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.
引用
收藏
页码：2162 / 2169
页数：8
相关论文
共 50 条
  • [31] Adaptive control and synchronization of chaotic systems consisting of Van der Pol oscillators coupled to linear oscillators
    Fotsin, H
    Bowong, S
    CHAOS SOLITONS & FRACTALS, 2006, 27 (03) : 822 - 835
  • [32] Phase synchronization and synchronization frequency of two-coupled van der Pol oscillators with delayed coupling
    Hossein Gholizade-Narm
    Asad Azemi
    Morteza Khademi
    Chinese Physics B, 2013, 22 (07) : 83 - 87
  • [33] Phase synchronization and synchronization frequency of two-coupled van der Pol oscillators with delayed coupling
    Gholizade-Narm, Hossein
    Azemi, Asad
    Khademi, Morteza
    CHINESE PHYSICS B, 2013, 22 (07)
  • [34] Analysis of Synchronization Phenomena in Complex Networks Consisting of van der Pol Oscillators
    Isozaki, Tsuyoshi
    Nara, Takumi
    Uwate, Yoko
    Nishio, Yoshifumi
    2020 17TH INTERNATIONAL SOC DESIGN CONFERENCE (ISOCC 2020), 2020, : 187 - 188
  • [35] An Experimental Investigation of Coupled van der Pol Oscillators
    Choubey, Bhaskar
    JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME, 2010, 132 (03): : 0310131 - 0310138
  • [36] Synchronization of the Extended Bonhoffer-Van der Pol Oscillators
    Zribi, Mohamed
    Alshamali, Saleh
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2012, 2012
  • [37] THE INCREMENTAL HARMONIC BALANCE METHOD APPLIED TO COUPLED VAN DER POL OSCILLATORS
    Zhang, Wei
    Hu, Hailiang
    Qian, Youhua
    PROCEEDINGS OF THE ASME INTERNATIONAL MECHANICAL ENGINEERING CONGRESS AND EXPOSITION 2010, VOL 13, 2012, : 329 - 333
  • [38] Implementation of the Parameter-expansion Method for the Coupled Van der Pol Oscillators
    Sweilam, N. H.
    Al-Bar, R. F.
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2009, 10 (02) : 259 - 264
  • [39] Bistable phase synchronization and chaos in a system of coupled van der Pol-Duffing oscillators
    Kozlov, AK
    Sushchik, MM
    Molkov, YI
    Kuznetsov, AS
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1999, 9 (12): : 2271 - 2277
  • [40] Coupled van der Pol-Duffing oscillators: Phase dynamics and structure of synchronization tongues
    Kuznetsov, A. P.
    Stankevich, N. V.
    Turukina, L. V.
    PHYSICA D-NONLINEAR PHENOMENA, 2009, 238 (14) : 1203 - 1215
12345