Forced van der Pol Oscillator—Synchronization from the Bifurcation Theory Point of View
| Authors | |
|---|---|
| Year of publication | 2022 |
| Type | Article in Proceedings |
| Conference | The 14th CHAOS 2021 International Conference |
| MU Faculty or unit | |
| 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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