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Clustering behaviors in networks of integrate-and-fire oscillators
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10.1063/1.2967806
/content/aip/journal/chaos/18/3/10.1063/1.2967806
http://aip.metastore.ingenta.com/content/aip/journal/chaos/18/3/10.1063/1.2967806

Figures

Image of FIG. 1.
FIG. 1.

The graph of the function corresponds to the linear IF model with , , and . The function is concave-down for and concave-up for .

Image of FIG. 2.
FIG. 2.

(a) A fires; (b) B about to fire; (c) B fires.

Image of FIG. 3.
FIG. 3.

“Snapshot” clustering behavior at a given time in a population of linear IF oscillators [ ]. Each dot represents the phase of one oscillator.

Image of FIG. 4.
FIG. 4.

Fraction of traveling oscillators in a population of linear IF oscillators as a function of the coherence parameter . The fraction is 2% over the range .

Image of FIG. 5.
FIG. 5.

Total clustering in a population of linear IF oscillator for strong coherence . Each dot represents the value of every firings. The single dot per oscillator indicates a phase-locked configuration (transient behavior is not shown).

Image of FIG. 6.
FIG. 6.

Partial clustering in a population of linear IF oscillators for intermediate coherence . Dots have the same meaning as in Fig. 5 . Oscillators 17 and 91 are traveling while the 98 remaining oscillators are nearly phase-locked.

Image of FIG. 7.
FIG. 7.

Weak clustering in a population of linear IF oscillators for small coherence . Dots have the same meaning as in Fig. 5 . About half of the oscillators are traveling and the level of clustering becomes weak.

Tables

Generic image for table
Table I.

Firing period and values and for various values of the coherence parameter with , , , , , . In the current case, the number of clusters .

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/content/aip/journal/chaos/18/3/10.1063/1.2967806
2008-09-22
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Clustering behaviors in networks of integrate-and-fire oscillators
http://aip.metastore.ingenta.com/content/aip/journal/chaos/18/3/10.1063/1.2967806
10.1063/1.2967806
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