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：

080904 ;

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

页码：83 / 87

页数：5

共 3 条

[1] HOPF BIFURCATION OF AN OSCILLATOR WITH QUADRATIC AND CUBIC NONLINEARITIES AND WITH DELAYED VELOCITY FEEDBACK[J]. 王怀磊,王在华,胡海岩. Acta Mechanica Sinica. 2004(04)
[2] Collective dynamics of delay-coupled limit cycle oscillators[J] . Abhijit Sen,Ramana Dodla,George L. Johnston. Pramana . 2005 (3)
[3] The dynamics of two coupled van der Pol oscillators with delay coupling
Wirkus, S
Rand, R
[J]. NONLINEAR DYNAMICS, 2002, 30 (03) : 205 - 221

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