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@proceedings{1775483,
author = {Ševčík, Jan and Přibylová, Lenka},
booktitle = {The 14th CHAOS 2021 International Conference},
keywords = {van der Pol oscillator; bistability; Hopf-Hopf bifurcation; Arnold tongues},
language = {eng},
title = {Forced van der Pol oscillator - synchronization from the bifurcation theory point of view},
url = {http://www.cmsim.org/chaos2021.html},
year = {2021}
}
TY - CONF
ID - 1775483
AU - Ševčík, Jan - Přibylová, Lenka
PY - 2021
TI - Forced van der Pol oscillator - synchronization from the bifurcation theory point of view
KW - van der Pol oscillator
KW - bistability
KW - Hopf-Hopf bifurcation
KW - Arnold tongues
UR - http://www.cmsim.org/chaos2021.html
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 m-fold bifurcation on an Arnold's tongue.
ER -
ŠEVČÍK, Jan a Lenka PŘIBYLOVÁ. Forced van der Pol oscillator - synchronization from the bifurcation theory point of view. In \textit{The 14th CHAOS 2021 International Conference}. 2021.
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