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In the present experiments, the bacteria start in a synchronized state and stay approximately synchronized due to slow dephasing (this interpretation is given in the subsection "Transfer of in vitro prototyped 3- and 5-node oscillators to E. coli").
However, coupling among oscillators is not, in general, sufficient to achieve synchronization, and many ensembles of coupled oscillators exhibit phase dispersion rather than a synchronized state either because the oscillators actively resist synchronizing [18] or because coupling is too weak or even nonexistent [19].
In general, coupling among oscillators is not sufficient to achieve synchronization, and many ensembles of coupled oscillators exhibit phase dispersion rather than a synchronized state, because the oscillators may actively resist oscillation or because the coupling is too small.
Both studies showed that, a spike-like oscillator reached a synchronized state much more rapidly than a sinusoidal oscillator.
During quiet wakefulness or slow-wave sleep, cortical networks remain in a synchronized state that consists of slow, large-amplitude oscillations in neuronal population activity (Cowan and Wilson, 1994; Steriade et al., 1993c).
Consequently, the stimulated neuronal population is shifted from a synchronized state with strong synaptic connectivity to a desynchronized state with weak connectivity [Tass and Hauptmann, 2009; Tass and Majtanik, 2006]: The network undergoes an anti-kindling, that is, it unlearns pathological connectivity and pathological synchrony.
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The experiments were performed under a predominant frequency of cortical electroencephalograph of 3 4Hz (Fig. 1B, bottom), which represents a less synchronized state as compared to the deeper anesthesia levels characterized by rhythmic bursts at lower frequencies (Fig. 1B, top).
The agents in the buffered region are also synchronized and they share this synchronized state to the neighboring process whenever required (possibly as a proximity of an agent).
For a high coupling value,, synchronization is reached quickly, but convergence to a synchronized stable state is not always achieved.
While results about zero lag time difference between synchronized state shifts, i.e., isochronal synchronization [24, 25] are also obtained between time-delayed systems.
(2.3) Obviously, the synchronized state (s(t)) is uniform.
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