Melnikov chaos in a periodically driven Rayleigh-Duffing oscillator

被引：44
|
作者：
Siewe, M. Siewe [1 ,2 ]
Tchawoua, C. [2 ]
Woafo, P. [3 ]
机构：
[1] Univ Pretoria, Dept Math & Appl Math, ZA-0002 Pretoria, South Africa
[2] Univ Yaounde 1, Fac Sci, Dept Phys, Lab Mecan, Yaounde, Cameroon
[3] Univ Yaounde 1, Fac Sci, Dept Phys, Lab Nonlinear Modelling & Simulat Engn & Biol Phy, Yaounde, Cameroon
来源：
MECHANICS RESEARCH COMMUNICATIONS | 2010年 / 37卷 / 04期
关键词：
Homoclinic orbit; Melnikov chaos; Rayleigh oscillator; Bifurcation; BIFURCATION; MODEL; VIBRATION; PENDULUM; FIELD;
D O I：
10.1016/j.mechrescom.2010.04.001
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The chaotic behavior of Duffing-Rayleigh oscillator under harmonic external excitation is investigated. Melnikov technique is used to detected the necessary conditions for chaotic motion of this deterministic system. The results show that the shape of the basin boundaries of attraction are fractals as the damping increases above the threshold of Melnikov chaos. The effect of damping parameter on phase portraits and Poincare maps, in addition to the numerical simulations of bifurcation diagram and maximum Lyapunov exponents is also investigated. Crown Copyright (C) 2010 Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：363 / 368
页数：6
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