Cluster synchronization in networked nonidentical chaotic oscillators under external periodic driving

Abstract We investigate the influence of external periodic driving on synchronization behaviors in networked nonidentical chaotic oscillators. The study reveals that by changing the amplitude and frequency of the external driving, the synchronizability of a network can be significantly improved. This finding is demonstrated through different models in networks of coupled oscillators, and its mechanism is analyzed by the method of symmetry-based stability analysis. This work highlights the significance of external perturbations on the collective synchronization behaviors of complex networks, providing an effective approach for controlling network cluster synchronization.