Synchronization phenomena in van der Pol oscillators coupled by a time-varying resistor

被引:11
|
作者
Uwate, Yoko [1 ]
Nishio, Yoshifumi [1 ]
机构
[1] Univ Tokushima, Dept Elect & Elect Engn, Tokushima 770, Japan
来源
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2007年 / 17卷 / 10期
关键词
coupled oscillators; synchronization; time-varying resistor;
D O I
10.1142/S0218127407019378
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this study, synchronization phenomena observed in van der Pol oscillators coupled by a time-varying resistor are investigated. We realize the time-varying resistor by switching a positive and a negative resistor periodically. By carrying out circuit experiments and computer calculations, interesting synchronization phenomena can be confirmed to be generated in this system. Namely, the synchronization states change according to the switching frequency of the time-varying resistor.
引用
收藏
页码:3565 / 3569
页数:5
相关论文
共 50 条
  • [1] COMPLEX PATTERN IN A RING OF VAN DER POL OSCILLATORS COUPLED BY TIME-VARYING RESISTORS
    Uwate, Yoko
    Nishio, Yoshifumi
    Stoop, Ruedi
    JOURNAL OF CIRCUITS SYSTEMS AND COMPUTERS, 2010, 19 (04) : 819 - 834
  • [2] Noise-Induced Breakdown of Stochastic Resonant Behavior of van der Pol Oscillators Coupled by Time-Varying Resistor
    Uwate, Yoko
    Nishio, Yoshifumi
    Stoop, Ruedi
    ISCAS: 2009 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOLS 1-5, 2009, : 1887 - +
  • [3] Modal synchronization of coupled bistable van der Pol oscillators
    Shiroky, I. B.
    Gendelman, O., V
    CHAOS SOLITONS & FRACTALS, 2021, 143
  • [4] Synchronization of four coupled van der Pol oscillators
    Miguel A. Barrón
    Mihir Sen
    Nonlinear Dynamics, 2009, 56
  • [5] Boundedness for network of stochastic coupled van der Pol oscillators with time-varying delayed coupling
    Zhang, Chunmei
    Li, Wenxue
    Wang, Ke
    APPLIED MATHEMATICAL MODELLING, 2013, 37 (07) : 5394 - 5402
  • [6] Synchronization of four coupled van der Pol oscillators
    Barron, Miguel A.
    Sen, Mihir
    NONLINEAR DYNAMICS, 2009, 56 (04) : 357 - 367
  • [7] SYNCHRONIZATION PHENOMENA IN OSCILLATORS COUPLED BY ONE RESISTOR
    MORO, S
    NISHIO, Y
    MORI, S
    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 1995, E78A (02) : 244 - 253
  • [8] Rhythm synchronization and chaotic modulation of coupled Van der Pol oscillators in a model for the heartbeat
    dos Santos, AM
    Lopes, SR
    Viana, RL
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2004, 338 (3-4) : 335 - 355
  • [9] Impact of coupling on the road to synchronization of two coupled Van der Pol oscillators
    Savostianov, Anton
    Shapoval, Alexander
    Shnirman, Mikhail
    PHYSICA D-NONLINEAR PHENOMENA, 2024, 463
  • [10] On Optimal Synchronization of Diffusively Coupled Heterogeneous Van der Pol OscillatorsOn Optimal Synchronization of Diffusively Coupled Heterogeneous Pol Oscillators
    Trummel, Tabea
    Liu, Zonglin
    Stursberg, Olaf
    IFAC PAPERSONLINE, 2023, 56 (02): : 9475 - 9480