Novel transition and Bellerophon state in coupled Stuart–Landau oscillators

  title={Novel transition and Bellerophon state in coupled Stuart–Landau oscillators},
  author={Jiameng Zhang and Xue Li and Yong Zou and Shuguang Guan},
  journal={Frontiers of Physics},
We study synchronization in a system of Stuart-Landau oscillators with frequency-weighted coupling. For three typical unimodal frequency distributions, namely, the Lorentzian, the triangle, and the uniform, we found that the first-order transition occurs when the frequency distribution is relatively compact, while the synchronization transition is continuous when it is relatively wide. In both cases, there is a regime of Bellerophon state between the incoherent state and the synchronized state… 
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