Lower Critical Dimension for Populations of Oscillators with Randomly Distributed Frequencies: A Renormalization-Group Analysis
1988; American Physical Society; Volume: 61; Issue: 2 Linguagem: Inglês
10.1103/physrevlett.61.231
ISSN1092-0145
Autores Tópico(s)Quantum chaos and dynamical systems
ResumoIt is argued by way of a renormalization-group analysis that the lower critical dimension of macroscopic mutual entrainment in a class of populations of oscillators satisfies a certain inequality which is sensitive to the tail of the distribution of native frequencies. This result is supported in part by numerical simulations as well as a proof of the absence of long-range order in one dimension.
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