Standard

Dynamics of coupled generators of quasiperiodic oscillations : Different types of synchronization and other phenomena. / Kuznetsov, A. P.; Kuznetsov, S. P.; Shchegoleva, N. A.; Stankevich, N. V.

в: Physica D: Nonlinear Phenomena, Том 398, 11.2019, стр. 1-12.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Kuznetsov, AP, Kuznetsov, SP, Shchegoleva, NA & Stankevich, NV 2019, 'Dynamics of coupled generators of quasiperiodic oscillations: Different types of synchronization and other phenomena', Physica D: Nonlinear Phenomena, Том. 398, стр. 1-12. https://doi.org/10.1016/j.physd.2019.05.014

APA

Kuznetsov, A. P., Kuznetsov, S. P., Shchegoleva, N. A., & Stankevich, N. V. (2019). Dynamics of coupled generators of quasiperiodic oscillations: Different types of synchronization and other phenomena. Physica D: Nonlinear Phenomena, 398, 1-12. https://doi.org/10.1016/j.physd.2019.05.014

Vancouver

Kuznetsov AP, Kuznetsov SP, Shchegoleva NA, Stankevich NV. Dynamics of coupled generators of quasiperiodic oscillations: Different types of synchronization and other phenomena. Physica D: Nonlinear Phenomena. 2019 Нояб.;398:1-12. https://doi.org/10.1016/j.physd.2019.05.014

Author

Kuznetsov, A. P. ; Kuznetsov, S. P. ; Shchegoleva, N. A. ; Stankevich, N. V. / Dynamics of coupled generators of quasiperiodic oscillations : Different types of synchronization and other phenomena. в: Physica D: Nonlinear Phenomena. 2019 ; Том 398. стр. 1-12.

BibTeX

@article{137ac1f9bd3347baa4cf21eb9d7df484,
title = "Dynamics of coupled generators of quasiperiodic oscillations: Different types of synchronization and other phenomena",
abstract = "A problem of synchronization of quasiperiodic oscillations is discussed in application to an example of coupled systems with autonomous quasiperiodic dynamics. Charts of Lyapunov exponents are presented that reveal characteristic domains on the parameter plane such as oscillator death, complete synchronization, phase synchronization of quasiperiodic oscillations, broadband synchronization, broadband quasiperiodicity. Features of each kind of dynamical behavior are discussed. Analysis of corresponding bifurcations is presented, including quasiperiodic Hopf bifurcations, saddle–node bifurcations of invariant tori of different dimensions, and bifurcations of torus doublings. Both the case of dominance of quasiperiodic oscillations in one of the generators and the case of pronounced periodic resonances embedded in the region of quasiperiodicity are considered.",
keywords = "Coupled generators, Quasiperiodic oscillations, Synchronization",
author = "Kuznetsov, {A. P.} and Kuznetsov, {S. P.} and Shchegoleva, {N. A.} and Stankevich, {N. V.}",
note = "Publisher Copyright: {\textcopyright} 2019 Elsevier B.V.",
year = "2019",
month = nov,
doi = "10.1016/j.physd.2019.05.014",
language = "English",
volume = "398",
pages = "1--12",
journal = "Physica D: Nonlinear Phenomena",
issn = "0167-2789",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Dynamics of coupled generators of quasiperiodic oscillations

T2 - Different types of synchronization and other phenomena

AU - Kuznetsov, A. P.

AU - Kuznetsov, S. P.

AU - Shchegoleva, N. A.

AU - Stankevich, N. V.

N1 - Publisher Copyright: © 2019 Elsevier B.V.

PY - 2019/11

Y1 - 2019/11

N2 - A problem of synchronization of quasiperiodic oscillations is discussed in application to an example of coupled systems with autonomous quasiperiodic dynamics. Charts of Lyapunov exponents are presented that reveal characteristic domains on the parameter plane such as oscillator death, complete synchronization, phase synchronization of quasiperiodic oscillations, broadband synchronization, broadband quasiperiodicity. Features of each kind of dynamical behavior are discussed. Analysis of corresponding bifurcations is presented, including quasiperiodic Hopf bifurcations, saddle–node bifurcations of invariant tori of different dimensions, and bifurcations of torus doublings. Both the case of dominance of quasiperiodic oscillations in one of the generators and the case of pronounced periodic resonances embedded in the region of quasiperiodicity are considered.

AB - A problem of synchronization of quasiperiodic oscillations is discussed in application to an example of coupled systems with autonomous quasiperiodic dynamics. Charts of Lyapunov exponents are presented that reveal characteristic domains on the parameter plane such as oscillator death, complete synchronization, phase synchronization of quasiperiodic oscillations, broadband synchronization, broadband quasiperiodicity. Features of each kind of dynamical behavior are discussed. Analysis of corresponding bifurcations is presented, including quasiperiodic Hopf bifurcations, saddle–node bifurcations of invariant tori of different dimensions, and bifurcations of torus doublings. Both the case of dominance of quasiperiodic oscillations in one of the generators and the case of pronounced periodic resonances embedded in the region of quasiperiodicity are considered.

KW - Coupled generators

KW - Quasiperiodic oscillations

KW - Synchronization

UR - http://www.scopus.com/inward/record.url?scp=85067190822&partnerID=8YFLogxK

U2 - 10.1016/j.physd.2019.05.014

DO - 10.1016/j.physd.2019.05.014

M3 - Article

AN - SCOPUS:85067190822

VL - 398

SP - 1

EP - 12

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

SN - 0167-2789

ER -

ID: 86484630