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Metastable chimera states in community-structured oscillator networks
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View: Figures


Image of FIG. 1.
FIG. 1.

The behavior of the model for randomly generated values of between 0 and over 500 trials. Initial phases were randomized for each trial. Both metastability index and chimera index are close to zero for , peak at around , and tail off rapidly.

Image of FIG. 2.
FIG. 2.

Global synchrony and coalition entropy for the set of trials depicted in Fig. 1. Coalition entropy presents a similar profile to metastability and chimera index (Fig. 1), although it peaks slightly later at around .

Image of FIG. 3.
FIG. 3.

A 200 time-step period in a typical run with . (a) Intracommunity synchrony: the system exhibits several clear chimera-like states. From time 250 to 270, for example, three communities are highly synchronized and three are desynchronized. (b) Intercommunity synchrony: pairwise synchrony is plotted between one selected community (shown in black) and each of the eight communities (including itself). From time 310 to 330 the selected community is synchronized with several others, forming a temporary coalition.

Image of FIG. 4.
FIG. 4.

The distribution of for each community in the run depicted in Fig. 3. The distributions all have variances far from zero, indicating metastability in the sense that the oscillator communities spend time in all stages of synchronization.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Metastable chimera states in community-structured oscillator networks