For larger precision (“double” instead of “ﬂoat”), there are more smaller and less larger avalanches, supporting the claim that the ﬂoating–point precision limits the degree of desynchronization.
The complex scaling behavior of non--conserved self--organized critical systems
Instead, the complex interplay of synchronization, desynchronization, limited ﬂoating-point precision, and a nontrivial size distribution of synchronized regions generates a broad and power-law like avalanche size distribution for parameter values typically used in simulations.
The complex scaling behavior of non--conserved self--organized critical systems
Our analysis shows that the oscillator phases are always desynchronized up to d = 4, which implies the lower critical dimension dP l = 4 for phase synchronization.
Collective synchronization in spatially extended systems of coupled oscillators with random frequencies
Accordingly, in the framework of the linear theory, there is neither phase synchronization-desynchronization transition nor complete phase synchronization (∆ = 1) at any ﬁnite coupling K in any dimension d.
Collective synchronization in spatially extended systems of coupled oscillators with random frequencies
The nature of the desynchronized phase may become different from what is expected from the linear theory, especially in the weak-coupling regime.
Collective synchronization in spatially extended systems of coupled oscillators with random frequencies
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