Dynamics of phase oscillators with generalized frequency-weighted coupling.

  title={Dynamics of phase oscillators with generalized frequency-weighted coupling.},
  author={Can Xu and Jian Gao and Hairong Xiang and Wenjing Jia and Shuguang Guan and Zhigang Zheng},
  journal={Physical review. E},
  volume={94 6-1},
Heterogeneous coupling patterns among interacting elements are ubiquitous in real systems ranging from physics, chemistry to biology communities, which have attracted much attention during recent years. In this paper, we extend the Kuramoto model by considering a particular heterogeneous coupling scheme in an ensemble of phase oscillators, where each oscillator pair interacts with different coupling strength that is weighted by a general function of the natural frequency. The Kuramoto theory… Expand

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