Phase synchronization and synchronization frequency of two-coupled van der Pol oscillators with delayed coupling

被引：0
|
作者：
Hossein Gholizade-Narm [1 ]
Asad Azemi [2 ]
Morteza Khademi [3 ]
机构：
[1] Faculty of Electrical,Electronic & Robotic Engineering,Shahrood University Technology
[2] College of Engineering,Penn State University
[3] Faculty of Engineering,Ferdowsi University of Mashhad
来源：
Chinese Physics B | 2013年 / 07期
关键词：
van der Pol oscillator; delay coupling; phase synchronization; synchronization frequency;
D O I：
暂无
中图分类号：
TN752 [振荡器];
学科分类号：
摘要：
In this paper, phase synchronization and the frequency of two synchronized van der Pol oscillators with delay coupling are studied. The dynamics of such a system are obtained using the describing function method, and the necessary conditions for phase synchronization are also achieved. Finding the vicinity of the synchronization frequency is the major advantage of the describing function method over other traditional methods. The equations obtained based on this method justify the phenomenon of the synchronization of coupled oscillators on a frequency either higher, between, or lower than the highest, in between, or lowest natural frequency of the aggregate oscillators. Several numerical examples simulate the different cases versus the various synchronization frequency delays.
引用
收藏
页码：83 / 87
页数：5
相关论文
共 50 条
  • [1] 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)
  • [2] 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
  • [3] Synchronization of two memristively coupled van der Pol oscillators
    Ignatov, M.
    Hansen, M.
    Ziegler, M.
    Kohlstedt, H.
    APPLIED PHYSICS LETTERS, 2016, 108 (08)
  • [4] Experimental Synchronization of Two Van der Pol Oscillators with Nonlinear and Delayed Unidirectional Coupling
    Siewe, Raoul Thepi
    Talla, Alain Francis
    Woafo, Paul
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2017, 18 (06) : 515 - 523
  • [5] Synchronization of four coupled van der Pol oscillators
    Miguel A. Barrón
    Mihir Sen
    Nonlinear Dynamics, 2009, 56
  • [6] Synchronization of four coupled van der Pol oscillators
    Barron, Miguel A.
    Sen, Mihir
    NONLINEAR DYNAMICS, 2009, 56 (04) : 357 - 367
  • [7] Quantum synchronization of two Van der Pol oscillators
    Walter, Stefan
    Nunnenkamp, Andreas
    Bruder, Christoph
    ANNALEN DER PHYSIK, 2015, 527 (1-2) : 131 - 138
  • [8] A Bifurcation Approach to the Synchronization of Coupled Van der Pol Oscillators
    Paccosi, Ruben Gustavo
    Figliola, Alejandra
    Galan-Vioque, Jorge
    SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 2014, 13 (03): : 1152 - 1167
  • [9] Modal synchronization of coupled bistable van der Pol oscillators
    Shiroky, I. B.
    Gendelman, O., V
    CHAOS SOLITONS & FRACTALS, 2021, 143
  • [10] Synchronization Phenomena in Star-Coupled van der Pol Oscillators by Adding Different Frequency Oscillators
    Minh Hai Tran
    Oi, Kosuke
    Uwate, Yoko
    Nishio, Yoshifumi
    2016 IEEE ASIA PACIFIC CONFERENCE ON CIRCUITS AND SYSTEMS (APCCAS), 2016, : 629 - 632
12345