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Coupled van der Pol-Duffing oscillators : Phase dynamics and structure of synchronization tongues. / Kuznetsov, A. P.; Stankevich, N. V.; Turukina, L. V.

In: Physica D: Nonlinear Phenomena, Vol. 238, No. 14, 01.07.2009, p. 1203-1215.

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

Harvard

Kuznetsov, AP, Stankevich, NV & Turukina, LV 2009, 'Coupled van der Pol-Duffing oscillators: Phase dynamics and structure of synchronization tongues', Physica D: Nonlinear Phenomena, vol. 238, no. 14, pp. 1203-1215. https://doi.org/10.1016/j.physd.2009.04.001

APA

Kuznetsov, A. P., Stankevich, N. V., & Turukina, L. V. (2009). Coupled van der Pol-Duffing oscillators: Phase dynamics and structure of synchronization tongues. Physica D: Nonlinear Phenomena, 238(14), 1203-1215. https://doi.org/10.1016/j.physd.2009.04.001

Vancouver

Kuznetsov AP, Stankevich NV, Turukina LV. Coupled van der Pol-Duffing oscillators: Phase dynamics and structure of synchronization tongues. Physica D: Nonlinear Phenomena. 2009 Jul 1;238(14):1203-1215. https://doi.org/10.1016/j.physd.2009.04.001

Author

Kuznetsov, A. P. ; Stankevich, N. V. ; Turukina, L. V. / Coupled van der Pol-Duffing oscillators : Phase dynamics and structure of synchronization tongues. In: Physica D: Nonlinear Phenomena. 2009 ; Vol. 238, No. 14. pp. 1203-1215.

BibTeX

@article{6996e8c7e3534e24979ffd7a459029b8,
title = "Coupled van der Pol-Duffing oscillators: Phase dynamics and structure of synchronization tongues",
abstract = "Synchronization in the system of coupled non-identical non-isochronous van der Pol-Duffing oscillators with inertial and dissipative coupling is discussed. Generalized Adler's equation is obtained and investigated in the presence of all relevant factors affecting the synchronization (non-isochronism of the oscillators, their non-identity, coupling of the dissipative and inertial types). Characteristic symmetries are revealed for the Adler's equation responsible for equivalence of some of the factors. Numerical study of the parameters space of the initial differential equations is carried out using the method of charts of dynamic regimes in the parameter planes. Results obtained by both these approaches are compared and discussed.",
keywords = "Adler's equation, Coupled van der Pol oscillators, Synchronization",
author = "Kuznetsov, {A. P.} and Stankevich, {N. V.} and Turukina, {L. V.}",
note = "Funding Information: We thank S.P. Kuznetsov and I.R. Sataev for help and discussions. This research was supported, in part, by the grant 2.1.1/1738 of Ministry of Education and Science of Russian Federation in a frame of program of Development of Scientific Potential of Higher Education. A.P.K. and L.V.T. acknowledge a partial support from the RFBR grant No 09-02-00426. N.V.S. acknowledges a partial support from the RFBR grant No 09-02-00707. ",
year = "2009",
month = jul,
day = "1",
doi = "10.1016/j.physd.2009.04.001",
language = "English",
volume = "238",
pages = "1203--1215",
journal = "Physica D: Nonlinear Phenomena",
issn = "0167-2789",
publisher = "Elsevier",
number = "14",

}

RIS

TY - JOUR

T1 - Coupled van der Pol-Duffing oscillators

T2 - Phase dynamics and structure of synchronization tongues

AU - Kuznetsov, A. P.

AU - Stankevich, N. V.

AU - Turukina, L. V.

N1 - Funding Information: We thank S.P. Kuznetsov and I.R. Sataev for help and discussions. This research was supported, in part, by the grant 2.1.1/1738 of Ministry of Education and Science of Russian Federation in a frame of program of Development of Scientific Potential of Higher Education. A.P.K. and L.V.T. acknowledge a partial support from the RFBR grant No 09-02-00426. N.V.S. acknowledges a partial support from the RFBR grant No 09-02-00707.

PY - 2009/7/1

Y1 - 2009/7/1

N2 - Synchronization in the system of coupled non-identical non-isochronous van der Pol-Duffing oscillators with inertial and dissipative coupling is discussed. Generalized Adler's equation is obtained and investigated in the presence of all relevant factors affecting the synchronization (non-isochronism of the oscillators, their non-identity, coupling of the dissipative and inertial types). Characteristic symmetries are revealed for the Adler's equation responsible for equivalence of some of the factors. Numerical study of the parameters space of the initial differential equations is carried out using the method of charts of dynamic regimes in the parameter planes. Results obtained by both these approaches are compared and discussed.

AB - Synchronization in the system of coupled non-identical non-isochronous van der Pol-Duffing oscillators with inertial and dissipative coupling is discussed. Generalized Adler's equation is obtained and investigated in the presence of all relevant factors affecting the synchronization (non-isochronism of the oscillators, their non-identity, coupling of the dissipative and inertial types). Characteristic symmetries are revealed for the Adler's equation responsible for equivalence of some of the factors. Numerical study of the parameters space of the initial differential equations is carried out using the method of charts of dynamic regimes in the parameter planes. Results obtained by both these approaches are compared and discussed.

KW - Adler's equation

KW - Coupled van der Pol oscillators

KW - Synchronization

UR - http://www.scopus.com/inward/record.url?scp=67349135286&partnerID=8YFLogxK

U2 - 10.1016/j.physd.2009.04.001

DO - 10.1016/j.physd.2009.04.001

M3 - Article

AN - SCOPUS:67349135286

VL - 238

SP - 1203

EP - 1215

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

SN - 0167-2789

IS - 14

ER -

ID: 86486538