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Phase synchronization between collective rhythms of globally coupled oscillator groups: Noiseless nonidentical case
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10.1063/1.3491346
/content/aip/journal/chaos/20/4/10.1063/1.3491346
http://aip.metastore.ingenta.com/content/aip/journal/chaos/20/4/10.1063/1.3491346
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Time evolution of collective phase difference . (a) Effective antiphase collective synchronization with microscopic in-phase external coupling, . (b) Effective in-phase collective synchronization with microscopic antiphase external coupling, . The other parameters are , , , , and . The number of oscillators in each group is .

Image of FIG. 2.
FIG. 2.

Snapshots of the asymptotic states of the oscillators in Fig. 1. The oscillators in each group are sorted in increasing order of their natural frequencies. Only one in every two oscillators is plotted. Open circles (○) and plus signs indicate oscillator in group (1) and in group (2), respectively. The collective frequency of each group is , which differs from the central frequency . (a) Effective antiphase coupling with microscopic in-phase coupling, . (b) Effective in-phase coupling with microscopic antiphase coupling, .

Image of FIG. 3.
FIG. 3.

A diagram showing whether the collective phase coupling function between the groups is in-phase or antiphase on the plane for , , and . The solid curves are theoretically determined from Eq. (24), i.e., by . The filled circle (●) indicates corresponding to Figs. 1(a) and 2(a), and the cross (×) indicates and corresponding to Figs. 1(b) and 2(b).

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/content/aip/journal/chaos/20/4/10.1063/1.3491346
2010-11-10
2014-04-17
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Phase synchronization between collective rhythms of globally coupled oscillator groups: Noiseless nonidentical case
http://aip.metastore.ingenta.com/content/aip/journal/chaos/20/4/10.1063/1.3491346
10.1063/1.3491346
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