Theory of self-synchronization in the presence of native frequency distribution and external noises
type: Item
instance of: scholarly article
title: Theory of self-synchronization in the presence of native frequency distribution and external noises
zbMATH Open document ID: 0582.92006
DOI: 10.1016/0167-2789(84)90444-5
author: B. George
published in: Physica D
publication date: 1984-01-01T00:00:00Z
review text: A general scheme is presented for the theoretical treatment of self- synchronization of many-body oscillators with variable amplitudes, close to harmonic ones with small nonlinearity and dissipative interactions, in the presence of external noises and a native frequency distribution. Applications of the theory are given to interacting van der Pol oscillators with various frequency distributions. The critical condition which leads to a nonvanishing order parameter is studied in detail. It turns out that the synchronization is described in terms of two kinds of bifurcation mechanism, mechanical and thermal ones.
Mathematics Subject Classification ID: 92C05
Mathematics Subject Classification ID: 92F05
zbMATH DE Number: 3932835
zbMATH Keywords: self-synchronization of many-body oscillators
zbMATH Keywords: small nonlinearity
zbMATH Keywords: dissipative interactions
zbMATH Keywords: external noises
zbMATH Keywords: native frequency distribution
zbMATH Keywords: interacting van der Pol oscillators
zbMATH Keywords: bifurcation mechanism
MaRDI profile type: Publication
full work available at URL: 0167-2789(84)90444-5
OpenAlex ID: W2068752868
cites work: Q4102159
cites work: Large Populations of Coupled Chemical Oscillators
cites work: Q3893028
cites work: Q4887286
description: scientific article; zbMATH DE number 3932835