Averaging method analysis of synchronization characteristics of a large number of nonlinearly coupled van der pol oscillators

被引：0
|
作者：
Shimizu, Kuniyasu [1 ]
Endo, Tetsuro
Tanaka, Hisa-Aki
机构：
[1] Meiji Univ, Dept Elect & Commun, Kawasaki, Kanagawa 2148571, Japan
[2] Univ Electro Commun UEC, Dept Elect Engn, Chofu, Tokyo 1828585, Japan
来源：
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES | 2007年 / E90A卷 / 10期
关键词：
synchronization; coupled oscillator system; averaging method; nonlinear coupling; slime amoeba;
D O I：
10.1093/ietfec/e90-a.10.2162
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
The averaged equation for an arbitrary number of oscillators coupled by nonlinear coupling scheme invented by S. Nagano, is derived. This system is invented as a model of uni-cellular slime amoeba. By using the averaged equation, we investigate the synchronization characteristics of five coupled oscillators and a large number of coupled oscillators. In particular, we present the statistical property of coupled oscillators in terms of coupling factor gamma. We also investigate the effect of linear and nonlinear coupling terms for achieving synchronization, and confirm that the nonlinear coupling term plays an important role for strong synchronization than linear coupling term does.
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页码：2162 / 2169
页数：8
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