Synchronization of forced reactively coupled van der Pol oscilators

TL;DR

This paper investigates how forced reactively coupled van der Pol oscillators synchronize, exploring bifurcation mechanisms, quasi-periodic regimes, and frequency locking phenomena in the phase approximation.

Contribution

It provides new insights into the bifurcation mechanisms and regimes of synchronization and beating in reactively coupled van der Pol oscillators.

Findings

Bifurcation mechanisms for synchronization destruction are identified.

Different regimes of frequency locking and beating are characterized.

Quasi-periodic regimes with incommensurate frequencies are analyzed.

Abstract

Synchronization of forced reactively coupled van der Pol oscillators is investigated in the phase approximation. We discuss essential features of the reactive coupling. Bifurcation mechanisms for the destruction of complete synchronization and possible quasi-periodic regimes of different types are revealed. Regimes when autonomous oscillators demonstrate frequency locking and beating regimes with incommensurate frequencies are considered and compared.