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

被引：7
|
作者：
Gholizade-Narm, Hossein [1 ]
Azemi, Asad [2 ]
Khademi, Morteza [3 ]
机构：
[1] Shahrood Univ Technol, Fac Elect Elect & Robot Engn, Shahrood, Iran
[2] Penn State Univ, Coll Engn, University Pk, PA 16802 USA
[3] Ferdowsi Univ Mashhad, Fac Engn, Mashhad, Iran
来源：
CHINESE PHYSICS B | 2013年 / 22卷 / 07期
关键词：
van der Pol oscillator; delay coupling; phase synchronization; synchronization frequency; DYNAMICS;
D O I：
10.1088/1674-1056/22/7/070502
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
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.
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页数：5
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