Role of additive gaussian noise in suppressing chaos by weak harmonic excitations

被引：0
|
作者：
Chacon, R.
Martinez, P. J.
机构：
[1] Univ Extremadura, Escuela Ingn Ind, Dept Fis Aplicada, E-06071 Badajoz, Spain
[2] Univ Zaragoza, EUITI, Dept Fis Aplicada, Zaragoza 50018, Spain
[3] Univ Zaragoza, CSIC, Inst Ciencia Mat Aragon, E-50009 Zaragoza, Spain
来源：
FLUCTUATION AND NOISE LETTERS | 2006年 / 6卷 / 03期
关键词：
chaos suppression; Gaussian noise; Melnikov method; Duffing oscillator;
D O I：
10.1142/S0219477506003410
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The effect of additive Gaussian noise on the chaos-suppression scenario of a broad and important family of dissipative nonautonomous systems subjected to chaos-suppressing excitations is investigated by means of Melnikov's method. The analysis indicates that the optimal suppressory initial phase differences between the chaos-inducing and chaos suppressing forcing terms remain the same as in the purely deterministic case, while the ranges of suppressory initial phase differences and amplitudes narrow as noise strenght is increased from zero. Computer simulations of a two-well Duffing oscillator confirm the theoretical predictions.
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页码：L279 / L286
页数：8
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