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@inproceedings{1874691,
author = {Ševčík, Jan and Přibylová, Lenka},
address = {Cham},
booktitle = {The 14th CHAOS 2021 International Conference},
doi = {http://dx.doi.org/10.1007/978-3-030-96964-6_29},
editor = {Skiadas, C.H., Dimotikalis, Y.},
keywords = {Synchronization; Van der Pol oscillator; Bifurcations of limit cycles; Neimark–Sacker bifurcation; q-fold bifurcation; Arnold tongues},
howpublished = {tištěná verze "print"},
language = {eng},
location = {Cham},
isbn = {978-3-030-96963-9},
pages = {411-420},
publisher = {Springer},
title = {Forced van der Pol Oscillator—Synchronization from the Bifurcation Theory Point of View},
url = {https://link.springer.com/chapter/10.1007/978-3-030-96964-6_29},
year = {2022}
}
TY - JOUR
ID - 1874691
AU - Ševčík, Jan - Přibylová, Lenka
PY - 2022
TI - Forced van der Pol Oscillator—Synchronization from the Bifurcation Theory Point of View
PB - Springer
CY - Cham
SN - 9783030969639
KW - Synchronization
KW - Van der Pol oscillator
KW - Bifurcations of limit cycles
KW - Neimark–Sacker bifurcation
KW - q-fold bifurcation
KW - Arnold tongues
UR - https://link.springer.com/chapter/10.1007/978-3-030-96964-6_29
N2 - The contribution presents a bifurcation theory point of view to synchronization of a forced van der Pol oscillator, which is coupled to a master oscillator as a system with a stable limit cycle corresponding to harmonic oscillation. We present bifurcation manifolds, 3D sections of the phase space and its Poincaré sections for parameters close to these manifolds providing a clear visualization of the dynamics of the 4D system. Among other things, we present the coexistence of a stable torus and a stable cycle arising from q-fold bifurcation on an Arnold tongue.
ER -
ŠEVČÍK, Jan a Lenka PŘIBYLOVÁ. Forced van der Pol Oscillator—Synchronization from the Bifurcation Theory Point of View. In Skiadas, C.H., Dimotikalis, Y. \textit{The 14th CHAOS 2021 International Conference}. Cham: Springer, 2022, s.~411-420. ISBN~978-3-030-96963-9. Dostupné z: https://dx.doi.org/10.1007/978-3-030-96964-6\_{}29.
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