Synchronization and chimera states of frequency-weighted Kuramoto-oscillator networks

This paper is an initial exploration of synchronizing a frequency-weighted network of Kuramoto oscillators, where the oscillators are asymmetrically coupled with the weights depending on their corresponding native frequencies. We find that with different categories of weighted couplings influenced by the native frequency distribution of the oscillators, one observes synchronous, asynchronous, and oscillatory phenomena, and the so-called chimera states, where the weighting exponent beta plays an important role.