Stability of amplitude chimeras in oscillator networks

@article{Tumash2016StabilityOA,
  title={Stability of amplitude chimeras in oscillator networks},
  author={Liudmila Tumash and A. S. Zakharova and Judith Lehnert and Wolfram Just and Eckehard Sch{\"o}ll},
  journal={Europhysics Letters},
  year={2016},
  volume={117}
}
We show that amplitude chimeras in ring networks of Stuart-Landau oscillators with symmetry-breaking nonlocal coupling represent saddle-states in the underlying phase space of the network. Chimera states are composed of coexisting spatial domains of coherent and of incoherent oscillations. We calculate the Floquet exponents and the corresponding eigenvectors in dependence upon the coupling strength and range, and discuss the implications for the phase-space structure. The existence of at least… 

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