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Volumn 75, Issue 5, 2007, Pages

Aging and clustering in globally coupled oscillators

Author keywords

[No Author keywords available]

Indexed keywords

AGING OF MATERIALS; PHASE DIAGRAMS;

EID: 34347220941     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.75.056206     Document Type: Article
Times cited : (86)

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    • Note that the splitting (desynchronizing) force depends on not only Kχ but also c2. Since the dispersion of the effective natural frequencies is proportional to c2 , increasing c2 will intensify the force and hence enhance the inhomogeneity of the system. This explains why the value of σ grows as c2 is increased, as seen in Fig. 7. Although the value of Kχ tends to decrease for increasing c2 (see the inset of Fig. 7), such a change is relatively small and hence does not affect the behavior of σ in a qualitative way.
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    • This may imply that the scaling law of an order parameter proposed in our earlier paper does not hold over a full range of the scaling variable, since it is based on the assumption that both the active and inactive groups are synchronized. However, the scaling law is about a close vicinity of the critical point, where the horn is quite thin, unless the nonisochronicity of oscillators is extremely strong. One can therefore expect that it practically holds even if a desynchronization horn exits. Of course, if the stably coexisting synchronized state is traced from outside the horn, then no violation of the scaling law will occur at all.
    • This may imply that the scaling law of an order parameter proposed in our earlier paper does not hold over a full range of the scaling variable, since it is based on the assumption that both the active and inactive groups are synchronized. However, the scaling law is about a close vicinity of the critical point, where the horn is quite thin, unless the nonisochronicity of oscillators is extremely strong. One can therefore expect that it practically holds even if a desynchronization horn exits. Of course, if the stably coexisting synchronized state is traced from outside the horn, then no violation of the scaling law will occur at all.
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