Publication details

Forced van der Pol Oscillator—Synchronization from the Bifurcation Theory Point of View

Authors

ŠEVČÍK Jan PŘIBYLOVÁ Lenka

Year of publication 2022
Type Article in Proceedings
Conference The 14th CHAOS 2021 International Conference
MU Faculty or unit

Faculty of Science

Citation
Web https://link.springer.com/chapter/10.1007/978-3-030-96964-6_29
Doi http://dx.doi.org/10.1007/978-3-030-96964-6_29
Keywords Synchronization; Van der Pol oscillator; Bifurcations of limit cycles; Neimark–Sacker bifurcation; q-fold bifurcation; Arnold tongues
Description 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.
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