. V.

AU - Kurths, J.

AU - Kuznetsov, A. P.

N1 - Funding Information: This research was supported by the Grants of RFBR No. 14-02-00085 and of RF President program for leading Russian research schools NSh-1726.2014.2. N.V.S. thanks IRTG 1740 (DFG) for supporting her visit to The Potsdam Institute for Climate Impact Research.

PY - 2015/1

Y1 - 2015/1

N2 - A model of a generator of quasiperiodic oscillations forced by a periodic pulse sequence is studied. We analyze synchronization when the autonomous generator demonstrates periodic, quasiperiodic, respective weakly chaotic oscillations. For the forced quasiperiodic oscillations a picture of synchronization, consisting of small-scale and large-scale structures was uncovered. It even includes the existence of stable the three-frequency tori. For the regime of weak chaos a partial destruction of this features and of the regime of three-frequency tori are found.

AB - A model of a generator of quasiperiodic oscillations forced by a periodic pulse sequence is studied. We analyze synchronization when the autonomous generator demonstrates periodic, quasiperiodic, respective weakly chaotic oscillations. For the forced quasiperiodic oscillations a picture of synchronization, consisting of small-scale and large-scale structures was uncovered. It even includes the existence of stable the three-frequency tori. For the regime of weak chaos a partial destruction of this features and of the regime of three-frequency tori are found.

KW - Dynamical system

KW - Lyapunov exponents

KW - Quasiperiodic oscillations

KW - Synchronization

UR - http://www.scopus.com/inward/record.url?scp=84905380487&partnerID=8YFLogxK

U2 - 10.1016/j.cnsns.2014.04.020

DO - 10.1016/j.cnsns.2014.04.020

M3 - Article

AN - SCOPUS:84905380487

VL - 20

SP - 316

EP - 323

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

SN - 1007-5704

IS - 1

ER -

ID: 86485949