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Phase synchronization between collective rhythms of globally coupled oscillator groups: Noisy identical case
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10.1063/1.3491344
/content/aip/journal/chaos/20/4/10.1063/1.3491344
http://aip.metastore.ingenta.com/content/aip/journal/chaos/20/4/10.1063/1.3491344
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 . In numerical simulations, the number of oscillator in each group is .

Image of FIG. 2.
FIG. 2.

Snapshots of the asymptotic states of the individual oscillators in Fig. 1. Only one in every five oscillators is plotted. Open circle (○) and plus respectively indicate oscillator of group (1) and that of group (2). (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) Distribution function . (b) Right zero eigenfunction . (c) Left zero eigenfunction . (d) Kernel function . Parameters are and , where order parameter amplitude is . gives , whereas gives .

Image of FIG. 4.
FIG. 4.

Effective type of phase coupling between collective oscillations with , , and , which is numerically evaluated by Eq. (24). (a) Dependence of on and . (b) The solid curves are determined by . The filled circle (●) indicates corresponding to Figs. 1(a) and 2(a). The cross (×) indicates and corresponding to Figs. 1(b) and 2(b).

Image of FIG. 5.
FIG. 5.

Effective type of phase coupling between collective oscillations in and with , which is analytically given by Eq. (42), i.e., . (a) Dependence of on and . (b) The solid curves are determined by .

Image of FIG. 6.
FIG. 6.

Effective type of phase coupling between collective oscillations in and with . (a) Dependence of on and . (b) The solid curves are determined by .

Image of FIG. 7.
FIG. 7.

Phase diagram in and with (a) , (b) , (c) , (d) , (e) , (f) , (g) , and (h) .

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/content/aip/journal/chaos/20/4/10.1063/1.3491344
2010-11-10
2014-04-16
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Phase synchronization between collective rhythms of globally coupled oscillator groups: Noisy identical case
http://aip.metastore.ingenta.com/content/aip/journal/chaos/20/4/10.1063/1.3491344
10.1063/1.3491344
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