PHASE MODEL REDUCTION AND SYNCHRONIZATION OF PERIODICALLY FORCED NONLINEAR OSCILLATORS

被引：4

作者：

Bonnin, Michele ^{[1
]}

Corinto, Fernando ^{[1
]}

Gilli, Marco ^{[1
]}

机构：

[1] Politecn Torino, Dept Elect, I-10129 Turin, Italy

来源：

JOURNAL OF CIRCUITS SYSTEMS AND COMPUTERS | 2010年 / 19卷 / 04期

关键词：

Phase model; synchronization; averaging technique; nonlinear oscillators; KURAMOTO MODEL; CHAINS; POPULATIONS; BEHAVIOR; ARRAYS;

D O I：

10.1142/S0218126610006414

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

Phase models represent the ideal framework to investigate the synchronization of a nonlinear oscillator with an external forcing. While many researches focused the attention to their analysis, little work has been done about the reduction of a physical system to the corresponding phase model. In this paper we show how, resorting to averaging techniques, it is possible to obtain the phase model corresponding to a given set of state equations. As examples, we derive the phase equations and investigate the synchronization properties of two popular nonlinear oscillators.

引用

页码：749 / 762

页数：14

共 32 条

[1] The Kuramoto model:: A simple paradigm for synchronization phenomena [J].