Figure 2 | Scientific Reports

Figure 2

From: Dynamics of oscillators globally coupled via two mean fields

Figure 2

Synchronous states and their stability. Phase profiles (left panels) and their stability spectra (right panels) for the constructed synchronization states. Panels (a,b,e,f) show the case of attractive first coupling. The parameters here are \({{\rm{\Theta }}}_{1}=0\), \({{\rm{\Theta }}}_{2}=-\,0.9\pi \), and \(\lambda =0.45\), with (a): \(R=0.295\) and the locking parameter \({P}_{l}=0.61\) (normal branch); and (b): \(R=0.02\) and \({P}_{l}=1\) (anomalous branch). (e,f): correspondent stability spectra of these states. Vertical line shows the imaginary axis, for better identification of instability. Panels (c,d,g,h) show the case of attractive first coupling with parameters \({{\rm{\Theta }}}_{1}=0\), \({{\rm{\Theta }}}_{2}=-\,0.9\pi \) and \(\lambda =0.2\), with (c): \(R=0.028\) and \({P}_{l}=0\) (normal branch); and (d) \(R=0.07\) and \({P}_{l}=0.45\) (anomalous branch).

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