Properties of synchronization in the systems of non-identical coupled van der Pol and van der Pol-Duffing oscillators. Broadband synchronization

被引：32

作者：

Kuznetsov, Alexander P. ^{[2
]}

Roman, Julia P. ^{[1
]}

机构：

[1] Saratov NG Chernyshevskii State Univ, Dept Nonlinear Proc, Saratov 410026, Russia

[2] Russian Acad Sci, Inst Radio Engn & Elect, Saratov 410019, Russia

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2009年 / 238卷 / 16期

关键词：

Synchronization; Van der Pol oscillators; Rotation number; Oscillator death; BIFURCATION; TRANSITION; DYNAMICS; DEATH;

D O I：

10.1016/j.physd.2009.04.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The particular properties of dynamics are discussed for dissipatively coupled van der Pol oscillators, nonidentical in values of parameters controlling the Hopf bifurcation. Possibility of a special synchronization regime in an infinitively long band between oscillator death and quasiperiodic areas is shown for Such system. Features of the bifurcation picture are discussed for different values of the control parameters and for the case of additional Duffing-type nonlinearity. Analysis of the slow-flow equations is presented. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：1499 / 1506

页数：8

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