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

页码：3565 / 3569

页数：5

共 16 条

[1] Analytic solutions for nonlinear waves in coupled reacting systems [J].

Abramson, G ;

Kenkre, VM ;

Bishop, AR .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2002, 305 (3-4) :427-436

[2] Synchronization and graph topology [J].

Belykh, T ;

Hasler, M ;

Lauret, M ;

Nijmeijer, H .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2005, 15 (11) :3423-3433

[3] Time-periodic phases in populations of nonlinearly coupled oscillators with bimodal frequency distributions [J].

Bonilla, LL ;

Vicente, CJP ;

Spigler, R .

PHYSICA D, 1998, 113 (01) :79-97

[4] Synchronization of nonlinear electronic oscillators for neural computation [J].

Cosp, J ;

Madrenas, J ;

Alarcón, E ;

Vidal, E ;

Villar, G .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2004, 15 (05) :1315-1327

[5] MULTIMODE OSCILLATIONS IN MUTUALLY COUPLED VANDERPOL TYPE OSCILLATORS WITH 5TH-POWER NON-LINEAR CHARACTERISTICS [J].

DATARDINA, SP ;

LINKENS, DA .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1978, 25 (05) :308-315

[6]

ENDO T, 1976, IEEE T CIRCUITS SYST, V23, P100, DOI 10.1109/TCS.1976.1084183

[7]

ENDO T, 1976, IEEE T CIRCUITS SYST, V23, P517, DOI 10.1109/TCS.1976.1084257

[8]

ENDO T, 1978, IEEE T CIRCUITS SYST, V25, P7, DOI 10.1109/TCS.1978.1084380

[9]

Gray C M, 1994, J Comput Neurosci, V1, P11, DOI 10.1007/BF00962716

[10]

KIMURA H, 1965, T IECE, V48, P1647

← 1 2 →