Publication details

Forced van der Pol oscillator - synchronization from the bifurcation theory point of view



Year of publication 2021
Type Appeared in Conference without Proceedings
MU Faculty or unit

Faculty of Science

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 m-fold bifurcation on an Arnold's tongue.
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