Dynamics of a quasiperiodically forced Rayleigh oscillator

被引：4

作者：

Chedjou, J. C.

Kana, L. K.

Moussa, I.

Kyamakya, K.

Laurent, A.

机构：

[1] Int Ctr Theoret Phys, I-34014 Trieste, Italy

[2] IUT, LEM, GE2, F-03100 Montlucon, France

[3] Univ Dschang, Fac Sci, Dept Phys, Dschang, Cameroon

[4] Univ Dschang, Fac Sci, Doctoral Sch Elect & Informat Technol, UDETI, Dschang, Cameroon

[5] Univ Yaounde 1, Fac Sci, Dept Phys, Yaounde, Cameroon

[6] Univ Klagenfurt, Inst Informat Syst, A-9020 Klagenfurt, Austria

[7] Univ Clermont Ferrand, IUT, LEM, GE2, Montlucon, France

来源：

JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME | 2006年 / 128卷 / 03期

关键词：

oscillatory states; hysteresis boundaries; stability criteria; nonlinear oscillator; chaos; bifurcations; analog simulation;

D O I：

10.1115/1.2232684

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper studies the dynamics of a self-excited oscillator with two external periodic forces. Both the nonresonant and resonant states of the oscillator are considered. The hysteresis boundaries are derived in terms of the systems parameters. The stability conditions of periodic oscillations are derived. Routes to chaos are investigated both from direct numerical simulation and from analog simulation of the model describing the forced oscillator One of the most important contributions of this work is to provide a set of reliable analytical expressions (formulas) describing the system's behavior These are of great importance to design engineers. The reliability of the analytical formulas is demonstrated by a very good agreement with the results obtained by both the numeric and experimental analyses.

引用

页码：600 / 607

页数：8

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