Therefore the nature of the desynchronized phase may be characterized not by continuous surface landscape expected from the linear theory but possibly by ruptured and splitted surface landscape, which will be discussed later.
Collective synchronization in spatially extended systems of coupled oscillators with random frequencies
For large G(K ), the linear theory collapses again, which may give rise to the desynchronized phase of discontinuous surface character.
Collective synchronization in spatially extended systems of coupled oscillators with random frequencies
In particular, it would be most interesting to probe the possibility of emergence of the desynchronized phase at ﬁnite coupling strength (K 6= 0) in higher dimensions (d ≥ 5) and the nature of the synchronization-desynchronization transition.
Collective synchronization in spatially extended systems of coupled oscillators with random frequencies
In addition, it would also be of interest to understand the nature of the desynchronized phase in lower dimensions (d ≤ 4) and possibly a rupturing-type phase transition.
Collective synchronization in spatially extended systems of coupled oscillators with random frequencies
The oscillator phases in this regime are desynchronized (∆ = 0) as L → ∞, but they are correlated.
Collective synchronization in spatially extended systems of coupled oscillators with random frequencies
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