Dynamics of Large Rings of Coupled Van der Pol Oscillators

被引：3

作者：

Barron, M. A. ^{[1
]}

Sen, M. ^{[2
]}

Corona, E. ^{[2
]}

机构：

[1] Univ Autonoma Metropolitana Azcapotzalco, Dept Mat, Av San Pablo 180,Col Reynosa Tamaulipas, Mexico City 02200, DF, Mexico

[2] Univ Notre Dame, Aerosp & Mech Engn Dept, Notre Dame, IN 46556 USA

来源：

INNOVATIONS AND ADVANCED TECHNIQUES IN SYSTEMS, COMPUTING SCIENCES AND SOFTWARE ENGINEERING | 2008年

关键词：

D O I：

10.1007/978-1-4020-8735-6_65

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

The dynamic behavior and synchronization of a large ring of mutually coupled Van der Pol oscillators is studied by extending a methodology previouly reported by another authors, in which the original equations are linearized around the unperturbed limit cycle. The linearized equations are trasformed into Hill's equations and from here conditions for stability and synchronization are derived. Numerical simulations corroborate the validity of the stability analysis for a ring of 10000 van der Pol oscillators.

引用

页码：346 / +

页数：2

共 12 条

[1]

AGGARWAL JK, 1966, IEEE T CIRCUIT T DEC, P465

[2]

Dayawansa WP, 2001, IEEE DECIS CONTR P, P423, DOI 10.1109/CDC.2001.980137

[3]

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

[4]

FARKAS M, 1994, PERIODIC IWOTIONS

[5] On stability of synchronized van der Pol oscillators [J].

Filanovsky, I. M. ;

Verhoeven, C. J. M. .

2006 13TH IEEE INTERNATIONAL CONFERENCE ON ELECTRONICS, CIRCUITS AND SYSTEMS, VOLS 1-3, 2006, :1252-+

[6] An investigation of coupled, van der Pol oscillators [J].

Low, LA ;

Reinhall, PG ;

Storti, DW .

JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME, 2003, 125 (02) :162-169

[7]

Magnus W., 1966, HILLS EQUATION

[8]

Nana B., 2006, PHYS REV E, V74, P1

[9] Effects of the deviation of element values in a ring of three and four coupled van der Pol oscillators [J].

Ookawara, T ;

Endo, T .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1999, 46 (07) :827-840

[10]

PARSON JD, 1972, IEEE T CIRCUIT T MAY, P292

← 1 2 →